Which statement accurately describes the relationship between force and momentum?
O A. As the density of an object increases, its momentum decreases,
and it takes less force to change its motion.
B. As the velocity of an object increases, its momentum decreases,
and it takes less force to change its motion.
C. As the density of an object increases, its momentum increases,
and it takes more force to change its motion.
O D. As the velocity of an object increases, its momentum increases,
and it takes more force to change its motion.

The Statement D , describes the relationship between force and  momentum

If we apply a force, an object in rest will start moving and generates momentum.

However, momentum is the product of mass and velocity.

Where m is mass of object and v is velocity of object.

Force and momentum relation is given by the equation:

From above expression, it is observed that As the velocity of an object increases, its momentum increases,  and it takes more force to change its motion.

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D. As the velocity of an object increases, its momentum increases,  and it takes more force to change its motion.

Explanation:

The last option is the right choice.

Momentum is the amount of motion a body posses. It is mathematically given as:

      Momentum  = mass  x velocity

So momentum is directly proportional to the velocity and mass of a body. As the velocity increases, the momentum also increases.

This will further suggest that more force is needed to change the motion of the body because of the direct relationship between momentum and velocity.

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