To solve this problem, we need to use the kinematic equations of motion to determine the hang time of the Cuban tree frog during a single jump.
What is Velocity?
It is defined as the displacement of an object per unit time in a particular direction.
In other words, velocity is the speed of an object in a given direction. It is a vector quantity because it has both magnitude (the speed) and direction.
First, we need to find the vertical component of the initial velocity vector (v0) using the sine function:
sin(26°) = vy / 4.5 m/s
vy = 4.5 m/s sin(26°) = 1.98 m/s
The vertical component of the velocity vector determines how high the frog will jump.
Next, we can use the following kinematic equation to solve for the hang time (t) of the frog:
Δy = v0yt - 1/2 gt^2
where Δy is the vertical displacement (i.e., how high the frog jumps), v0y is the vertical component of the initial velocity vector, g is the acceleration due to gravity (9.8 m/s^2), and t is the hang time.
Since the frog jumps on level ground, its vertical displacement is zero (i.e., it returns to its original height). Therefore, we can simplify the equation as follows:
0 = v0yt - 1/2 gt^2
t(1/2 g t - v0y) = 0
t = 0 or t = 2v0y / g
We can discard the solution t = 0 because it is not physically meaningful. Therefore, the hang time of the Cuban tree frog during a single jump is:
t = 2v0y / g = 2(1.98 m/s) / 9.8 m/s^2 = 0.40 s
Therefore, the answer is (d) 0.40 s.
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With electric force, like charges ___.
A. Repel
B. Attract
With electric force, like charges repel each other. Therefore, option A is the correct answer. This is because like charges, such as two positive or two negative charges, have the same sign and will produce an electric field that points away from each other.
Why do opposite charges attract each other?Opposite charges, such as positive and negative, will produce an electric field that points towards each other, resulting in an attractive force that brings the charges closer together.
How can you identify a positive and negatively charged body?One can identify a charged body using a charged rod, such as a plastic rod that has been rubbed with a cloth. If you bring the charged rod close to an uncharged object, such as a piece of paper, and the paper is attracted to the rod, the rod is negatively charged. If the rod repels the paper, the rod is positively charged.
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What is the mass of an object if it has 420 J of potential energy while suspended by a rope 48 m above the ground?
Answer:
0.89kg
Explanation:
PE=mgh
PE=420 m=? g=9.8m/s^2 h=48
Making m the subject of formula
[tex]m = \frac{pe}{gh} [/tex]
[tex] = \frac{420}{9.8 \times 48} [/tex]
[tex] = \frac{420}{470.4} [/tex]
m=0.89kg
The mass of kerosene needed to boil 5 liters of water at 10°C is (q = 4. 6. 10 J/ kg, % = 4200 J/ kg·grad, heat losses are neglected)
The mass of kerosene needed to boil 5 liters of water at 10°C is approximately 28070 kg.
To determine how much kerosene is needed to boil 5 liters of water at 10°C, we must first determine how much heat is needed to bring the water's temperature up to 100°C and then boil it at that degree.
Heating water from 10°C to 100°C:
4.186 J/g°C (or 4.186 kJ/kg°C) is the specific heat capacity of water. As a result, J is the quantity of heat needed to raise the temperature of 5 liters (or 5000 grams) of water from 10°C to 100°C is:
Q1 = m x c x ΔT
= 5000 g x 4.186 J/g°C x (100°C - 10°C)
= 1952200 J
Water vaporizes at a heat of 2260 kJ/kg (or 2.26 × 106 J/kg) at 100 °C when it is heated to boiling. To boil 5 liters (or 5000 grams) of water at 100°C, the following amount of heat is needed:
Q2 = m x L
= 5000 g x 2.26 x 10^6 J/kg
= 1.13 x 10^10 J
To heat and boil the water, the following amount of heat is needed:
Qtot = Q1 + Q2
= 1952200 J + 1.13 x 10^10 J
= 1.149522 x 10^10 J
Where m is kerosene's mass, c is kerosene's specific heat capacity (4.6 kJ/kg°C), and ΔT is the temperature change of the kerosene.
