The hare can afford to nap for a maximum time of 6.67 seconds without losing the race if his speed is 15 m/s.
After running for 7 seconds, the hare has covered a distance of:
[tex]d_h = v_h * t = 15 m/s * 7 s = 105 m[/tex]
The hare is now 895 m away from the starting line and 100 m away from the finish line. The tortoise is 895 m away from the starting line and moving towards the finish line at a speed of 0.27 m/s.
The hare needs to cover a distance of 100 m to reach the finish line, while the tortoise needs to cover a distance of 895 m. If the hare takes a nap for a certain amount of time, the tortoise will continue to move towards the finish line and may eventually cross the finish line before the hare wakes up.
We can calculate the time it would take the tortoise to reach the finish line by dividing the distance by its speed:
[tex]t_t = d_t / v_t = 895 m / 0.27 m/s = 3314 s[/tex]
The hare needs to wake up and cover the remaining distance to the finish line before the tortoise does. The distance the hare needs to cover is:
[tex]d_h = 100 m[/tex]
The maximum speed of the hare is 15 m/s, which means the time it would take the hare to cover the distance is:
[tex]t_h = d_h / v_h = 100 m / 15 m/s = 6.67 s[/tex]
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two similar wooden blocks are tied one behind the other and pulled across a level surface. friction is not negligible. the force required to pull them at constant speed is f. if one block is stacked upon the other, how would the new force required to pull them at constant speed compare to f?
If the force required to pull the two separate blocks at constant speed is F, then the force required to pull the two stacked blocks at a constant speed will be 2F.
When two blocks are tied together and pulled across a level surface with friction, the force required to pull them at constant speed is determined by the frictional force between the blocks and the surface. Let's call this force F.
When one block is stacked on top of the other, the total mass of the two blocks is now doubled, but the contact area between the blocks and the surface remains the same. As a result, the frictional force between the blocks and the surface will also double, since it is proportional to the normal force (the force perpendicular to the surface), which is equal to the weight of the blocks. Therefore, the force required to pull the two stacked blocks at a constant speed will be twice the original force F required to pull the two separate blocks.
In other words, if the force required to pull the two separate blocks at constant speed is F, then the force required to pull the two stacked blocks at a constant speed will be 2F.
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a student is playing with a magnetic compass near a bar magnet. at a range of 10 cm, they notice that the compass needle is pulled slightly towards the magnet. what would they see if the compass was kept at the same distance, but moved to the other end of the magnet?
Needle will be pushed away form the magnet if the compass was kept at the same distance, but moved to the other end of the magnet
When the magnetic field of the bar magnet intercepts the magnetic field of the compass needle, the compass needle deflects because it encounters a distinct magnetic field.
Needle of the magnetic compass is deflected when a bar magnet is brought up to a magnetic compass. As the north pole of the magnet is brought close to the compass, the needle's south side is drawn to it. Needle will be pushed away form the magnet if the compass was kept at the same distance, but moved to the other end of the magnet.
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several small molecules are important to biochemical systems. you have isolated one of these and to identify it you determine its molar mass. you release 0.37 g of the gas into a flask with a volume of 732 ml at 21 °c. the pressure in the flask is 209 torr. what is the unknown gas?
The molar mass of 34.26 g/mol corresponds to the molar mass of nitrogen gas (N2) which is 28.02 g/mol. So the unknown gas is probably nitrogen.
To identify an unknown gas, we need to determine its molar mass. You can use the ideal gas law to calculate the molar mass. The ideal gas law is:
PV = nRT
where P is pressure, V is volume, n is number of moles, R is gas constant, and T is temperature in Kelvin. To calculate the molar mass, rearrange the ideal gas law and solve for n.
n = PV/RT
The value of the gas constant R is 0.0821 L-atm/mol-K. To convert temperature to Kelvin, add 273.15 to the temperature in °C. Pressure must be converted from torr to atm. One atmosphere equals 760 torr, so:
P = 209 torr / 760 torr/atm
P = 0.2758 atmospheres
Additionally, we need to convert the volume from mL to L. 1 L = 1000 mL, V=732mL/1000mL/L
V = 0.732L
Now that we have all the values we need, we can plug them into the ideal gas law equation to calculate the number of moles.
n = 0.2758 atm * 0.732 L / (0.0821 L-atm/mol-K * (21 + 273.15 K))
n = 0.0108 mol. The mass of the gas is given as 0.37 g, so the molar mass can be calculated as
molar mass = mass / mol
= 0.37 grams/0.0108 moles
= 34.26 g/mole
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a bit of the sunlit side of the moon shows with the light side being on the left called___
A bit of the sunlit side of the moon shows with the light side being on the left called as the darkside.
