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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.

Sagot :

Sarah06109idn

Answer:

[tex]\boxed {\boxed {\sf 500 \ Newtons }}[/tex]

Explanation:

The equation for force is given:

[tex]F=m*a[/tex]

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.

[tex]m= 100 \ kg \\a= 5 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F=100 \ kg * 5 \ m/s^2[/tex]

Multiply.

[tex]F= 500 \ kg*m/s^2[/tex]

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

[tex]F= 500 \ N[/tex]

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

Bobthebuilder1111asidn

Answer:

500 N

Explanation:

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