Work and kinetic energy step by step

What is work in physics?

Work is done when a force causes displacement. It is calculated as $\displaystyle W = F imes d$.

Formula for kinetic energy?

$\displaystyle KE = \\frac{1}{2}mv^2$, where m is mass and v is velocity.

True or false: Work can be zero.

True, because if there is no displacement, work is zero.

Difference between work and energy.

Work is the process of energy transfer. Energy is the capacity to perform work.

How is work related to energy?

Work transfers energy from one system to another, changing the system's energy state.

Define potential energy.

Potential energy is stored energy based on an object's position. Example: gravitational potential energy.

What factors affect kinetic energy?

Mass and velocity of an object determine its kinetic energy.

Fill in the blank: Kinetic energy increases with __________.

the square of velocity.

Question: What is the unit of work?

The unit of work is the Joule (J).

True or false: Work done is independent of the angle between force and displacement.

False, because the angle affects the effective component of the force.

What is the work-energy theorem?

The work-energy theorem states that the work done on an object equals the change in its kinetic energy.

What is power?

Power is the rate at which work is done, calculated as $\displaystyle P = \\frac{W}{t}$.

Difference between elastic and gravitational potential energy.

Elastic potential energy is stored in stretched or compressed objects, while gravitational potential energy depends on height.

What is the relationship between work and displacement?

Work is the product of force and displacement in the direction of the force.

Question: Can kinetic energy be negative?

No, kinetic energy is always a positive value because it is based on the square of velocity.

True or false: Energy can be created or destroyed.

False, because according to the law of conservation of energy, energy can only change forms.

Fill in the blank: The total mechanical energy is the sum of __________.

kinetic and potential energy.

Calculate work: Force is 10 N, displacement is 5 m.

Work done is $\displaystyle W = F \times d = 10 \times 5 = 50 J.$

What happens to kinetic energy if velocity doubles?

Kinetic energy increases by a factor of four, as it is proportional to the square of velocity.