What is darkside?
The dark side of the moon is an idiom which refers to the unknown, mysterious and perhaps dangerous aspects of life. It describes the things that are hidden from us, the things that are hard to understand, and the things that can cause us harm. The phrase has been used to refer to the hidden depths of the human psyche, the unknown forces of the universe, and the unknown aspects of a person's life. It can also refer to a person's hidden and perhaps darker motivations and desires, as well as the unknown risks associated with decisions that people make. The phrase is a reminder that life is unpredictable and sometimes dangerous, and that people should be aware of the potential consequences of their decisions.
Therefore, A bit of the sunlit side of the moon shows with the light side being on the left called as the darkside.
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A baggage handler drops your 10 kg suitcase onto a conveyor belt running at 1.5 m/s. The materials are such that s = 0.50 and k = 0.20. How far is your suitcase dragged before it is riding smoothly on the belt?
The suitcase is dragged approximately 0.58 meters before it is riding smoothly on the conveyor belt.
What is drag force?Drag force is a force that resists the motion of an object through a fluid (such as air or water) due to the frictional forces between the object's surface and the fluid.
Here,
The initial velocity of the suitcase is zero since it was dropped from rest. The suitcase will accelerate until the kinetic friction force between it and the conveyor belt matches the force of gravity acting on it, resulting in a constant velocity. We can use the following equation to find the distance traveled by the suitcase until it reaches a constant velocity:
[tex]d = (v_f^2 - v_i^2) / (2 * \mu* g)[/tex]
We know the final velocity of the suitcase is 1.5 m/s, the coefficient of kinetic friction is 0.20, and g is 9.81 m/s^2. Substituting these values into the equation, we get:
[tex]d = (1.5^2 - 0) / (2 * 0.20 * 9.81)[/tex]
d ≈ 0.58 meters
Therefore, the suitcase is dragged approximately 0.58 meters before it is riding smoothly on the conveyor belt.
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What is the acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m?
The acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m g = 9.8 m/s2.
calculation using the equation:
Gravity (g) = (G x Mass of Planet)/(Radius of Planet)^2
Where G is the gravitational constant (6.67408 x 10-11m3kg-1s-2).
Therefore, gravity (g) = (6.67408 x 10-11m3kg-1s-2 x 9.8 x 1026 kg)/(2.8 x 107 m)^2
g = 9.8 m/s2
What is acceleration due to gravity?
Acceleration due to gravity is the acceleration of an object in a vacuum due to the force of gravity. It is commonly denoted by g and has a value of 9.8 m/s² or 32.2 ft/s² at sea level on Earth.
Therefore, The acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m g = 9.8 m/s2.
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he fact that the elements of life were produced in stars suggests the following two things: a. (1) these elements have become more common as the universe has grown older. (2) these elements are the most common elements in the universe. b. (1) the universe began in a big bang. (2) the elements of life exist in all stars. c. (1) these elements only exist in very old stars. (2) these elements are extremely rare. d. (1) these elements have become more common as the universe has grown older. (2) these elements should be found in nearly all star systems.
The correct answer is (d): (1) these elements have become more common as the universe has grown older. (2) these elements should be found in nearly all star systems.
The elements that make up life (such as carbon, nitrogen, oxygen, and iron) are created in stars through nuclear fusion and supernova explosions. As the universe has grown older, more and more stars have been born and died, producing these elements and spreading them throughout the universe. Therefore, these elements have become more common over time.
Additionally, because these elements are created in stars, they should be found in nearly all star systems. While the exact abundance of these elements may vary depending on the age and type of star, they should be present in some amount in most stars.
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What kind of motion does a torque tend to impart to an object?
A torque tends to impart rotational motion to an object and is responsible for keeping the object in rotation.
Torque in rotational motion is the same as force in linear motion. It is the main factor that maintains an object's rotation. An object rotates at an acceleration inversely proportional to its moment of inertia when a torque is applied to it. Torque is mathematically determined by:
Γ= Ia
where, I is the moment of inertia and a is the acceleration with which the object rotates. Torque has both magnitude and direction and is, thus, a vector quantity. Torque is expressed in Newton metre or Nm.
