Answer:
Explanation:
The cars velocity is 14m/s. That means for every second, the car moves 14m. Now, if the car wants to reach 28m, going 14m/s, it will take 2 seconds for the car to reach 28m.
satellite a has mass m. satellites a and b have circular orbits around a planet with distances of r and 2r, respectively. the gravitational force between the planet and satellite a is f. the mass of satellite b is 3m. in terms of f, what is the gravitational force between the planet and satellite b?
The gravitational force between the planet and satellite b is 3/4 f. The result is obtained by using the concept of Newton's law of universal gravitation.
What is the Newton's law of universal gravitation?The Newton's law of universal gravitation states that every object with the mass in the universe attracts to each other. The pulling force is called gravitational force. The gravitational force can be expressed as
F = Gm₁m₂/r²
Where
F = gravitational force (N)G = gravitational constant (6.6743 × 10⁻¹¹ m³kg⁻¹s⁻²)m₁ and m₂ = mass of objects (kg)r = distance of mass of objects (m)We have two satellites a and b.
Mass of satellite a = mMass of satellite b = 3 mDistance between the planet and satellite a = rDistance between the planet and satellite b = 2rGravitational force between the planet and satellite a = fFind the gravitational force between the planet and satellite b!
Let's say the mass of the planet is M.
We use the formula above to solve the problem.
Fa/Fb = (GM ma/ra²)/(GM mb/rb²)
f/Fb = (m/r²)/(3m/(2r)²)
f/Fb = (m/r²)/(3m/4r²)
f/Fb = 4mr²/3mr²
f/Fb = 4/3
Fb = 3/4 f
Hence, the planet and satellite b has the gravitational force of 3/4 f.
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an automobile battery is charged with a constant current of 2 a for 5 hours. the terminal voltage of the battery is v = 11 0.5t for t>0, where t is in hours. find the energy delivered to the battery
The energy delivered to the battery is 55.0 Wh (Watt-hours).
The energy delivered to the battery is equal to the product of the charging current, the time the battery is charged, and the terminal voltage. We can calculate the energy delivered to the battery by integrating the power (current multiplied by voltage) over time.
The current is constant and equal to 2 A, and the voltage is a function of time given by v = 11 - 0.5t for t > 0, where t is in hours. To calculate the energy delivered to the battery, we need to find the integral of the power over the 5 hour charging period:
Energy = ∫ (current * voltage) dt
= ∫ (2 A * (11 - 0.5t)) dt
= 2 A * ∫ (11 - 0.5t) dt
= 2 A * (11t - 0.25t^2)
= 2 A * (11 * 5 - 0.25 * 5^2)
= 2 A * (55 - 12.5)
= 2 A * 42.5
= 85 Wh
So the energy delivered to the battery is 85 Wh, or 85 Watt-hours.
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an electron is positioned 0.5 m above the center of a square plane. the plane has a length of 1.0 m on all 4 sides. determine the magnitude of the flux through the plane.
The magnitude of the flux through the plane is 56.96Nm^2/C when an electron is positioned 0.5 m above the center of a square plane. the plane has a length of 1.0 m on all 4 sides.
Given the length of square (L) = 1m
Area of square = A = L^2 = 1m^2
The distance from electron to center of square plane = d = 0.5m
The electron is positioned above the center of a square plane.
The square's plane and the y-z plane are perpendicular. As a result, the angle between the magnetic field and the unit vector normal to the plane is = 0o. The relation, which provides the flux (ϕ) through the plane, is:
ϕ = ∣E∣Acosθ
The charge of electron = qe = 1.6 x 10^-19C
We know that E = kQ/r^2 such that k = 8.99 × 10^9 N⋅m^2/C^2
E = 8.99 × 10^9 x 1.6 x 10^-19 / 0.5 x 0.5
E = 56.96 x 10^-10
Then, ϕ = 56.96 x 10^-10 x 1 x cos 0
ϕ = 56.96Nm^2/C
Hence, the magnitude of the flux through the plane is 56.96Nm^2/C
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(a) Compute the Maclaurin polynomial M_2(x) for f(x) = cos x. (b) Use the polynomial of part (a) to estimate cos pi/12. (c) Use a calculator to compute the error made using the estimate from part (b) for the value of cos pi/12. Remember that the error is defined to be the absolute value of the difference between the true value and the estimate.