Assuming that the initial temperature of the kerosene is also 10°C, the temperature change of the kerosene is:
ΔT = 100°C - 10°C
= 90°C
Substituting the values into the equation, we get:
1.149522 x 10^10 J = m x 4.6 kJ/kg°C x 90°C
Solving for m, we get:
m = 28069.6 kg
Hence, 28070 kg of kerosene is required to boil 5 liters of water at 10°C.
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Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, how much charge does each capacitor carry? 3Q Q/2 Q/3 Q
Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, Each capacitor will carry a charge of Q/3.
A capacitor is a two-terminal electrical device that can store energy in the form of an electric charge. It consists of two electrical conductors that are separated by a distance. The space between the conductors may be filled by vacuum or with an insulating material known as a dielectric.capacitor, device for storing electrical energy, consisting of two conductors in close proximity and insulated from each other. A simple example of such a storage device is the parallel-plate capacitor.
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A 23-in. Vertical rod cd is welded to the midpoint c of the 50-in. Rod ab. Determine the moment about ab of the 180-lb force q
The moment about ab of the 180-lb force q is 13,860 lb-in.
How to determine moment?To determine the moment about AB of the 180-lb force Q, we need to find the perpendicular distance between the line of action of the force and point A, and then multiply this distance by the magnitude of the force. This perpendicular distance is called the moment arm.
First, find the coordinates of point C. Since the vertical rod CD is welded to the midpoint C of the rod AB, use the midpoint formula:
x_C = (x_A + x_B)/2
y_C = (y_A + y_B)/2
where (x_A, y_A) and (x_B, y_B) are the coordinates of points A and B, respectively. Plugging in the values:
x_C = (0 + 50)/2 = 25 in.
y_C = (0 + 23)/2 = 11.5 in.
So point C has coordinates (25, 11.5).
Next, find the moment arm. To do this, draw a line through point C perpendicular to AB, and extend it until it intersects the line of action of the force Q. Call the point of intersection point D. Use similar triangles to find the distance from A to D.
The triangle ACD is similar to triangle ABC, since CD is perpendicular to AB and AC is the altitude to AB. Thus:
AC/AB = CD/BC
Solving for BC:
BC = (AB)(CD)/AC = (50 in.)(23 in.)/(11.5 in.) = 100 in.
Therefore, the distance from A to D is 100 - 23 = 77 in.
Finally, calculate the moment about AB by multiplying the magnitude of the force by the moment arm:
M_AB = Qd = (180 lb)(77 in.) = 13860 lb-in.
Therefore, the moment about AB of the 180-lb force Q is 13,860 lb-in.
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A school classroom has six identical lamps. Each of the lamps is connected in parallel across a 220V mains supply. State the voltage across one of the lamps
The voltage across one of the lamps will be 220V. This is because when components are connected in parallel, the voltage across each component is the same as the voltage across the source.
What is voltage?Voltage is a measure of the potential difference in electrical energy between two points. It is measured in volts and is the electrical force that causes current to flow in an electrical circuit. Voltage is the energy per unit charge that causes a current to flow through a conductor. It can be compared to the pressure of water in a pipe, where the greater the pressure, the more water that can be pushed through the pipe. Voltage is the primary factor in determining the amount of electrical current that can be produced in an electrical circuit. Voltage is also related to the amount of power that can be produced in an electrical circuit. Voltage can be generated by a variety of sources, such as batteries, generators, and rectifiers.
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The cooling system of a laser system fails. As a result, 64 kcal of heat are absorbed each minute by the laser rod in the laser system. The laser rod has a mass of 5 kg. It has a specific heat of 0. 3 kcal/kg • Co.
Find: How much the temperature of the rod increases each minute, in 0C
The temperature of the laser rod increases by 21.33 degrees Celsius each minute due to the failure of the cooling system.