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A power source supplies a prescribed voltage and is used to power a light bulb. If another light bulb is connected in parallel to the first how would it affect the current in the power source?
1) Cannot be Determined.
2) The current would remain the same.
3) The current would decrease.
4) The current would increase.
Power will treble with an increase in voltage. The current (or flow of electrons) will rise in direct proportion to the voltage (or electrical pressure) in a circuit; for example, doubling the voltage will result in a doubling of the current flow. Thus, option D is correct.
What affect the current in the power source?The voltage and resistance in a circuit that prevent current flow determine how many current flows through it. Similar to voltage, resistance is a number that depends on two locations.
According to Ohm's law, the voltage (V) and resistance (R) in a circuit are both inversely correlated with the electrical current (I) that flows through the circuit (R). Since the resistance of the circuit remains constant, if the voltage is raised, the current will rise as well.
Therefore, current would increase in the power source.
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Again some as last 40 pionts and brianlest
Which of these statements is true of the impacts of climate change?(1 point)
Responses
They have become less severe over time.
They will impact human food supplies.
They affect plants and animals more than people.
They are mostly associated with oceans.
They will impact human food supplies.
Climate change is affecting food production by causing changes in temperature, precipitation patterns, and extreme weather events, which can reduce crop yields and disrupt food systems. This, in turn, can impact food security and increase food prices, particularly for vulnerable populations. Climate change is also affecting the distribution of fish and other aquatic species, which are critical sources of protein for many communities.
In fact the statement that the climate change affects plants and animals more than people can be considered as true. Because, they cannot have sufficient protection as humans have.
What are climate changes ?The climate is the change in whether for a longer period of time over an area. The climate changes in each season and apart from that, some worse conditions in earth make some dramatic climate changes which badly affects all living and non- living things in the world.
The global warming is the notable climate change occurring in earth due to the uncontrolled emission of gases like carbon dioxide. The rise in temperature melts the ices and rises the sea level which leads to the extinction of some polar animals.
Plants and animals are more pronged to these changes because they don' t have sufficient protection against the threatening climatic changes. Hence, option C is correct.
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a ball of mass 3 kg sits on the ground at a distance from the center of the earth equal to the radius of the earth. what is the difference in this objects weight (in lbs) when comparing to the same object placed at the top of mount everest at a height of 8850 meters above this level?
The difference in weight of the ball between the surface of the Earth and the top of Mount Everest is approximately 0.02 pounds.
The weight of an object is given by the product of its mass and the acceleration due to gravity at its location. The acceleration due to gravity depends on the distance from the center of the Earth, and it decreases as the distance from the center of the Earth increases.
At the surface of the Earth, the acceleration due to gravity is approximately 9.81 m/s². The radius of the Earth is approximately 6,371 km. Therefore, the weight of the ball at the surface of the Earth is:
Weight = mass x acceleration due to gravity
= 3 kg x 9.81 m/s²
= 29.43 N
To find the weight of the ball at the top of Mount Everest, we need to calculate the acceleration due to gravity at that altitude. We can use the fact that the acceleration due to gravity decreases with the square of the distance from the center of the Earth. The distance from the center of the Earth at the top of Mount Everest is:
Distance = radius of the Earth + height of Mount Everest
= 6,371 km + 8.85 km
= 6,379.85 km
The acceleration due to gravity at this distance is:
acceleration due to gravity = (acceleration due to gravity at the surface of the Earth) x (radius of the Earth / distance)²
= 9.81 m/s² x (6,371 km / 6,379.85 km)²
= 9.78 m/s²
Therefore, the weight of the ball at the top of Mount Everest is:
Weight = mass x acceleration due to gravity
= 3 kg x 9.78 m/s²
= 29.34 N
The difference in weight is the weight at the surface of the Earth minus the weight at the top of Mount Everest:
Difference in weight = Weight at surface - Weight at Everest
= 29.43 N - 29.34 N
= 0.09 N
To convert to pounds, we can divide the weight in newtons by the conversion factor 4.448 N/lb:
Difference in weight = 0.09 N / 4.448 N/lb
= 0.02 lb (rounded to two decimal places)
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a 0.10 m long solenoid contains 500 turns and carries a current of 4.0 a. what is the strength of the magnetic field at the center of the solenoid if its radius is 1.0 x 10-2 m?