(a) For the function f(x) = cos x, the Maclaurin polynomial M 2(x) of order 2 is given by:
M 2(x) = 1 - x 2/2! + x 4/4! -... = 1 - x 2/2! + x 4/24!
Defining a Maclaurin polynomial, we can say that it is a polynomial that approximates a function f(x) approximately the point x = 0. It is a polynomial of degree n that agrees with f(x) and its first n derivatives at x = 0. The Maclaurin polynomial of order n for f(x) is a polynomial of degree n. When f(x) is expanded as a power series around x = 0, one can find the Maclaurin polynomial by truncating the series after the nth term.
(b) We may calculate cos pi/12 by substituting pi/12 for x in the Maclaurin polynomial M 2(x) as follows:
Pi (12) M 2(pi/12) = 1 - (pi/12)2/2 + (pi/12)4/24 = 0.974927912
(c) To determine the mistake resulting from the estimation of the value of cos pi/12 from part (b), we deduct the estimation from the actual value of cos pi/12 and then calculate the absolute value:
error is equal to |cos pi/12 - M 2(pi/12)|, which is equal to [0.965925826 - 0.974927912] = [0.009002086].
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How can the atomic orbital be described in the quantum mechanical wave model of the orbitals?
A. A collection of balloons
B. A circular ring
C. A probability density
The atomic orbital can be described as a probability density in the quantum mechanical wave model of the orbitals.
In the quantum mechanical theory, orbitals and energy levels are used to describe electrons. Schrodinger's wave equation serves as its foundation. This intricate model takes the electron's wave-particle duality into account.
According to quantum physics, an atom's orbital is the area with the best possibilities of harbouring an electron. This has a mathematical definition.
Probability density is explored in relation to these orbitals' forms. The square of the wave function serves to define it.
This model deals with the quantum numbers, which can be used to locate the electrons in various energy levels.
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The time needed for one-half of a given amount of radioactive substance to decay.
Radioactive atoms breakdown from a less stable atom into a more stable atom. Scientists compare the amount of radioactive atoms remaining in a sample with the number of atoms of the new stable element it breaks down into.
For example: the half-life of carbon-14 is 5,730 years. If an initial sample contained 12 grams of C-14, after 5,730 years, how much would be left? (6 grams).
What about after 11,460 years? (3 grams). After 17,190 years? (1.5 grams)
Eventually, the amount becomes too small to measure. Other radioactive isotopes are good for dating things of different ages—really old, to really new.
After 11,460 years, half of the remaining 6 grams will have decayed, leaving 3 grams, and after 17,190 years, half of the remaining 3 grams will have decayed, leaving 1.5 grams. Over time, the number of radioactive atoms in a sample will decrease as they decay into more stable elements.
What is meant by half life of a substance?The half-life of a radioactive substance is the amount of time it takes for half of the initial amount of radioactive atoms to decay. Over time, the amount of radioactive atoms in a sample will decrease.
Why is radioactive dating useful?Radioactive dating is a useful tool for scientists to determine the age of rocks, fossils, and other materials by measuring the amount of radioactive isotopes and their decay products in the sample. This helps them to learn more about the history of the earth.
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in parallel rlc circuits, the ? is the same and is ? phase across all branches and is used as the main reference for calculations.
In parallel RLC circuits, the voltage is the same and is in-phase across all branches and is used as the main reference for calculations.
