A 5 kg object is moving downward at a speed of 12 m/s. It is currently 2.6 m above the ground.
What is its kinetic energy?
What is its potential energy?
Ke = (1/2) m v^2 = .5 * 5 * 144 = 360 Joules
Pe = m g h = 5 * 9.81 * 2.6 = 128 Joules
assuming Pe is 0 on ground and g = 9.81 m/s^2
To find the kinetic energy of the object, we can use the formula:
Kinetic Energy = (1/2) * mass * velocity^2
Given:
Mass (m) = 5 kg
Velocity (v) = 12 m/s
Substituting the values into the formula:
Kinetic Energy = (1/2) * 5 kg * (12 m/s)^2
= (1/2) * 5 kg * 144 m^2/s^2
= 360 J
Therefore, the kinetic energy of the object is 360 Joules.
To find the potential energy of the object, we can use the formula:
Potential Energy = mass * gravitational acceleration * height
Given:
Mass (m) = 5 kg
Height (h) = 2.6 m
Gravitational acceleration (g) = 9.8 m/s^2
Substituting the values into the formula:
Potential Energy = 5 kg * 9.8 m/s^2 * 2.6 m
= 127.4 J
Therefore, the potential energy of the object is 127.4 Joules.
To calculate the kinetic energy and potential energy of the object, we need to use the formulas associated with each type of energy.
1. Kinetic Energy (KE):
The formula to calculate the kinetic energy of an object is: KE = 1/2 * mass * velocity^2.
Given:
Mass (m) = 5 kg
Velocity (v) = 12 m/s
Substituting these values into the formula, we have:
KE = 1/2 * 5 kg * (12 m/s)^2
KE = 1/2 * 5 kg * 144 m^2/s^2
KE = 360 J
Therefore, the object's kinetic energy is 360 Joules.
2. Potential Energy (PE):
The formula to calculate the potential energy of an object near the Earth's surface is: PE = mass * gravitational acceleration * height.
Given:
Mass (m) = 5 kg
Height (h) = 2.6 m
Gravitational acceleration (g) near Earth's surface is approximately 9.8 m/s^2.
Substituting these values into the formula, we have:
PE = 5 kg * 9.8 m/s^2 * 2.6 m
PE = 127.4 J
Therefore, the object's potential energy is 127.4 Joules.