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A car that weighs 40,000 N is driving down a hill at a constant velocity. If the car’s momentum is 80,000 kg∙m/s, how fast is the car moving?

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Lanuel

The velocity of the car is equal to 20 m/s.

Given the following data:

  • Weight of car = 40,000 Newton.
  • Car’s momentum = 80,000 kg∙m/s.

Scientific data:

  • Acceleration due to gravity = 10 [tex]m/s^2[/tex].

To determine the velocity of the car:

How to determine the car's velocity.

First of all, we would calculate the mass of the car by using this formula:

[tex]Weight = mg\\\\40000=m \times 10\\\\m=\frac{40000}{10}[/tex]

Mass, m = 4,000 kg.

For the velocity:

Mathematically, momentum is giving by this formula;

[tex]Momentum = mass \times velocity[/tex]

Making velocity the subject of formula, we have:

[tex]Velocity = \frac{Momentum}{Mass}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Velocity = \frac{80000}{4000}[/tex]

Velocity = 20 m/s.

Read more on momentum here: brainly.com/question/15517471

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