The strength of the magnetic field at the center of the solenoid is 1.26 x 10^-2 T.
What is a magnetic field?An area of space known as a magnetic field is where a magnetic force is applied to a magnetic item. It is produced by electric charges moving, such as electrons moving in an electric current or electrons moving in the atoms and molecules of magnetic materials.
A magnetic field has both a magnitude and a direction because it is a vector field. While the direction of the magnetic field is determined by the direction of the magnetic force it exerts on a north magnetic pole, the strength of the magnetic field is measured in units of tesla (T).
To calculate the magnetic field at the center of the solenoid:
B = μ₀ * n * I
Where:
μ₀ is the permeability of free space (4π x 10^-7 T·m/A)
n is the number of turns per unit length (in this case, n = N/L, where N is the total number of turns and L is the length of the solenoid)
I is the current
We can calculate n as:
n = N/L = 500 turns / 0.10 m = 5000 turns/m
Now we can substitute the values into the equation:
B = μ₀ * n * I = (4π x 10^-7 T·m/A) * (5000 turns/m) * (4.0 A)
B = 1.26 x 10^-2 T
Therefore, the strength of the magnetic field at the center of the solenoid is 1.26 x 10^-2 T (tesla).
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How are Van Allen belts formed?
O High-energy particles from the Sun get trapped in Earth's magnetic field
O Metals in Earth's core sink and rise, producing a circular movement of the metals.
O Srticles in solar wind travel along lines of Earth's magnetic field and collide with gas atoms.
O Material from the surface of the Sun erupts and forms a loop due to the Sun's magnetic field.
The Van Allen belt is formed when High-energy particles from the Sun get trapped in Earth's magnetic field
How are Van Allen belts formed?The Van Allen belts are fields in outer space caused by Earth's magnetism. Magnetic striping is evidence of seafloor unfurling. The inner Van Allen belt is located usually between 6000 and 12 000 km (1 - 2 Earth radii [RE]) above Earth's surface, although it formed dips much near the South Atlantic Ocean. The outer radiation belt covers altitudes of roughly 25 000 to 45 000 km (4 to 7 RE).
Space scientist James Van Allen and his team at the University of Iowa were the first to locate the radiation belts, now also mention to as "The Van Allen Belts."
So we can conclude that The Van Allen belts were first discovered in 1958
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High-energy particles from the Sun get trapped in Earth's magnetic field.
option A.
How are Van Allen belts formed?The Van Allen belts are formed due to the interaction of charged particles from the solar wind with Earth's magnetic field. High-energy particles from the Sun get trapped in Earth's magnetic field, creating two belts of charged particles that encircle the planet.
The inner belt is made up of highly energetic protons, while the outer belt consists of energetic electrons. The charged particles are trapped by the magnetic field and follow magnetic field lines that are shaped like a torus (doughnut) around the Earth. This creates the Van Allen belts, which can extend several thousand kilometers into space and protect the Earth from the harmful effects of charged particles in the solar wind.
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For both waves on strings and sound waves in tubes,
A. The mode number is independent of the wavelength.
B. A higher mode number means a shorter wavelength.
C. A higher mode number means a longer wavelength.
The correct statement is B.
A higher mode number means a shorter wavelength.
What is Wavelength?
Wavelength is an important characteristic of all types of waves, including electromagnetic waves (such as light and radio waves) and mechanical waves (such as sound waves and water waves). In general, the wavelength of a wave is determined by the source of the wave, the medium through which it travels, and the frequency of the wave.
The correct statement is B. A higher mode number means a shorter wavelength.
In both cases, the mode number refers to the number of segments, or nodes, into which the wave can be divided. The wavelength, on the other hand, refers to the distance between two adjacent peaks or troughs of the wave.
When the mode number increases, the number of segments or nodes in the wave increases, which means that the wavelength must decrease in order to maintain the same frequency of the wave. This is because the total length of the string or tube remains the same, and so the length of each segment must decrease as the number of segments increases. Therefore, a higher mode number corresponds to a shorter wavelength.
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Is temperature the measure of the average kinetic energy of a substance?
Yes, The average kinetic energy of the particles in a material is measured by temperature. It is a typical particle's kinetic energy.
