Question

A shopper in a supermarket pushes a loaded 31 kg cart with a horizontal force of 12 N. The acceleration of gravity is 9.81 m/s 2 . a) Disregarding friction, how far will the cart move in 4.2 s, starting from rest? Answer in units of m.

Answer 1

3.41334 m

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

m = Mass

Force

`F=ma\\\Rightarrow a=(F)/(m)\\\Rightarrow a=(12)/(31)\\\Rightarrow a=0.387\ m/s^2`

Acceleration of the cart is 0.387 m/s²

`s=ut+(1)/(2)at^2\\\Rightarrow s=0* 4.2+(1)/(2)* 0.387* 4.2^2\\\Rightarrow s=3.41334\ m`

The cart will move 3.41334 m in 4.2 seconds