Objects on Mars weigh about 38% what they do on Earth. While driving on Earth, a Mars rover moves at a speed of 30 mph. If the rover moves with the same speed on Mars, would it have more, less, or the same momentum as when on Earth

The momentum of the object on Mars will be the same as on Earth.

The given parameters;

Weight is a vector quantity because it changes when acceleration due to gravity on the object changes while mass is scalar quantity, with a constant value in all places in the universe.

The momentum of an object is calculated as;

P = mv (kgm/.s)

Since the speed and mass of the object will be the same on both planets, the momentum will also be the same.

Thus, the momentum of the object on Mars will be the same as on Earth.

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The same momentum as when on Earth

Explanation:

From a background understanding of science, the mass of an object is constant irrespective of its location.

This implies that the rover has the same mass on the earth as on the moon.

Now, we shall determine the momentum of the rover on Earth and on the Mar.

For Earth:

Let the mass on Earth (Mₑ) = 1 kg

Velocity on Earth (Vₑ) = 30 mph = 30 × 0.447 = 13.41 m/s

Momentum on Earth (Mₒₑ) =?

Momentum = mass × velocity

Mₒₑ = Mₑ × Vₑ

Mₒₑ = 1 × 13.41

Mₒₑ = 13.41 Kgm/s

Thus the momentum of the rover on Earth is 13.41 Kgm/s

For Mar:

Mass on Mar (Mₘ) = Mass on Earth (Mₑ), since mass is constant.

Mass on Mar (Mₘ) = 1 kg

Velocity on Mar (Vₘ) = Velocity on Earth (Vₑ), since the rover move with the same velocity as described by the question.

Velocity on Mar (Vₘ) = 13.41 m/s

Momentum on Mar (Mₒₘ) =?

Momentum = mass × velocity

Mₒₘ = Mₘ × Vₘ

Mₒₘ = 1 × 13.41

Mₒₘ = 13.41 Kgm/s

Therefore, the momentum of the rover on Mar is 13.41 Kgm/s

Summary:

Momentum on Earth (Mₒₑ) = 13.41 Kgm/s

Momentum on Mar (Mₒₘ) = 13.41 Kgm/s

Thus, the rover will have the same momentum as when on earth

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