When heat is transferred to an object, its temperature increases. The amount of temperature increase depends on the amount of heat transferred, the mass of the object, and its specific heat.
To calculate the temperature increase of the laser rod, we can use the formula:
ΔT = Q / (m * c)
where ΔT is the change in temperature, Q is the heat absorbed, m is the mass of the laser rod, and c is the specific heat of the material.
In our case, the laser rod is a closed system, and the heat added is 64 kcal per minute.
Substituting the given values, we get:
ΔT = 64 kcal / (5 kg * 0.3 kcal/kg•Co)
ΔT = 21.33 Co
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The gravitational potential energy of a person on a 4 m high diving board is 1800 J. What is the person's mass?
Answer:
45.9 kg
Explanation:
GPE = mgh
m = GPE / gh = (1800 J) / (9.8 m/s²)(4 m) = 45.9 kg
One mole of an ideal gas expands isothermally at 270 K from 1 litreto 3. 5 litres. The
temperature is then increased to 300 K at constant volume. Next the gas is compressed
isothermally at 300 K to its initial volume. The gas is then returned to its initial state. Calculate the net work done during this process
The net work done during this process is -992 J. The negative sign indicates that work was done on the system, i.e. the gas lost energy to the surroundings.
W1 = (1 mol)(8.314 J/mol·K)(270 K) ln(3.5 L / 1 L) ≈ 5978 J
Next, the temperature is increased at constant volume, so no work is done:
W2 = 0
Then, the gas is compressed isothermally at 300 K to its initial volume, so we can use the same equation as before to calculate the work done:
W3 = (1 mol)(8.314 J/mol·K)(300 K) ln(1 L / 3.5 L) ≈ -6969 J
Finally, the gas is returned to its initial state, so the work done is:
W4 = 0
Therefore, the net work done is:
Wnet = W1 + W2 + W3 + W4 = 5978 J + 0 J - 6969 J + 0 J = -992 J
work done is defined as the product of force and displacement, where force is the amount of energy required to move an object and displacement is the distance over which the object is moved. Mathematically, work done is expressed as W = F x d, where W is the work done, F is the force applied and d is the displacement.
Work done can be positive, negative, or zero depending on the direction of force and displacement. When the force is in the same direction as displacement, work done is positive, when the force is in the opposite direction to displacement, work done is negative, and when the force and displacement are perpendicular, work done is zero.
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find a magnitude and direction (the counterclockwise angle with the +x-axis) of a vector that is equal to a+b.
a: magnitude 27m direction 51°
b: magnitude 17m direction -6.5°
c: magnitude 19 m direction 0.0°
d: magnitude 27 m direction 39°
Magnitude and direction of a vector that is equal to a+b is 19m and 0.0° resp. Hence the correct option is C. magnitude 19 m direction 0.0°
What is Vector?`Vector is a mathematical quantity which has both magnitude and direction.
Vectors are denoted with usual notation with an arrow upon it. for example, Force, Displacement, Velocity and Acceleration etc. are the vectors which has both magnitude as well as direction.
When two same vectors are acting at a point in two dimension. The magnitude of resultant of this two vectors are given by,
R² = R₁² + R₁² +2R₁R₂cosθ......1
Where θ is the angle between them.
The direction of the resultant vector of two same vectors is given by the equation,
tanθ = (R₁ sinθ) ÷ (R₁ + R₂cosθ)......2.
In this picture, we have to find magnitude and direction of vector A+B, we have nothing to do with vector C.
vector A is at 37° from vertical, means 90-37 = 53° from positive x direction.