The average kinetic energy of the particles in a material is measured by temperature. The overall kinetic energy of the particles in a material is measured by thermal energy. The more the mobility of particles, the higher the temperature and thermal energy of a material. Kinetic energy is the energy held by a moving item. A substance's temperature is directly proportional to the average kinetic energy of its particles. The kinetic energy of the particles is 0 at absolute zero. A substance's temperature is proportional to its kinetic energy. Since kinetic energy is the energy that a material has as a result of its molecules moving, when a substance absorbs heat, its molecules move quicker, increasing the substance's kinetic energy.
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on still water, olive can paddle her kayak 5 m / s . she wishes to cross a river which flows east at 2 m / s . if olive is standing on the south bank, and would like to reach a point directly across the river on the north bank, at what angle upstream (west of north) should she point her kayak?
Olive should position her kayak at a 21.5 degree angle upstream (west of north).
What does physics mean by downstream vs. upstream?One of the variations is when the boat travels downstream in the same direction as the river. We refer to this as the downstream motion. However, we refer to the motion of a boat travelling upstream when it does so in the opposite direction as a stream or river.
By deducting the velocity of the river from the velocity of the kayak, one may get the velocity of Olive's kayak in relation to the river:
v_relative = v_kayak - v_river
v_kayak = 5 m/s to the North (since Olive can paddle at 5 m/s on still water)
v_river = 2 m/s to the East
Using the Pythagorean theorem, we can find the magnitude of the relative velocity:
|v_relative| = sqrt((5 m/s)^2 + (2 m/s)^2) = 5.39 m/s
The angle upstream (west of north) that Olive should point her kayak can be found using the inverse tangent function:
tan(theta) = opposite / adjacent
opposite = v_relative * sin(alpha)
adjacent = v_relative * cos(alpha)
Now we can solve for theta:
theta = atan(opposite / adjacent)
We can substitute the expressions for opposite and adjacent in terms of v_relative and alpha:
theta = atan(v_relative * sin(alpha) / v_relative * cos(alpha))
Simplifying, we get:
theta = atan(tan(alpha))
Using trigonometry, we can find the angle alpha:
sin(alpha) = opposite / hypotenuse = 2 m/s / 5.39 m/s = 0.371
alpha = asin(0.371) = 21.5 degrees
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Is 0.8 electronegativity polar or nonpolar?
In the case of 0.8 electronegativity, a molecule or bond is polar based on this value.
Polarity depends on the difference in electronegativity between atoms in a bond or molecule. If the difference in electronegativity between atoms is small or zero, the bond or molecule is generally considered nonpolar, whereas if the difference in electronegativity is large, the bond or molecule is generally considered polar.
Electronegativity is a measure of an atom's ability to attract electrons towards itself when participating in a chemical bond. However, electronegativity values are not used to determine the polarity of a molecule or bond directly.
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the earth has a much larger mass than the moon. how many moons would it take to equal the mass of earth?
Answer: 81 1/2 moons would be needed to equal the amount of mass of Earth
Explanation:
I put a velocity of 5m/s up on a 2kg mass on a spring with a k value of 150N/m. What is the PE of the spring at the maximum, and what is the amplitude? What is the T?
The PE of the spring at the maximum is [tex]375J[/tex] and Temperature T is [tex]0.907s[/tex]
The potential energy of the spring at the maximum is the elastic potential energy. This is equal to the work done on the spring (the product of force and displacement) and is given by the equation:
[tex]PE =\frac{ 1}{2}kx^2[/tex], where k is the spring constant, and x is the displacement.
In this case, the displacement is equal to the amplitude of the spring, given by the equation:
[tex]A = (\frac{v^{2}}{k})^{1/2}[/tex], where v is the velocity.
Substituting this into the equation for PE, we get:
[tex]PE =\frac{ 1}{2}k(\frac{v^{2}}{k})^{2 }\\\\=\frac{ 1}{2}kv^{2}[/tex]
Plugging in the values for k and v given in the question, we get [tex]PE = \frac{1}{2}*150N/m*(5m/s)^2\\ \\PE= 375J.[/tex]
The equation provides the spring's duration:
[tex]T = 2\pi (m/k)^{1/2}[/tex]
where m is the mass of the object.
