Question

A 35 g particle is moving to the left at 24 m/s . how much net work must be done on the particle to cause it to move to the right at 37 m/s ?

Answer 1

To cause the particle to move to the right at 37 m/s, the net work done on the particle must change its velocity from -24 m/s to 37 m/s. The net work done can be calculated using the work-energy principle and the formula for kinetic energy.

Step-by-step explanation:

To cause the particle to move to the right at 37 m/s, the net work done on the particle must change its velocity from -24 m/s to 37 m/s. The net work done can be calculated using the work-energy principle, which states that the net work done on an object is equal to the change in its kinetic energy. Kinetic energy is given by the formula KE = 0.5 * mass * velocity^2.

First, calculate the initial kinetic energy of the particle: KE_initial = 0.5 * 35 kg * (-24 m/s)^2. Then, calculate the final kinetic energy of the particle: KE_final = 0.5 * 35 kg * (37 m/s)^2. Subtract the initial kinetic energy from the final kinetic energy to find the net work done: Net work = KE_final - KE_initial.