Draw a free body diagram of the car at the top of the hill

Question

1-A car of mass m drives at speed v over a hill with radius of curvature r.

(a) Draw a free body diagram of the car at the top of the hill.

(b) Find the normal force N on the car at the top of the hill.

2-A cart of mass m has initial velocity v₀ pointing to the right. A constant net force F also pointing right acts on the cart from time t₀= 0 to t_f.

(a) Graph the cart's momentum versus time from t₀= 0 to t_f.

(b) Find the cart's final velocity v_f at time t_f

3- When a 2 kg mass is placed on a spring scale in equilibrium, the springAc€?cs height is compressed to 8 cm. When a 3 kg mass is placed on the same spring scale, the spring's height is compressed to 7 cm.

(a) What is the height of the spring with no mass on it?

(b) Graph the spring force verses compressed height from 10 cm to 7 cm.