A = 12 m and 53°
B = 15m and 40°
angle between these two vectors are θ= 53+40 = 93°
magnitude of resultant of this two vectors are A+B which is given by the equation.
putting these values in equ. 1 we get,
R² = 12² + 15² +2(12×15)cos93°
R² = 350.15
R = 18.71 ≅ 19m ( magnitude)
From equation 2
tanα = (12 sin93°) ÷ (12+ 15cos93°)
tanα = 0.8337
α = 39.82° this angle is from vector B
so the angle of resultant from positive x axis is 40-39.82 = 0.17 ≅ 0.0°
Hence C is correct option is c: magnitude 19 m direction 0.0°
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Bats chirp at high frequencies that humans cannot hear. They use echoes to detect objects, such as insects, that are as small as one wavelength. A bat emits a chirp at a frequency of 45.4 kHz. Calculate the size in millimeters of the smallest insect that the bat can detect. (The speed of sound waves in air is 340 m/s.)
The 25 size in millimeters of the smallest insect that the bat can detect.
What is wavelength ?
The distance between identical points (adjacent crests) in adjacent cycles determines how far a waveform signal has travelled in space or over a wire. In wireless systems, this length is often expressed in metres (m), centimetres (cm), or millimetres (mm).
What is speed ?
The rate of a directionally changing object's location. The SI unit of speed is created by combining the fundamental units of length and time. Meters per second (m/s) is the unit of speed in the metric system.
Therefore, 25 size in millimeters of the smallest insect that the bat can detect.
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When not part of a circuit, what happens in a battery’s negative terminal? A The negative charge is attracted to the opposite charge in the positive terminal but cannot get there. B The negative charge travels directly across the battery to the opposite charge where it remains. C The negative terminal has no electrical charge. D The negative terminal has a positive charge.
Question:
When not part of a circuit, what happens in a battery’s negative terminal?
Answer
A. The negative charge is attracted to the opposite charge in the positive terminal but cannot get there.
The correct statement is "The negative charge is attracted to the opposite charge in the positive terminal but cannot get there."The correct option is A.
What is electric potential?Electric potential is a fundamental concept in the study of electricity and magnetism that refers to the electric potential energy per unit charge at a given point in space. It is often represented by the symbol "V" and is measured in volts (V).
At its core, electric potential is a measure of the amount of work that would be required to move a unit positive charge from a reference point to a given point in space against an electric field. The reference point is often chosen to be at infinity, where the electric potential is defined to be zero.
Electric potential is influenced by the presence of charges and electric fields in the surrounding space. For example, if a positive charge is placed in the vicinity of a negatively charged object, the positive charge will experience a force that will cause it to move towards the negatively charged object. The electric potential at the point where the positive charge is located will be lower than the potential at a point farther away, because less work will be required to move the positive charge closer to the negatively charged object.
Mathematically, electric potential can be calculated using the equation:
V = W/q
where V is the electric potential, W is the work done in moving a unit charge from a reference point to the given point, and q is the magnitude of the charge.
Here in the Question,
When a battery is not part of a circuit, there is no flow of current. The chemical reactions inside the battery create a difference in electric potential between the positive and negative terminals of the battery, but this potential difference is not balanced until a complete circuit is formed.
In the absence of a circuit, the negative terminal of the battery has an excess of electrons, which are negatively charged particles. These electrons are attracted to the positive terminal of the battery, which has a deficiency of electrons and is positively charged. However, without a complete circuit, the electrons cannot flow from the negative terminal to the positive terminal.
Option B is incorrect because the electrons do not travel directly across the battery in the absence of a circuit.
Option C is incorrect because the negative terminal does have an electrical charge, as it has an excess of electrons.
Option D is also incorrect because the negative terminal is negatively charged, not positively charged.
Therefore, the negative charge is attracted to the opposite charge in the positive terminal but cannot get there, which is option A.
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Which of the following place high stress on your intestines?
Intestinal stress from protein is high. the optimal response is (C). According to the vast majority of studies, consuming more protein than 2 grams per kilogram of body mass per day can have adverse medical consequences over term.
Intestinal pain and indigestion are signs of eating too much protein. A high-protein diet can also assist with diarrhea and constipation, which is why a fish filet or a roast chicken is preferable to a spaghetti meal.
What effects does protein have on your gut?
