A pendulum with 1kg weight is set in motion from a position .04 m above the lowest point on the path of the weight. What is the kinetic energy of the pendulum at the lowest point?
KE = PE
KE = mgh = 1•9.8•0.04 = 0.392 J.
To find the kinetic energy of the pendulum at the lowest point, we need to consider conservation of mechanical energy.
The total mechanical energy of the pendulum is equal to the sum of its kinetic energy and potential energy. At the initial position, all of the energy is in the form of potential energy, and at the lowest point, all of the energy is in the form of kinetic energy.
Given:
Mass of the pendulum (m) = 1 kg
Height of the initial position (h) = 0.04 m
We can calculate the potential energy at the initial position using the formula:
Potential energy (PE) = m * g * h
where g is the acceleration due to gravity (g ≈ 9.8 m/s^2).
PE = 1 kg * 9.8 m/s^2 * 0.04 m
PE = 0.392 J
Since the energy is conserved, the kinetic energy at the lowest point is equal to the potential energy at the initial position.
Therefore, the kinetic energy of the pendulum at the lowest point is 0.392 J.
To calculate the kinetic energy of a pendulum at the lowest point, we can use the conservation of mechanical energy principle, which states that the sum of kinetic energy and potential energy is constant.
Given:
Mass of the pendulum (m) = 1 kg
Height above the lowest point (h) = 0.04 m
The potential energy at the starting position is given by the formula:
Potential Energy (PE) = m * g * h
where g is the acceleration due to gravity, which is approximately 9.8 m/s^2.
PE = 1 kg * 9.8 m/s^2 * 0.04 m
PE = 0.392 J
Since the pendulum is at the lowest point, all of the potential energy is converted into kinetic energy.
Therefore, the kinetic energy at the lowest point is equal to the potential energy at the starting position.
Kinetic Energy (KE) = PE = 0.392 J
So, the kinetic energy of the pendulum at the lowest point is 0.392 Joules.