Substituting the values for m and k given in the question, we get:
[tex]T = 2\pi(\frac{2kg}{150N/m})^{1/2}\\\\ T= 0.907s.[/tex]
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distinguish between aerobic and anaerobic respiration write any 3points
Question 1 (1 point)
A massive asteroid in our solar system's asteroid belt, having an estimated mass of 2.6 x
1021 kg and an orbital speed of 14900 m/s. Determine the amount of kinetic energy
possessed by the asteroid.
Answer:
17.8 x 10^29 J
Explanation:
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 0.5 * m * v^2
where m is the mass of the object and v is its velocity.
In this case, the mass of the asteroid is 2.6 x 10^21 kg, and its velocity is 14900 m/s. Plugging these values into the formula:
KE = 0.5 * 2.6 x 10^21 kg * (14900 m/s)^2
KE = 0.5 * 2.6 x 10^21 kg * 22.11 x 10^7 m^2/s^2
KE = 0.5 * 2.6 x 10^21 kg * 22.11 x 10^7 m^2/s^2
KE = 17.8 x 10^29 J
The asteroid possesses 17.8 x 10^29 J of kinetic energy.
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
What is the angle between two vectors if magnitude of their vector product is equal three times their scalar product
Answer:
θ = 60°
Explanation:
The magnitude of the vector product of two vectors is three times their scalar product. What is the angle between the two vectors? Let A and B be the two vectors, and θ be the angle between them. θ = 60°.
what is the accleration of free fall on a planet with four times the mass of the earth, but eight times the volume?
39.2 ms² is the acceleration of free fall on a planet with four times the mass of the earth, but eight times the volume.
Gravitational Acceleration: When a very big object, such as a planet, exerts a gravitational pull on a much smaller item, the planet's gravity causes the smaller object to fall downhill at a specific pace. Its pace is independent of the object's mass (provided that the object is significantly less massive than the planet).
The mass rises linearly while the radius shrinks exponentially, yielding
A = 4 × g
= 4 × 9.8 ms²
= 39.2 ms².
Gravity's acceleration is exclusively determined by the planet's mass and radius (distance from the center of the planet to its surface). The following equation may be used to calculate the acceleration due to gravity (g) given the planet's mass and radius (M and R).
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two oppositely-charged plates are set up in the lab, where the positive plate is placed north of the other plate. in which direction would the electric field lines between the plates be pointing of a diagram was drawn?
Answer:
Explanation:
observe the velocities of the waves on graph fig,ure 2.4. which one travels faster? group of answer choices
The P wave, or main wave, is the initial type of body wave. It is the kind of seismic wave that moves most quickly and shows up first at a seismic station. Both fluids like water and the liquid layers of the Earth can conduct P waves, as can solidly rock.
What are the P waves and S wave?Due to the way P-waves distort the material they are passing through and the restoring forces of that material, P-waves will always move more quickly than S-waves. It's crucial to comprehend that S-waves cannot pass through liquids.
P waves leave the earthquake first and go the furthest. The oscillation of rock occurs in shear or S waves that are parallel to the direction of wave propagations waves always follow P waves in a rock environment and normally flow at a speed of about 60% that of the latter.
Therefore, P Waves ravels faster.
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How do the physical and chemical properties contribute to the function of the synthetic products from gold
The physical properties of gold, such as its malleability, ductility, and electrical/thermal conductivity, are important for making synthetic products from gold.
What is physical properties?Physical properties are characteristics of a material that can be observed without changing the composition of the material. Examples of physical properties include color, density, hardness, electrical conductivity, melting point, boiling point, and solubility.
From a chemical perspective, gold is a relatively inert element, meaning it is resistant to oxidation and other chemical reactions. This makes it ideal for use in applications where it may be exposed to harsh environments or corrosive materials, such as medical implants and aerospace components. Additionally, gold's unique properties make it suitable for use in catalytic reactions, meaning it can speed up chemical reactions without itself being consumed or affected. This is used in a variety of industries, such as the production of pharmaceuticals, food additives, and polymers.
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. a common statistic in car tests is the standing (starting from rest) quarter-mile performance. a modern sports car can achieve a terminal speed (speed at the end of the quarter-mile) of 120 mph (193 km/h). how does the average acceleration compare to g? (0.25 mile
The required acceleration of the car compared to g is 0.36 times the value of g.
The velocity v of the car is given as 193 mph = 193× 18/5 = 53.61 m/s.