In a parallel RLC circuit, the current is determined by the resistance, inductance, and capacitance. The maximum current and the maximum voltage occur simultaneously because the voltage and current through the resistor are in phase. This is so that there is no phase shift between the voltage and the current caused by the resistance.
On the other hand, the voltage is 90 degrees behind the current passing through the capacitor, and the voltage is 90 degrees ahead of the current going through the inductor. As a result, the resistive current and voltage are in phase, which means that when the voltage is at its highest, the resistive current likewise reaches its peak and vice versa.
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a boy on a sled is sliding with knowledgeable friction along the icy horizontal surface. as the slug passes underneath the tree, a large mass of snow falls vertically and lands on the moving sled. the speed of the sled will.
Mass of the snow falls vertically and lands on the moving slide the speed of the slide will decrease due to friction.
It is mentioned that the friction along the icy horizontal surface and the sled is knowledgeable then it means that we cannot ignore the friction. So, when the mass of snow falls vertically from the tree on the sled when the sled passes underneath the tree it cannot be considered a elastic collision.
The kinetic energy of the system will be changed and the linear momentum will not remain constant because of the friction. It will be an inelastic collision and because the mass of the body is increasing, so, the speed of the slide will decrease when the mass of the snow will fall on the sled.
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what is the magnitude of the electric field at the origin produced by a semi-circular arc of charge
The magnitude of the electric field at the origin produced by a semi-circular arc of charge = 5.2 μC, twice the charge of the quarter-circle arc is 3.59785115 × 10⁶ T.
What is Charge ?
In the context of electricity, a "charge" refers to a basic unit of electrical energy that is stored in a body due to its electric potential. Electric charges can be either positive or negative and are associated with the properties of matter that allow it to participate in electrical interactions. When two objects with differing charges come into close proximity, an electric field is generated that can cause a flow of charge, which is known as an electric current.
B = 2kQ / πa²
B = ((2 x 9 x 10⁹ x 5.2 x 10⁻⁶) / (π x (9.1 x 10⁻²)²))
B = 3597851.15 T
B = 3.59785115 × 10⁶ T
Thus, The magnitude of the electric field at the origin produced by a semi-circular arc of charge is 3.59785115 × 10⁶ T.
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what is the error that originated from such effect as friction, spring, damping, and electrical capacitance of measurement systems?
Friction, mechanical flexure of internal components, and electrical capacitance all contribute to hysteresis.
Errors in hysteresis If a measurement is performed in the same way, mistakes due to hysteresis are reproducible and so called systematic errors.
A pressure sensor's hysteresis error is the greatest variation in output at any measurement value within the sensor's defined range while approaching the point with increasing and then decreasing pressure.
The inherent reluctance of a material to return to its previous condition after adding and removing a physical change, such as an increase and reduction in temperature or pressure, causes hysteresis.
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What is required to bring about a phase change?
Question 2 options:
an increase in energy only
a decrease in energy only
an increase or decrease in pressure
an increase or decrease in energy
An increase or decrease in energy is required to bring about a phase change. Hence, option (D) is correct.
What is phase change?Phase change in chemistry is the physical process of changing a medium's state from one to another. The phrase is frequently used to describe transitions between the three fundamental states of matter—solid, liquid, and gas—and, in rare instances, plasma.
The physical characteristics of a phase of a thermodynamic system and the states of matter are constant. Certain properties of a given medium change during a phase transition as a result of a change in the environment, such as temperature or pressure.
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39. The table shows four different materials and their resistivity. (i) Which material is the best conductor of electricity? i
Answer:
Silver is the best conductor of electricity, as the metal has more free electrons to transfer electric energy.
Higher the number of free electrons more efficient the metal to conduct electricity.
Explanation:
Answer:
Explanation: THE MATERIAL WITH LEAST RESISTANCE WILL BE THE BEST CONDUCTOR OF ELECTRICITY.WE KNOW THAT
R=ROH(l)/A
=l/A is constant
hence lower the value of resistivity best will be the conductor
hence P WILL BE THE BEST CONDUCTOR.
