a shopper in a supermarket pushes a loaded cart with a horizontal force of 15 N. if the cart has a mass of 30 kg, how far will it move in 3 seconds if it started from rest

Respuesta :

Answer:

The distance covered by the cart is 2.25 meters.

Explanation:

It is given that,

Mass of the cart, m = 30 kg

Horizontal force, F = 15 N

Let d is the distance covered by the cart in 3 seconds if it started from rest. If a is the acceleration of the cart. Using second law of motion as :

[tex]F=ma[/tex]

[tex]a=\dfrac{F}{m}[/tex]

[tex]a=\dfrac{15\ N}{30\ kg}[/tex]

[tex]a=0.5\ m/s^2[/tex]

The distance covered by the cart is given by :

[tex]d=ut+\dfrac{1}{2}at^2[/tex]

Here, u = 0

[tex]d=\dfrac{1}{2}\times 0.5\times (3)^2[/tex]

d = 2.25 meters

So, the distance covered by the cart is 2.25 meters. Hence, this is the required solution.

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