Question

You give a shopping cart a shove down the aisle. The cart is full of groceries and has a mass of 18 kg. The cart accelerates at a rate of 3 m/s2. How much force did you exert on the cart?

Answer 1

Newton's 2nd law:  Force = (mass) x (acceleration).

While the cart is accelerating at 3 m/s², you must be pushing it
with  (18 kg) x (3 m/s²) = 54 newtons of force.

As soon as you stop pushing, it stops accelerating.

Answer 2

The amount of force exerted on the cart to accelerate on the given rate is 54 Newtons.

Given the data in the question;

• Mass of cart; $m = 18kg$

• Acceleration; $a = 3m/s^2$

To determine the force exerted on the cart, we use the expression from Newton's second law:

$F = m * a$

Where m is mass and a is acceleration

We substitute our given values into the equation

$F = 18kg\ *\ 3m/s^2\\\\F = 54kg.m/s^2\\\\F = 54N$

Therefore, the amount of force exerted on the cart to accelerate on the given rate is 54 Newtons.

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