Refer to procedure 2. setup includes a cart on a level tied to a string. on the
ID: 2121448 • Letter: R
Question
Refer to procedure 2. setup includes a cart on a level tied to a string. on the other end of the string is a hanging mass and there is a pulley controlling the string) Assume the mass of the cart is m, and the mass hanging on the end of the string is M.
a) Suppose m = 1828 g and M = 733 g, and the cart accelerates at 0.136 m/s2. Find %u03BCk, the coefficient of kinetic friction between the cart and the track.
b)Suppose you attached two identical carts of mass m = 1828 g to one end of the string, and doubled the mass M = 733 g. Also, assume the coefficient of kinetic friction between each cart and the surface is the same as in part a. When this system accelerates, the acceleration will be
Explanation / Answer
a)let coefficient of kinetic friction be k and tension be T.
then for the hanging mass,
0.733*9.8-T=0.733*0.136
then T=7.083 N
for the cart,
T-k*1.828*9.8=1.828*0.136
solving for k,
k=0.381
b)we can combine the mass of the carts as one.
new mass=2m=2*1.828=3.656 kg
similarly
mass of hanging mass=2*0.733 =1.466 kg
let tension be T and acceleration be a.
then for the hanging mass,
1.466*9.8-T=1.466*a
for the carts,
T-0.381*9.8*3.656=3.656*a
solving both the equations,
T=14.16 N
a=0.1397 m/s^2