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As defined in Chapter 7, the work done by a force on a object is equal to the fo

ID: 1571997 • Letter: A

Question

As defined in Chapter 7, the work done by a force on a object is equal to the force times the displacement times the cosine of the angle between the force and displacement vectors (W = F -d cos (theta)). Suppose you are supporting a 1.58 -kg block. What is the gravitational force (magnitude and direction) acting on the block? If you lower the block a distance of 0.283 m, what is the work done by the gravitational force as you lower the block? What is the value of the angle theta (in degrees - do not enter units) What is the change in the gravitational potential energy as you lower the block 0.283 m? (If the potential energy increases, the answer should be positive. If the potential energy decreases, the answer should be negative.) Let's switch gears and ask about the electrical force on a changed object. Suppose you have a region where the electric field has a magnitude of 45.3 N/C, the field points straight down, and the field is uniform (i.e, the magnitude and direction are the same everywhere in this region). You place an object which has a charge of +0.205 C in the field. What is the magnitude and direction of the electric force acting on the object? Suppose you lower the object a distance 0.283 m in the same direction the field is pointing. What is the work done by the electrical force as you lower the block? What is the change in electric potential energy as you lower the object .283 m? If the electric potential energy increases, the answer should be positive. If the electric potential energy decreases, the answer should be negative.

Explanation / Answer

Here ,

for the gravitational force acting on the mass

gravitational force acting on the mass = m * g

gravitational force acting on the mass = 1.58 * 9.81

gravitational force acting on the mass = 15.5 N

the direction of gravitational force acting on the mass is DOWN

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work done by the gravitational force = F * d

work done by the gravitational force = 15.5 * 0.283

work done by the gravitational force = 4.39 J

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here , the angle theta is 0 degree

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as the block is lowered

change in potential energy = - work done by the gravitational force

change in potential energy = - 4.39 J

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please post other parts in a seperate question