Increased risk of illness is caused by infections and bacteria that ferment proteins when excessive and undigested consumption of protein is present. By controlling the gene transcription in pertinent signal transduction pathways as well as the production of chemicals, such changes inside the microbiota can have an effect on the immune system as well as the gut barrier.
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0.025 kg of water is fired from a water pistol with a speed of 230 m/s.
If the water pistol has a mass of 0.9 kg, what is the recoil speed of the
water pistol?
Show Your Work
The recoil speed of the water pistol, given that the mass of the water pistol is 0.9 Kg is -6.39 m/s
How do i determine the recoil speed of the water pistol?The following data were obtained from the question:
Mass of water (m₁) = 0.025 KgSpeed of water (v₁) = 230 m/sMass of water pistol (m₂) = 0.9 KgRecoil speed of water pistol (v₂) = ?The recoil speed of the water pistol can be obtained as illustrated below:
m₁v₁ = -m₂v₂
(0.025 × 230) = -(0.9 × v₂)
5.75 = -0.9v₂
Divide both sides by -0.9
v₂ = 5.75 / -0.9
v₂ = -6.39 m/s
Thus, we can conclude that the recoil speed is -6.39 m/s
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Mallory pushes her water bottle of 1. 70 kg to the side. She applies a force of 108. 20 N to the right. If the bottle accelerates at 8. 79 m/s2, what is the coefficient of friction?
Mallory pushes her water bottle of 1. 70 kg to the side. She applies a force of 108. 20 N to the right. If the bottle accelerates at 8. 79 m/s2, the coefficient of friction is 5.5 .
What is coefficient of friction?The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, it is represented by the Greek letter mu (μ). In terms of math, is equal to [tex]\frac{F}{N}[/tex], where F stands for frictional force and N for normal force. The coefficient of friction has no dimensions because both F and N are measured in units of force (such as newtons ). For both static and kinetic friction, the coefficient of friction has a range of values. When an object experiences static friction, the frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. The frictional force opposes an object's motion in kinetic friction.
According to the equation,
F - f = ma
where,
F is force applied,
f is friction between surfaces,
m is the mass of the water bottle and,
a is the acceleration.
Substituting the values and solving for f,
f = F - ma
f = 108.20 - 14.9
f = 93.3 N
f = μN
where,
μ is the coefficient of friction and,
N is the normal reaction.
substituting the values and solving for μ,
coefficient of friction = 5.5
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do all questions 4, 5, and 6 please and thankyou
1. No, a portion of the innermost wave front shown in Figure 6 cannot be approximated by a plane wave because the wave front is curved, meaning that the wave does not travel in a straight line.
What is wave?A wave is a disturbance that propagates through a medium, such as air, water, or a solid material. Waves are caused by a source of energy, such as a vibrating tuning fork or a stone thrown into a pond. Waves can also be generated by seismic activity, such as earthquakes. Waves are characterized by their wavelength (the distance between two successive crests or troughs), frequency (the number of waves generated per unit of time), and amplitude (the maximum displacement of the medium from its equilibrium position).
2. In Figure 7, the source of the ripple waves is moving to the right.
3. If the source of the waves in Figure 7 is stationary, then the ripple tank must be moving to the left.
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Determine the tension developed in cable ab for equilibrium of the 440- lb crate. (figure 1) express your answer to two significant figures and include the appropriate units
The tension developed in cable AB for the equilibrium of the 440-lb crate is approximately 1606 lb (to two significant figures). The units are pounds (lb).
To determine the tension developed in cable AB for the equilibrium of the 440-lb crate, we need to use the principle of equilibrium, which states that the net force acting on an object is zero.