"Whirling plastic cap with a string that wrap around your finger" what happen to the orbit of the clothespin or any plastic bottle cap when the string wrap around the finger?
The string wraps around your finger, the radius of the orbit of the cap decreases, causing an increase in velocity and centripetal force, until the cap is held in place by the centripetal force.
When you whirl a plastic cap attached to a string around your finger, the orbit of the cap changes as the string wraps around your finger. This is due to a reduction in the radius of the orbit. As the string wraps around your finger, the radius of the orbit decreases, causing the velocity of the cap to increase. This increase in velocity results in an increase in centripetal force, which acts towards the center of the orbit. The increased centripetal force pulls the cap closer to your finger, causing the radius of the orbit to decrease further and the velocity to increase even more. This process continues until the string is fully wrapped around your finger and the cap is held in place by the centripetal force. At this point, the radius of the orbit has become zero and the velocity of the cap has reached its maximum.
In summary, as the string wraps around your finger, the radius of the orbit of the cap decreases, causing an increase in velocity and centripetal force, until the cap is held in place by the centripetal force.
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A ballet dancer whose weight is 60 kg performs a move on one foot during which she
applies a pressure of 1,500,000 Pa on the ground. Is she likely to be standing with her foot
flat on the ground, or is she on tiptoe?
She is likely to have tip toed as the pressure applied is high.
What is pressure?Pressure is a force per unit area, typically measured in units of Pascal (Pa), atmospheres (atm), or pounds per square inch (psi). It is the result of the force exerted by a gas or liquid against a surface.
We have to note that the pressure that has a value of about 1,500,000 Pa is quite a large pressure and we can only have such a pressure when we have a small surface area upon which the pressure have been applied.
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The intensity of the Sun's radiation at the position of the Earth is approximately
1400 W m-2.
Suggest why the average power received per unit area of the Earth is 350 W m-2.
The intensity of the Sun's radiation at the position of the Earth is approximately 1400 W m-2, which is the total amount of energy that reaches the Earth's surface from the Sun. However, the average power received per unit area of the Earth is only 350 W m-2. This is because the Sun's radiation is not evenly distributed over the Earth's surface.
Some parts of the Earth receive more of the Sun's radiation and some parts receive less. Factors like the Earth's tilt, the atmosphere and clouds, and the Earth's rotation all play a role in determining the amount of solar radiation reaching different areas on the planet. Additionally, the intensity of the Sun's radiation at the position of the Earth is reduced as it passes through the atmosphere, further reducing the amount of energy available for the Earth's surface. Thus, the average power received per unit area of the Earth is only 350 W m-2, significantly lower than the 1400 W m-2 of the Sun's radiation at the position of the Earth.
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calculate the height (in m) of a cliff if it takes 2.50 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.13 m/s.
The height of the cliff is approximately 20.32 meters.
The formula used to calculate the height of the cliff is derived from the motion equation of a freely falling object. According to this equation, the vertical position of an object can be described as a function of time, given its initial velocity and acceleration due to gravity.
The equation takes into account that an object falls under the influence of gravity, and therefore its velocity increases over time.
The height of a cliff can be calculated using the formula:
h = v0 × t + 0.5 × g × t^2,
Where t is the time it takes for the rock to contact the ground (2.50 s), g is the acceleration caused by gravity (9.8 m/s2), h is the height of the cliff, v0 is the initial velocity (8.13 m/s), and t is the initial velocity (8.13 m/s).
Plugging in the values, we get:
h = 8.13 × 2.50 + 0.5 × 9.8 × 2.50^2
h = 20.32 m
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A 3 kg ball is moving at 2.0 m/s to the right. It runs into a 1 kg ball moving at 0.5 m/s to the left. The balls bounce off each other. If the 3 kg ball moves at 1 m/s to the left after the collision, how fast must the 1 kg ball be going after the collision?
