What happens to the momentum of an object if its mass is doubled while its velocity remains constant?

What happens to the momentum of an object if its mass is doubled while its velocity remains constant?

• A. Momentum increases by half
• B. Momentum remains the same
• C. Momentum is doubled
• D. Momentum is tripled

Answer: (C)

Momentum is defined as the product of an object's mass and its velocity, described by the equation \( p = mv \), where \( p \) is momentum, \( m \) is mass, and \( v \) is velocity. If the mass of an object is doubled while its velocity remains constant, the momentum will also change according to this relationship. When the mass is doubled, you can express this mathematically as \( p' = (2m)v \), where \( p' \) represents the new momentum. Since the velocity \( v \) does not change, we see that the momentum becomes \( p' = 2(mv) \). This indicates that the new momentum is exactly double the original momentum. Thus, the momentum of the object is indeed doubled when its mass is increased while keeping velocity constant.

Momentum is defined as the product of an object's mass and its velocity, described by the equation ( p = mv ), where ( p ) is momentum, ( m ) is mass, and ( v ) is velocity. If the mass of an object is doubled while its velocity remains constant, the momentum will also change according to this relationship.

When the mass is doubled, you can express this mathematically as ( p' = (2m)v ), where ( p' ) represents the new momentum. Since the velocity ( v ) does not change, we see that the momentum becomes ( p' = 2(mv) ). This indicates that the new momentum is exactly double the original momentum.

Thus, the momentum of the object is indeed doubled when its mass is increased while keeping velocity constant.