Vertical component:
W = 440 lb
Tsin30 = (T/2) lb (since sin30 = 1/2)
Horizontal component:
Tcos30 = (0.866T) lb (since cos30 = √3/2 ≈ 0.866)
Since the crate is in equilibrium, the net force in the vertical direction must be zero. Therefore,
Tsin30 = W
(T/2) = 440 lb
T = 2 × 440 lb / sin30
T ≈ 1606 lb
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When something moves, there is more than one __________________ involved
Answer:
Explanation:
force
9. A bullet of mass 8g is stationary in the barrel of a gun of mass 4kg. The trigger is pulled and a force of 2.8kN is exerted on the bullet for 1.7ms. Calculate or find: a) Velocity of the bullet as it leaves the barrel of the gun. b) Recoil velocity of the gun. c) Show by calculation which type of collision is taking place.
After the trigger is pulled, the momentum of the system is:
p = mv
where p is the momentum, m is the mass, and v is the velocity.
Before the bullet is fired:
p = 0
After the bullet is fired:
p = (0.008 kg)(v) + (4 kg)(-u)
where u is the recoil velocity of the gun.
Since there are no external forces acting on the system, the initial momentum is equal to the final momentum:
0 = (0.008 kg)(v) + (4 kg)(-u)
Solving for u, we get:
u = -(0.008 kg)(v)/(4 kg) = -0.002 v
Substituting this into the equation for the momentum, we get:
p = (0.008 kg)(v) + (4 kg)(0.002 v) = 0.016 v
The force applied to the bullet is given by:
F = ma
where F is the force, m is the mass, and a is the acceleration.
Rearranging this equation to solve for acceleration, we get:
a = F/m = (2.8 kN)/(0.008 kg) = 350,000 m/s^2
Using the kinematic equation:
v = u + at
where u is the initial velocity (which is zero), t is the time, and a is the acceleration, we can solve for the final velocity:
v = at = (350,000 m/s^2)(1.7 × 10^-3 s) = 595 m/s
Therefore, the velocity of the bullet as it leaves the barrel of the gun is 595 m/s.
b) The recoil velocity of the gun is given by:
u = -(0.008 kg)(v)/(4 kg) = -0.002 v = -1.19 m/s
c) In an elastic collision, kinetic energy is conserved, while in an inelastic collision, kinetic energy is not conserved.
The initial kinetic energy of the system is zero, since both the bullet and the gun are stationary. After the collision, the kinetic energy of the system is:
K = (1/2)mv^2 + (1/2)Mu^2
where K is the kinetic energy, m is the mass of the bullet, v is its velocity, M is the mass of the gun, and u is its recoil velocity.
Substituting the values we found earlier, we get:
K = (1/2)(0.008 kg)(595 m/s)^2 + (1/2)(4 kg)(1.19 m/s)^2 = 1340 J
The work done on the bullet is:
W = Fs = (2.8 kN)(2 × 10^-3 m) = 5.6 J
Since the work done on the bullet is less than the change in kinetic energy of the system, the collision is inelastic.
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Compute the ratio between the luminosity from part b to the mass from part a. How does that ratio compare with the sun's ratio of luminosity to mass?
L/M = 1000 L Sun/MSun Based on the spectral category and luminosity group of a star, a classification is made. Cepheids are an illustration of a variable star.
A)M≈1MSun
b)L≈1000LSun
c)1000
D) Wrong; every main-sequence star upon that HR diagram turns helium into hydrogen. T 10 7 years
SUPER HUGE AND RED GIANT:
The H-R diagram's upper right corner may be located there. It is incredibly cool but very bright.
THE SUN, FOR EXAMPLE, IS IN THE Major, AS ARE THE HEATEST AND LIGHTEST STARS IN The GALAXY.
Very hot and faint White Dwarfs with a radius that isn't significantly greater then Earth.
Stars on the lower left of both the H-R diagram have smaller radii and higher temperatures than low-luminosity main-sequence stars.
Main-sequence stars with a lengthy lifetime are much less brilliant, colder, smaller, and far less massive than main-sequence stars having short lifetimes.
