Question

A 35 kg boy is riding a 65 kg go-cart. He pushes on the gas pedal, causing the cart to accelerate at 5 m/s2. Use the equation F = m × a to find the force exerted by the go-cart’s engine.

Answer 1

500 N

Step-by-step explanation:

Your Welcome. (:

Answer 2

`\boxed {\boxed {\sf 500 \ Newtons }}`

Step-by-step explanation:

The equation for force is given:

`F=m*a`

First, we must find the total mass, which is the sum of the boy's mass and the go-cart's mass.

• total mass= boy's mass + go cart's mass

The boy's mass is 35 kilograms and the go cart's is 65 kilograms.

• total mass= 35 kg+ 65 kg=100 kg

Now we know the total mass and the acceleration.

`m= 100 \ kg \\a= 5 \ m/s^2`

Substitute the values into the formula.

`F=100 \ kg * 5 \ m/s^2`

Multiply.

`F= 500 \ kg*m/s^2`

• 1 kilograms meter per square second is equal to 1 Newton.
• Our answer of 500 kg*m/s² is equal to 500 Newtons.

`F= 500 \ N`

The force exerted by the go cart engine is 500 Newtons.