Table of Contents

- 1 Why does kinetic energy increase by a factor of 4?
- 2 Which factor is responsible for increase in kinetic energy of particles?
- 3 When increasing these two factors kinetic energy also increases?
- 4 How does a car’s kinetic energy change when it speeds up?
- 5 When an increase in speed doubles the momentum of a body its kinetic energy?

## Why does kinetic energy increase by a factor of 4?

Kinetic energy is the energy of motion. This equation reveals that the kinetic energy of an object is directly proportional to the square of its speed. That means that for a twofold increase in speed, the kinetic energy will increase by a factor of four.

## Which factor is responsible for increase in kinetic energy of particles?

With an increase in temperature, the particles gain kinetic energy and move faster. The actual average speed of the particles depends on their mass as well as the temperature – heavier particles move more slowly than lighter ones at the same temperature.

**When a car’s speed increases by 4 times its kinetic energy what is it?**

Kinetic energy of a moving body is given by, K.E. ∝ v2. So, when the speed of car increases 4 times, kinetic energy becomes 16 times of it’s initial value.

**When the speed of an object is increased by a factor of 4 its momentum?**

When the velocity goes up by 4 times, the kinetic energy goes up by 16 times because the velocity gets squared. Here, velocity is not squared so multiplying the velocity by 4 only increases the momentum by a factor of 4.

### When increasing these two factors kinetic energy also increases?

Increasing Translational Kinetic Energy Because the translational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object’s translational kinetic energy.

### How does a car’s kinetic energy change when it speeds up?

When a car’s speed increases from 10 m/s to 20 m/s, the kinetic energy increases by a factor of four.

**When a car’s speed is doubled its kinetic energy is?**

The change in the kinetic energy of the object as the speed changes is proportional to the square of the factor by which the speed changes. If the speed of the object becomes double, its kinetic energy changes to four times the initial kinetic energy.

**When an increase in speed doubles the momentum?**

If you increase either mass or velocity, the momentum of the object increases proportionally. If you double the mass or velocity you double the momentum.

#### When an increase in speed doubles the momentum of a body its kinetic energy?

Kinetic energy is directly proportional to the squared of the velocity. This means that when momentum is doubled, mass remaining constant, velocity is doubled, as a result now kinetic energy becomes four times greater than the original value.