A child of mass 34 kg sits on a wooden horse on a carousel. The wooden horse is 3.4 m from the center of the carousel, which rotates at a constant rate and completes one revolution every 7.3 seconds.

(1) What are the magnitude and direction of (d|p|/dt)*p the parallel component of dp/dt for the child?

Then is it:

a. tangential, in direction of velocity

b. tangential, opposite direction of velocity

c. radial, outward

d. radial, inward

e. magnitude is zero, so direction is undefined

(2) What are the magnitude and direction of |p|*(dp/dt) the perpendicular component of dp/dt for the child?

Then is it:

a. tangential, in direction of velocity

b. tangential, opposite direction of velocity

c. radial, outward

d. radial, inward

e. magnitude is zero, so direction is undefined

(3) What are the magnitude and direction of the net force acting on the child?

Then is it:

a. tangential, in direction of velocity

b. tangential, opposite direction of velocity

c. radial, outward

d. radial, inward

e. magnitude is zero, so direction is undefined

(4) What objects in the surroundings contribute to this horizontal net force acting on the child? (There are also vertical forces, but these cancel each other if the horse doesn't move up and down. Select all that apply.)

a. The wooden horse

b. The centrifugal force

c. The child