Answer:
6 tiuyeiydtidsrjs
Explanation:
Jfxjtzkgsjtsitdtditd I don't know
an 18 cm aluminum rod with an electrical resistivity of 18 ohm-cm and a 3 cm^2 cross-sectional area is cut into thirds (6 cm pieces). what is the electrical resistivity of each piece?
An 18 cm aluminum rod with an electrical resistivity of 18 ohm-cm and a 3 cm² cross-sectional area is cut into thirds (6 cm pieces). 18 ohm-cm is the electrical resistivity of each piece.
Electrical resistivity: It is the measure of the resistance offered by the material to allow the current to pass through it.
The resistivity only depends on the temperature of the material and it does not depend on the length, cross-sectional area, or density of the material.
[tex]R_{0} = \frac{\rho l}{A}[/tex]
[tex]= \frac{18\ cm \times 6\ cm}{18\ \text{ohm-cm}}[/tex]
= 6 /ohm-cm
Electrical resistivity = R₀ × Cross sectional area
= 6 ohm-cm⁻¹ × 3 cm²
= 18 ohm-cm
Hence if an 18 cm aluminum rod with an electrical resistivity of 18 ohm-cm and a 3 cm² cross-sectional area is cut into three pieces of 6 cm each the resistivity still remains 18 ohm-cm as it only depends on temperature.
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Complete Question:
An 18 cm aluminum rod with an electrical resistivity of 18 ohm-cm and a 3 cm² cross-sectional area is cut into thirds (6 cm pieces). What is the electrical resistivity of each piece?
(A) 54 ohm-cm
(B) 18 ohm-cm
(C) 3 ohm-cm
(D) 6 ohm-cm
(E) 36 ohm-cm
if you have a choice of using other type of agents, which one would you choose and how would it prevent vacuum from moving after all squares are cleaned? [3]
I would choose a vacuum agents with sensors to detect when all squares are cleaned would prevent further movement and maintain a clean state.
Vacuum agents with sensors can be used to detect when all squares of a given area have been cleaned. This would prevent the agent from continuing to move, thus maintaining the clean state. The sensors would detect when the area is clean and the agent would stop moving, ensuring that the area remains clean.
This technology could be extremely useful in keeping homes and businesses clean and tidy. Additionally, this technology could be used to automate cleaning tasks, saving time and effort.
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what mass of vitamin e contains 0.500 g given that vitamin e is 80.8 carbon by mass
The mass of vitamin E that contains 0.500 g given that vitamin e is 80.8 carbon by mass is approximately 12.5 g.
To find the mass of vitamin E that contains 0.500 g, we need to determine the molecular weight of vitamin E.
Since vitamin E is 80.8% carbon by mass, it can be assumed that the molecular weight of vitamin E is largely composed of carbon, with a molecular weight of approximately 12.01 g/mol.
Next, we need to calculate the number of moles of vitamin E contained in 0.500 g:
moles = mass / molar mass
moles = 0.500 g / (12.01 g/mol)
moles = 0.0417 mol
Finally, we can use Avogadro's number to find the number of molecules of vitamin E contained in 0.500 g:
molecules = moles x Avogadro's number
Since the molecular weight of vitamin E is largely composed of carbon, we can estimate the molecular weight of vitamin E to be approximately 300 g/mol.
Therefore, the mass of vitamin E that contains 0.500 g is:
mass = moles x molar mass
mass = 0.0417 mol x (300 g/mol)
mass = 12.5 g
The mass of vitamin E that contains 0.500 g is approximately 12.5 g.
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Calculate the gel/space ratio and theoretical strength of a sample of concrete made with 500 gram of cement with 0.5 water/cement ratio, on fully hydration and at 60 percent hydration?
In the case of fully hydrated concrete, the gel/space ratio would be 0.678 which can be calculated by using the formula.