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''Complete question"
What is the approximate mass of the most massive stars left on the main sequence of this star cluster?
a) M≈0.1M Sun
b) M≈1 M Sun
c) M≈10M Sun
d) M≈100M Sun
Part B
What is the luminosity of the most luminous stars in the cluster?
a) L≈ 1LSun
b) L≈ 10LSun
c) L≈ 100LSun
d) L≈ 1000LSun
Part C
Compute the ratio between the luminosity from part B to the mass from part A. How does that ratio compare with the Sun's ratio of luminosity to mass?
L / M = __ LSun /MSun
Part D
Estimate the maximum amount of time these very luminous stars can last as red giants from your answer to part C.
a) t≈ 10^5 years
b) t≈ 10^7 years
c) t≈ 10^9 years
d) t≈ 10^11 years
A bullet of mass 10g traveling at a speed of 100m/s embeds itself into a block of wood of mass 1900g. Suspended by a string.
A) Determine the velocity of the block and bullet immediately after the impact.
B) What is the height the pendulum rises to after impact?
HELP ASAP
Discuss how the government uses tax credits, direct payments, and deficiency payments to
subsidize renewable energy.
For eligible renewable energy technology and projects, a number of tax credits, grants, and loan programmes are offered by the federal government.
Why does the government promote the use of renewable energy sources?Fossil fuels are burned to produce energy, which produces a sizable amount of greenhouse gas emissions that contribute to global warming. Even when taking into account the entire life cycle of the technologies, the majority of renewable energy sources produce negligible to no emissions.
Why are subsidies for renewable energy good?Subsidies have helped reduce dependency on fossil fuels by expanding the use of renewable energy sources. This is crucial for lowering greenhouse gas emissions and preventing an increase in global temperatures.
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What is the wavelength of a sound wave that has a speed of 680 m/s and a frequency of 220 Hz? (With full explanation)
Answer:
3.0909 mExplanation:
Given,
Wave speed = 680 m/sfrequency = 220 HzWe need to find the wavelength of sound wave :
We know that ,
[tex]{ \underline{ \boxed{ \sf{F = \dfrac{v}{\lambda}}}}}[/tex]where,
F is frequency, v is wave speed,[tex]\sf\lambda[/tex] is wavelengthon substituting the values we get :
[tex]\dashrightarrow \sf \: 220 = \dfrac{680}{\lambda} \\ \\ \dashrightarrow \sf \: \lambda = \frac{680}{220} \\ \\ \dashrightarrow \sf \:\lambda = 3.0909 \: m\\ [/tex]
Hence,
Wavelength of sound is 3.0909 mWhich object would have the greatest kinetic energy? *
A car driving down a hill at a speed of 40 m/s A person walking on the street at 2 m/s A ball rolling across the field at 5m/s A leaf falling at 10 m/s
a 15000kg locomotive is moving at 12 m/s what is it’s kinetic energy
Answer:
1080000 J
Explanation:
Givens:
m = 15000 kg
v = 12 m/s
[tex]KE=\frac{1}{2} mv^2\\KE=\frac{1}{2} (15000)(12)^2\\KE=1080000 J[/tex]
A wheel rolls a distance of 24 meters and rotates through an angle of 12 radians. What is the radius of the wheel?
A circular wheel has a radius of 24 cm, a diameter of 48 cm, and a circumference of 3.14159 cm, or 150.8 cm, rounded to the nearest centimeter.
What exactly are circumference and diameter?Definition. The circumference of a circle is the length measured around its edge. The diameter of a circle is the distance from the center to the outside. The radius of a circle is the distance between any two points on its edge.
Does diameter include radius?A ring's diameter is equal to half of its diameter, or vice versa, meaning that the diameter of a circle is twice as long as the radius.
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an effort of 10n applied to a simple machine moves a load of 40n through a distance of 100mm,the efficiency at this load being 80%.calculate the velocity ratio
If an 80% efficiency machine lifts a load of 40n by applying a 10N effort then the velocity ratio (VR) will be 5.
What is the efficiency of a machine?The efficiency of a machine can be calculated by the ratio of mechanical advantage(MA) and the velocity ratio(VR).
