Assuming that the car is travelling in a straight line the force required to maintain its velocity is given by the equation:

F = ma

where m is the mass of the car and a is its acceleration. The acceleration of the car is determined by the force applied to it and the mass of the car.

If the force applied to the car is greater than the force required to maintain its velocity the car will accelerate. If the force applied to the car is less than the force required to maintain its velocity the car will decelerate.

The force required to accelerate a car of mass m with an acceleration a is given by the equation:

F = ma

where m is the mass of the car and a is its acceleration.

The force required to decelerate a car of mass m with an acceleration a is given by the equation:

F = ma

where m is the mass of the car and a is its acceleration.

The force required to change the velocity of a car of mass m from a velocity v to a velocity v’ is given by the equation:

F = ma

where m is the mass of the car and a is its acceleration.

Thus the force required to maintain a car of mass m travelling with a velocity v is given by the equation:

F = ma

where m is the mass of the car and a is its acceleration.

Table of Contents

## What is the momentum of a car with mass m traveling with velocity v?

The momentum of the car is mv.

## What is the kinetic energy of a car with mass m traveling with velocity v?

The kinetic energy of the car is 1/2 mv^2.

## What is the velocity of a car with mass m and momentum p?

The velocity of the car is p/m.

## What is the kinetic energy of a car with mass m and velocity v in terms of its momentum p?

The kinetic energy of the car is 1/2 p^2/m.

## What is the work done on a car of mass m traveling with velocity v when it is brought to a stop?

The work done on the car is 1/2 mv^2.

## What is the kinetic energy of a car of mass m traveling with velocity v in terms of its speed s?

The kinetic energy of the car is 1/2 mv^2.

## What is the relationship between the kinetic energy of a car of mass m traveling with velocity v and its momentum p?

The kinetic energy of the car is 1/2 p^2/m.

## If a car of mass m traveling with velocity v has its velocity doubled what is its new kinetic energy?

The new kinetic energy of the car is 2mv^2.

## If a car of mass m traveling with velocity v has its mass doubled what is its new kinetic energy?

The new kinetic energy of the car is 1/2mv^2.

## If a car of mass m traveling with velocity v has its velocity tripled what is its new kinetic energy?

The new kinetic energy of the car is 9mv^2.

## If a car of mass m traveling with velocity v has its mass tripled what is its new kinetic energy?

The new kinetic energy of the car is 3/2mv^2.

## What is the relationship between the kinetic energy of a car of mass m traveling with velocity v and its speed s?

The kinetic energy of the car is 1/2 mv^2.

## If a car of mass m traveling with velocity v has its velocity quadrupled what is its new kinetic energy?

The new kinetic energy of the car is 16mv^2.

## If a car of mass m traveling with velocity v has its mass quadrupled what is its new kinetic energy?

The new kinetic energy of the car is 2mv^2.

## If a car of mass m traveling with velocity v has its velocity quintupled what is its new kinetic energy?

The new kinetic energy of the car is 25mv^2.