The distance covered = 0.25 miles = 0.25× 1609 m/ 1 mile = 402.336 m
Initial velocity u = 0
Let us find the acceleration of the car using the equation of motion.
v² - u² = 2 a s
where,
v is final velocity
u is initial velocity
a is acceleration
s is distance
Entering values in the above equation, we have,
53.61² - 0 = 2 a (402.336)
804.672 a = 2874.03
a = 3.57 m/s²
Let us compare it with the value of 'g',
a/g = 3.57/9.8 = 0.36
So, a = 0.36 g
Thus, the acceleration of the car is 0.36 times the value of g.
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to determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. if the time is 2.3 s, what is the height of the bridge? a) 10 m b) 14 m c) 26 m d) 32 m
the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. if the time is 2.3 s, 26m is the height of the bridge.
initial velocity u = 0m/s
time taken t = 2.3 s
height of the bridge is H = ut + 1/2 g t²
= 0+ 1/2 *9.8 * ( 2.3 )²
= 25.9 m≅26m
A bridge is a structure that spans a physical obstacle, such as a body of water, a valley, or a road. Bridges are designed to provide a stable and safe passage for people, vehicles, and materials. The design of a bridge depends on the type of obstacle it spans, the traffic it carries, and the environmental conditions in the area. Bridges can be made of various materials, including wood, stone, concrete, and steel. The construction of a bridge requires careful planning, engineering, and execution. Many factors must be considered, such as the load capacity of the bridge, the effects of wind and water on the structure, and the impact on the environment. Bridges play a vital role in transportation, commerce, and tourism.
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A man stands on a bathroom scale placed on the floor of a stationary elevator with the scale reading 740 N. What will be the reading on the scale when the elevator accelerates upward with an acceleration of 5.2 M/s2? Take g = 9.8 m/s2.
NEED ASAP PLEASE
Reading on the scale will be 1130 N when the elevator accelerates upward with an acceleration of 5.2 m/s2.
What is meant by acceleration?Change in velocity over the change in time is acceleration and is represented by : a = Δv/Δt.
Formula to calculate the apparent weight (W') is given by:
W' = W + ma
W is true weight of the person, m is mass of the person, and a is acceleration of the elevator.
Given, W = 740 N, a = 5.2 m/s2.
W = mg
g is acceleration due to gravity, which is 9.8 m/s2.
740 N = m * 9.8 m/s2
m = 740 N / 9.8 m/s2 = 75.5 kg
W' = W + ma = 740 N + (75.5 kg)(5.2 m/s2) = 740 N + 390 N = 1130 N
So, the reading on the scale will be 1130 N when the elevator accelerates upward with an acceleration of 5.2 m/s2.
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if a gymnast leaves the ground with a vertical velocity of 9.81 m/s when doing a back flip, where in her trajectory will her center of mass be 1.0 seconds later?
The correct option is B. Her trajectory will her center of mass be 1.0 seconds later at the apex.
[tex]V = V_0 - g*t[/tex]
where,
[tex]V_0 = initial velocity[/tex]
acceleration due to gravity = 9.8 m/s^2
t = 1.0 seconds
substituting the above values in the equation;
[tex]V_0 = 9.8 m/s + 9.8m/s^2*1.0 sec\\V_0 = 19.6 m/s[/tex]
**Hence after 1.0 sec the gymnast would almost reach 19.6 m as distance.
According to the trajectory of mass thrown uniformly,
[tex]H_(max)= v^2/ 2*g = 19.6^2/2*9.8 = 19.6 m[/tex] ----> indicates the mass reaches the peak after a time of 1.0 seconds
Speed is the directional velocity of an item in motion as an indication of its price of exchange in the role as located from a selected frame of reference and as measured through a specific widespread of time (e.g. 60 km/h northbound). speed is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of our bodies.
Velocity is a physical vector amount; both value and route are had to outline it. The scalar absolute value (magnitude) of velocity is referred to as pace, being a coherent derived unit whose quantity is measured in the SI (metric system) as meters according to 2nd (m/s or m⋅s−1). as an example, "five meters per 2d" is a scalar, while "five meters in keeping with 2d east" is a vector. If there may be a change in velocity, course, or both, then the object is said to be present process an acceleration.
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Complete Question:
If a gymnast leaves the ground with a vertical velocity of 9.81 m/s when doing a back flip, where in her trajectory will her center of mass be 1.0 sec later? Show the equation applied!
a) Approaching the apex
b) at the apex
c) descending from the apex
d) on the ground
e) not enough information
