Find the magnitude of the acceleration of the masses find

Question

In procedure 1: suppose the hanging mass is m_H = 285 g and the mass of the cart is m_c = 762 g.

a) Assume there is no friction anywhere in the system, and the system starts at rest.

I. Find the magnitude of the acceleration of the masses.

a = 2.76 x ______m/s²

II. Find the magnitude of the tension in the string.

T = 4.0 ______ x ______N

III. If the track has length L = 3.78 m, find V_f, the speed of the cart just before it hits the barrier.

v= _______m/s

IV. Find t_f, the time it takes the cart to travel the 3.78 m to hit the barrier.

T_f = ________s

b) Look at the drawing of the apparatus in the Basic Concepts section. You now tilt the track (lifting the end with the pulley) so it makes an angle θ with the horizontal until the cart and hanging mass are in equilibrium. Using the given masses: find θ.

θ =_______ ^o.