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1. A horizontal force acting on a 2.0 kg object produces an acceleration of 8.0

ID: 1956205 • Letter: 1

Question

1. A horizontal force acting on a 2.0 kg object produces an acceleration of 8.0 m/s^2, find the magnitude of the net force acting on the object.
2. A horizontal force of 80.0 N acts on a 4.00 kg mass which is initially at rest. If the force acts for 3.00 sec.
find: a.) the magnitude of the acceleration produced
b.) the distance traveled by the object in 3.00 sec.
3.A 0.050 kg tennis ball approaches a racket at 25 m/s. If it is in contact with the racket's strings for 0.005 sec. then rebounds at 25 m/s, what is the average force the racket exerts on the ball?

Explanation / Answer

1.

F = ma = 2*8 = 16 N

 

2.

 

F=ma

 

Thus a = F/m = 80/4 = 20 m/sec^2

 

Apply Second equation of Motion

 

s = ut + 0.5*a*t^2

 

Here initial velocity,u  = 0 m/sec

 

Thus S = 0.5*at^2 = 0.5*20*3^2 = 90 m

 

3.

Impulse = Change in Momentum

 

F*t = m(v-u)

 

F*0.005 = 0.050*(25 - (-25))

 

Thus  F = 500 N