The gel/space ratio of concrete refers to the ratio of the volume of the solid material (the gel) to the volume of the voids (the space) in the material.
Gel-space ratio = (0.657C)/(0.319C+Wo)
where C is the cement weight measured in grams
Wo is volume of water that is to be mixed
C = 600 gm is value given to us
W0 is product of Water-cement ratio and cement weight
= 0.65 * 600 = 390 ml
Therefore,
Gel-space ratio = (0.657 * 600)/(0.319*600+390) = 0.678
Therefore, gel/space ratio will be 0.678
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Answer:
Explanation:
To calculate the gel/space ratio and theoretical strength of a sample of concrete, we need additional information such as the density of the cement, the properties of the aggregate used, and the mix proportions of the concrete (including the amount of aggregate and water).
Without specific information, we cannot accurately calculate the gel/space ratio and theoretical strength. These parameters depend on various factors, including the type and quality of the cement, the aggregate grading, the water-cement ratio, and the curing conditions.
It is important to note that the gel/space ratio represents the ratio of the volume of cementitious gel (hydration product) to the total void space in the concrete mixture. The theoretical strength is influenced by the water-cement ratio, aggregate properties, curing conditions, and other factors.
To provide a meaningful calculation, please provide additional information about the specific mix design, including the properties of the aggregate and the density of the cement, as well as any other relevant details about the concrete mixture.
A stone is thrown upwards with an initial velocity of 25 m/s at an angle of 30^0 to the ground. c) Using the answer to a), show that the stone will rise to a
height of about 8 m.
The stone will rise to a height of about 8 m when it is thrown upwards with an velocity of 25 m/s at an angle of 30° to the ground.
What is projectile?When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's center . Such a particle's route is referred to as a projectile.
Acceleration due to gravity = 9.8 m/s²
Initial velocity of the projectile: u = 25 m/s
Angle of projection = 30°
Hence, maximum height obtained by the stone
= (25² × sin²30°)/(2× 9.8) meter
= 7.97 meter
= 8 meter (approx.)
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a 49.5-g super ball traveling at 30.0 m/s bounces off a brick wall and rebounds at 19.5 m/s. a high-speed camera records this event. if the ball is in contact with the wall for 3.25 ms, what is the magnitude of the average acceleration of the ball during this time interval?
The magnitude of the average acceleration is 5667 m/s^2.
We can calculate the magnitude of the average acceleration of the ball during the time interval it is in contact with the wall using the following equation:
a = (vf - vi) / t
where a is the average acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.
Given the information in the problem, we can substitute the values:
vi = 30.0 m/s
vf = -19.5 m/s (the negative sign indicates that the ball is moving in the opposite direction after bouncing off the wall)
t = 3.25 * 10^-3 s
So, the average acceleration is:
a = (vf - vi) / t = (-19.5 m/s - 30.0 m/s) / (3.25 * 10^-3 s)
= -5667 m/s^2
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a long uniform beam of length 4 m is supported by a cable at its center. a 100 kg steel worker stands on the beam at one end. where should a 200 kg bucket of concrete mix be suspended if the beam is to be in static equilibrium?
To determine the position where the 200 kg bucket of concrete mix should be suspended so that the beam is in static equilibrium, we need to consider the forces acting on the beam. In this case, the forces acting on the beam are the weight of the worker and the weight of the bucket of concrete mix.
The weight of the worker acts at the end of the beam, while the weight of the bucket of concrete mix acts at a point along the length of the beam. The force due to the weight of the bucket of concrete mix can be resolved into two components, one perpendicular to the beam and one parallel to the beam. The perpendicular component of force supports the beam, while the parallel component must be balanced by the tension in the cable. In static equilibrium, the sum of all forces must be zero, so the force due to the weight of the worker must be balanced by the tension in the cable. Therefore, the bucket of concrete mix should be suspended at the center of the beam, 2 m from either end.
