The cart. The coefficient of kinetic friction between the person and the cart is 0.480. Friction between the cart and ground can be ignored. (Let the positive direction be to the right.) (a) Find the final velocity of the person and cart relative to the ground. (Indicate the direction with the sign of your answer.) m/s (b) Find the frictional force acting on the person while he is sliding across the top surface of the cart. (Indicate the direction with the sign of your answer.) N (c) How long does the frictional force act on the person? s (d) Find the change in momentum of the person. (Indicate the direction with the sign of your answer.) N · s Find the change in momentum of the cart. (Indicate the direction with the sign of your answer.) N · s (e) Determine the displacement of the person relative to the ground while he is sliding on the cart. (Indicate the direction with the sign of your answer.) m (f) Determine the displacement of the cart relative to the ground while the person is sliding. (Indicate the direction with the sign of your answer.) m (g) Find the change in kinetic energy of the person. J (h) Find the change in kinetic energy of the cart. J (i) Explain why the answers to (g) and (h) differ. (What kind of collision is this one, and what accounts for the loss of mechanical energy?)

(a) Find the final velocity of the person and cart relative to the ground. = 1.367m/s

(b) Find the frictional force acting on the person while he is sliding across the top surface of the cart = 286.944N

(c) How long does the frictional force act on the person?  = 0.5809s

(d) Find the change in momentum of the person.  = 166.774N

(e) Determine the displacement of the person relative to the ground while he is sliding on the cart. = 1.5878m

(f) Determine the displacement of the cart relative to the ground while the person is sliding. = 0.3970m

(g) Find the change in kinetic energy of the person. = -455.71J

(h) Find the change in kinetic energy of the cart = 113.99j

(i) Explain why the answers to (g) and (h) differ.

the force  exerted on the cart by the person must be equal in magnitude and opposite in direction to the force exerted on the cart by the person. The changes in momentum  of the two cart must be equal in magnitude and must add up to zero.  The following represents two way thinking about "WAY". The distance the cart moves is different from the distance moved by the point of application of frictional force on the cart.

Explanation:

check attachment for explanation.

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.