choose the most appropriate version of the impulse equation given the following scenario: what is the impulse generated when a 53 kg cart is pushed with a force of 30 n to make it go from rest to 4 m/s?

The mass of cart is 53 kg. The force applied on the cart to push is 30N. The initial speed of the cart is 0 m/s and the final speed of the cart is 4 m/s.

We know,

Force = mass × acceleration

So, putting values for the cart,

33 = 53 × acceleration

Acceleration = 0.62 m/s²

Now, using equation of motion,

V = u+at

V is final speed, u is initial speed, a is acceleration and t is the time of the cart.

Putting values,

4 = 0.62t

t = 6.45 seconds.

Now, as per impulse momentum theorem,

Impulse = force × time

Putting values for cart,

Impulse = 33×6.45

Impulse = 213 kgm/s

So, the impulse generated is 213 kgm/s.

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