A cart on a horizontal, linear track has a fan attached to it. The cart is positioned at one end of the track, and the fan is turned on. Starting from rest, the cart takes 4.22 s to travel a distance of 1.44 m. The mass of the cart plus fan is 350 g. Assume that the cart travels with constant acceleration. Required:
a. What is the net force exerted on the cart-fan combination?
b. Mass is added to the cart until the total mass of the cart-fan combination is 656 g, and the experiment is repeated. How long does it take for the cart, starting from rest, to travel 1.63 m now?

a

b

Explanation:

From the question we are told that

     The distance travel in  4.22 s is  

     The mass of the cart plus the fan is  

Generally from kinematic equation we have that

Here  u is the initial  velocity with value  

So  

=>      

Generally the net force is  

=>        

=>        

Gnerally the new mass of the cart plus the fan is  

    The distance considered is

     Generally the new acceleration of the cart is mathematically represented as

=>      

=>      

=>      

Gnerally from kinematic equation we have

Here u  is the initial velocity and the value is zero because it started from rest  

=>      

=>