Question

1. A dart is loaded into a spring-loaded toy dart gun by pushing the spring in by a
    distance d. For the next loading, the spring is compressed a distance d/3. How much
    work is required to load the second dart compared to that required to load the first?

nine times as much

three times as much

the same

one-third as much

one-ninth as much

2. When a hand collides with the approaching ball, which experiences an impact
    force with a larger magnitude?

A. The hand does

B. The ball does

C. The same force is experienced by both

D. Cannot be determined without knowing how long the impact lasted because F = Δp/Δt

3. If A is a conservative force and B is a non-conservative force, then the work done by moving an object between the points P and Q

A. is the same for forces A and B

B. is larger for force A than for force B

C. is smaller for force A than for force B

D. for A depends only on P and Q; for B depends on the path taken from P to Q

E. not enough data

4. A competitive diver leaves the diving board and falls toward the water with her body
    straight and rotating slowly. She pulls her arms and legs into a tight tuck position.
    What happens to her angular speed?

A. It increases.

It decreases.

It stays the same.

It is impossible to determine.

5. A sled moves on essentially frictionless ice. It is attached by a rope to a vertical post
    set in the ice. Once given a push, the sled moves around the post at constant speed in a
    circle of radius R. If the rope breaks,

    A. the sled will keep moving in a circle.

    B. the sled will move on a curved path, but not a circle.

    C. the sled will follow a curved path for a while, then move in a straight line.

    D. none of the above.

Answer 1

1)

Because the work done in compressing a spring is proportional to the square of the compression distance x,

W1 = 1/2 k d^2

W2 = 1/2 k ( d/3)^2

= W1/9

so answer is one-ninth as much

4)

The diver is an isolated system, so the product Iω remains constant. Because her moment of inertia decreases, her angular speed increases.

(5)

The sled will move in a straight line so option D is correct answer

(2)

option (B) is correct answer

As per guidelines I worked four questions