Question

The 0.100 kg

sphere in (Figure 1) is released from rest at the position shown in the sketch, with its center 0.400 m
from the center of the 5.00 kg
mass. Assume that the only forces on the 0.100 kg
sphere are the gravitational forces exerted by the other two spheres and that the 5.00 kg
and 10.0 kg
spheres are held in place at their initial positions.

What is the speed of the 0.100 kg sphere when it has moved 0.150 m to the left from its initial position?

Answer 1

To find the speed of the 0.100 kg sphere when it has moved 0.150 m to the left from its initial position, we can use the principle of conservation of energy.

Step-by-step explanation:

To find the speed of the 0.100 kg sphere when it has moved 0.150 m to the left from its initial position, we can use the principle of conservation of energy. The initial potential energy of the sphere is converted into kinetic energy as it moves. The potential energy at the initial position can be calculated using the formula U = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. At the initial position, h = 0.400 m. The kinetic energy at the new position can be calculated using the formula K = 0.5 * m * v^2, where v is the velocity of the sphere. To find the velocity, we can set the initial potential energy equal to the kinetic energy at the new position and solve for v. Once we have the velocity, we can divide it by the time the sphere took to move 0.150 m to find the speed.