Mathematically,
Efficiency= η= [tex]\frac{MA}{VR}[/tex]
where MA= mechanical advantage = load(W)/ Effort(P)
VR=velocity ratio=[tex]\frac{distance moved by effort }{distance moved by load}[/tex]
Here in the given question
Load(w)=40N
Effort(P)= 10N
MA=40/10=4
Efficiency(η)=80% =0.8
we Know η=MA/VR
VR=MA/η
VR=4/0.8=5
VR=5
Hence the velocity ratio of the machine is 5.
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Shawna's hockey coach is planning for the upcoming game against their biggest rival.she thinks her players aren't quite as fast as most of the individuals on the other team and she knows they aren't as experienced the coach stresses fundamentals and proper passing techniques.one basic offensive strategy her coach ask her players to use is to make sure they pass the puck on
Answers:
1 a spot slightly ahead of their teammate
2 the teammate covered by two defenders
3 their teammate's back skate
4 their teammate's front skate
Shawna's hockey coach is committed to helping her players succeed in their upcoming game against their biggest rival.
What is mass?Mass is a fundamental physical property of every object that exists in the universe. It is the measure of an object's inertia and resistance to acceleration. Mass is measured in kilograms or pounds, and is commonly used to measure the weight of an object. Mass is an intrinsic property of an object that does not depend on its location or the gravitational field in which it is situated. Mass is related to the amount of matter, or material, an object contains, and it is not affected by gravity. Mass is an invariant quantity, meaning it is unaffected by any external forces or conditions.
To this end, she emphasizes the importance of fundamental hockey skills and proper passing techniques. She encourages her players to make quick, accurate passes to teammates in order to create more scoring opportunities; the goal is to always have an open man. To achieve this, the coach instructs the players to pass the puck to a spot slightly ahead of their teammate, the teammate covered by two defenders, their teammate's back skate, or their teammate's front skate. By focusing on the basics and utilizing these strategies, the coach hopes to give her team the best chance of coming out on top.
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Which of the following relation is correct?
(a) 2 3 l l 1 2 = = l3
(b) 3 2 l l 1 2 = = l3
(c) lll 1 1 = = 2 3 3
(d) l l 1 2 = = 4 3l3
A group of students investigated the relationship between the period of oscillation for a pendulum and the amplitude of the oscillation. Using a lightweight string that was 70.0 cm long and a mass of 1 kg, this group collected and calculated the data shown in the table below.
Amplitude (degrees) Period (s)
10 1.66
10 1.70
10 1.71
10 1.68
10 1.72
35 1.75
35 1.71
35 1.75
35 1.76
35 1.69
Using this information, answer the following questions.
What is the average period of the trials that were conducted with an amplitude of 10 degrees?Answer is units of seconds
What is the average period of the trials that were conducted with an amplitude of 35 degrees?Answer is units of seconds
What would you expect the period to be, based on the relationship given in equation L7.3 of the Experiment 7 handout? Answer is units of seconds
Using this information provided between the relationship between the period of oscillation for a pendulum and the amplitude of the oscillation, the solutions of the given problems are provided below.
What is a pendulum?A body hanging from a fixed point such that it may move back and forth while being pulled by gravity is called a pendulum.
The average period of the trials that were conducted with an amplitude of 10 degrees can be calculated by adding up the period values and dividing by the number of trials:
(1.66 + 1.70 + 1.71 + 1.68 + 1.72) / 5 = 1.69 s (rounded to two decimal places)
The average period of the trials that were conducted with an amplitude of 35 degrees can be calculated similarly:
(1.75 + 1.71 + 1.75 + 1.76 + 1.69) / 5 = 1.73 s (rounded to two decimal places)
Based on the data collected, the average period for an amplitude of 10 degrees is 1.69 s and the average period for an amplitude of 35 degrees is 1.73 s. This suggests that the period does increase with amplitude, consistent with the predicted relationship.
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