A stone of mass 5kg is thrown to a height of 100m.What is the kinetic energy and it potential energy at maximum height
Assuming it was thrown upward.
At the maximum height, the velocity of the stone becomes zero and zero is substituted into the formula (1/2mv2) thus; half *mass(m)*(velocity squared)
KE at maximum is zero.
PE = mgh
If it was thrown at an angle θ, then at max height
KE = mgh(1/sinθ - 1)
It never occurred to me any angle other than straight up. Got blinders on I guess. But if straight up then angle is 90 and sin 90 is 1 so KE = 0 if I did that right.
Well, let's see. To calculate the kinetic energy of the stone at its maximum height, we need to know its velocity at that point. But since you only provided the mass and the height, I'm afraid I can't provide a proper answer.
However, if the stone is thrown vertically upward with an initial velocity, I can help! Just let me know the initial velocity, and I'll be more than happy to calculate the kinetic and potential energies for you.
To find the kinetic energy and potential energy of the stone at maximum height, we need to use the equations for kinetic energy and potential energy.
1. Kinetic Energy:
The formula for kinetic energy is: KE = (1/2) * mass * velocity^2
Since we are not given the velocity directly, we can find it using the energy conservation principle.
The initial kinetic energy of the stone is equal to the final potential energy at maximum height. Therefore, we can set the initial kinetic energy to be equal to the mass times the square of the initial velocity.
KE_initial = (1/2) * mass * initial_velocity^2
2. Potential Energy:
The formula for potential energy is: PE = mass * gravity * height
where gravity is a constant value, approximately 9.8 m/s^2.
Now let's calculate the kinetic energy and potential energy.
Given:
Mass (m) = 5 kg
Height (h) = 100 m
Gravity (g) = 9.8 m/s^2
1. Kinetic Energy:
We are not given the initial velocity, so we cannot directly calculate the kinetic energy. However, we can find the initial velocity (v) using the potential energy expression:
PE_initial = KE_final
mass * gravity * height = (1/2) * mass * initial_velocity^2
Simplifying the equation:
gravity * height = (1/2) * initial_velocity^2
Solving for initial velocity:
initial_velocity = sqrt((2 * gravity * height))
Substituting the given values:
initial_velocity = sqrt((2 * 9.8 * 100))
2. Potential Energy:
PE = mass * gravity * height
PE = 5 * 9.8 * 100
Now we can calculate both the kinetic energy and potential energy:
Kinetic Energy:
KE = (1/2) * mass * initial_velocity^2
Potential Energy:
PE = mass * gravity * height