Question

The only force acting on a 1.6 kg body as it moves along the x-axis. If the velocity of the body at x = 20 m is 50 m/s, what is its kinetic energy at x = 5.0 m?

A) 12.5 J
B) 25 J
C) 62.5 J
D) 10 J

Answer 1

The kinetic energy of the body is 200 J at both x = 20 m and x = 5.0 m.

Step-by-step explanation:

The kinetic energy of an object can be calculated using the formula:

Kinetic Energy = 0.5 * mass * velocity^2

Given that the mass of the body is 1.6 kg and its velocity at x = 20 m is 50 m/s, we can calculate the kinetic energy at x = 20 m:

Kinetic Energy = 0.5 * 1.6 kg * (50 m/s)^2 = 200 J.

Since kinetic energy is a scalar quantity and does not depend on the position of the body, the kinetic energy at x = 5.0 m would also be 200 J.