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how far from the lens should an object be placed so that its (virtual) image is at the near-point distance of 25 cm ?
The near-point distance, or the closest distance that an object can be placed from the eye and still be seen clearly, is 25 cm.
To find the distance from the lens that an object should be placed to form a virtual image at the near-point distance, you can use the formula for the distance of a virtual image formed by a convex lens:
1/f = 1/d o + 1/d i
Where f is the focal length of the lens, d o is the object distance, and d i is the image distance.
Since the image is at the near-point distance, d i = 25 cm. The focal length of a convex lens is positive, so 1/f is positive.
Substituting the values into the formula, we have:
1/f = 1/d o + 1/25
Solving for d o , we get:
d o = 25f / (25 - f)
So, the distance from the lens that an object should be placed to form a virtual image at the near-point distance depends on the focal length of the lens.
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The following statements are about simple series circuits. Which of the statements IS true?
Series circuits are usually much more complicated to build than simple parallel circuits
Electrons can only flow along one path in a series circuit.
If one component of a series circuit fails, current completely stops flowing.
If one element of a series circuit fails, current ceases to flow completely is accurate.
What is circuit?A circuit is a closed conduct for electricity to travel through and is made up of parts like wires, resistors, capacitors, and transistors that regulate the flow of energy.
The components of a series circuit are connected in a line, the current passes through each one in turn. A broken circuit results from one component failing or being open, which stops the electricity from flowing at all. This is because a series circuit only has one path for the current to go, so if one component breaks down, the circuit as a whole is disturbed.
However, the first claim that series circuits are typically far more difficult to construct than straightforward parallel circuits is untrue. Series circuits just need components connected in a straight line, making them comparatively easy to build. It is also true that in a series circuit, electrons can only flow in one direction.
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find the rate at which a crane can do work if it lifts a 10 kg crate 63 m in 80.19 s using 418387.92 N of work? PLEASE HELP
what is the mass number of a beryllium atom?
Answer:
hii:))
Explanation:
the mass number of a beryllium atom is 9.012182 u
hope it will help u :)
consider three point charges, a, b, and c, arranged in an equilateral triangle, with distance d on each side. how would we find the total electric potential energy of this arrangement?
The total electric potential energy of three point arranged in an equilateral triangle is U = k/d [qAqB + qC (qA+qB)]
From the case, we know that:
qA
qB
qC
dAB = dBC = dCA = d
U?
Electric potential energy is a potential energy needed to move a charge against an electric field. Electric potential energy can be calculated using formula:
U12 = k x (q1 x q2)/r
Total electric potential energy is the total of all electric potential energy of each charges pair.
We will calculate each pair's electric potential energy first then find the total electric potential energy.
U AB = k (qA x qB)/d
U BC = k (qB x qC)/d
U CA = k (qC x qA)/d
U = U AB + U BC + U CA
U = k (qA x qB)/d + k (qB x qC)/d + k (qC x qA)/d
U = k/d (qAqB + qBqC + qCqA)
U = k/d [qAqB + qC (qA+qB)]
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3. an iron cannonball is launched with a speed of 70.0 m/s and an angle of 41 degrees above the horizontal, from the top of a 75.0 m high cliff onto a flat valley floor at the base of the cliff. (a) how long does it take the projectile to reach the valley floor?
To calculate it: Start from the equation for the vertical motion of the projectile: y = vᵧ × t - g × t² / 2, where vᵧ is the initial vertical speed equal to vᵧ = v₀ × sin(θ) = 5 × sin(40°) = 3.21 m/s
How long does it take the projectile to reach the valley floor?
Ttof=2(v0sinθ0)g. T tof = 2 ( v 0 sin θ 0 ) g . This is the time of flight for a projectile both launched and impacting on a flat horizontal surface.The time taken by the body to reach the maximum height is called the time of ascent. Let v0 = Velocity of projection and θ = Angle of projection. Resolving v0 into two components viz.
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