A pendulum that consists of a 2kg mass swings a maximum vertical displacement of 10 cm above its rest position. At its lowest point, the KE of the mass is equal to


F. 0.196 J
G. 1.96 J
H. 19.6 J
J. 196 J
K. 1960 J

A 20 kg mass freely falls a distance of 6m near the Earth’s surface. The total kinetic energy gained by the mass as it falls is approximately


A. 120 J
B. 1180 J
C. 1440 J
D. 2400 J

To determine the kinetic energy (KE) of the pendulum at its lowest point, we need to know its maximum vertical displacement and its mass.

The formula for calculating the potential energy (PE) of a pendulum is given by PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height or displacement from the rest position.

At the lowest point of its swing, the maximum potential energy is converted into kinetic energy, given by KE = PE.

In this case, the mass of the pendulum is 2 kg, and the maximum vertical displacement is 10 cm, which is equal to 0.1 meters. The acceleration due to gravity, g, is approximately 9.8 m/s^2.

Using the formula PE = mgh, we can calculate the potential energy at the maximum displacement as follows:
PE = (2 kg) * (9.8 m/s^2) * (0.1 m)
PE = 1.96 J

Therefore, the kinetic energy at the lowest point of the pendulum is equal to 1.96 J.

So the correct answer is G. 1.96 J.

kol