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# 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.

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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?

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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

=>

=>

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