Kinetic Energy - AP Physics C: Electricity and Magnetism

The law of conservation of energy states:

If the car starts at rest, then the initial kinetic energy = 0 J.

If the car ends at the reference height, the final potential energy = 0 J.

Subsituting these values, the equation becomes:

The initial potential energy can be determined by:

The final kinetic energy equation is:

Substituting the initial potential energy and final kinetic energy into our modified conservation of energy equation, we get:

The formula for kinetic energy of an object is:

The problem gives us the mass and the kinetic energy, and asks for the velocity, so we can rearrange the equation:

Use our given values for kinetic energy and mass to solve:

Kinetic energy is defined by the equation:

Taking the derivative of the position function allows us to obtain the velocity function:

We can now determine the velocity after two seconds:

Now that we know our velocity, we can solve for the kinetic energy.

Kinetic energy is given by the equation:

We can find the velocity using the given acceleration and time:

Use this velocity to find the kinetic energy after three seconds:

The law of conservation of energy states:

If the car starts at rest, then the initial kinetic energy = 0 J.

If the car ends at the reference height, the final potential energy = 0 J.

Subsituting these values, the equation becomes:

The initial potential energy can be determined by:

The final kinetic energy equation is:

Substituting the initial potential energy and final kinetic energy into our modified conservation of energy equation, we get:

The formula for kinetic energy of an object is:

The problem gives us the mass and the kinetic energy, and asks for the velocity, so we can rearrange the equation:

Use our given values for kinetic energy and mass to solve:

Kinetic energy is defined by the equation:

Taking the derivative of the position function allows us to obtain the velocity function:

We can now determine the velocity after two seconds:

Now that we know our velocity, we can solve for the kinetic energy.

Kinetic energy is given by the equation:

We can find the velocity using the given acceleration and time:

Use this velocity to find the kinetic energy after three seconds:

The law of conservation of energy states:

If the car starts at rest, then the initial kinetic energy = 0 J.

If the car ends at the reference height, the final potential energy = 0 J.

Subsituting these values, the equation becomes:

The initial potential energy can be determined by:

The final kinetic energy equation is:

Substituting the initial potential energy and final kinetic energy into our modified conservation of energy equation, we get:

The formula for kinetic energy of an object is:

The problem gives us the mass and the kinetic energy, and asks for the velocity, so we can rearrange the equation:

Use our given values for kinetic energy and mass to solve:

Kinetic energy is defined by the equation:

Taking the derivative of the position function allows us to obtain the velocity function:

We can now determine the velocity after two seconds:

Now that we know our velocity, we can solve for the kinetic energy.

Kinetic energy is given by the equation:

We can find the velocity using the given acceleration and time:

Use this velocity to find the kinetic energy after three seconds:

The law of conservation of energy states:

If the car starts at rest, then the initial kinetic energy = 0 J.

If the car ends at the reference height, the final potential energy = 0 J.

Subsituting these values, the equation becomes:

The initial potential energy can be determined by:

The final kinetic energy equation is:

Substituting the initial potential energy and final kinetic energy into our modified conservation of energy equation, we get:

The formula for kinetic energy of an object is:

The problem gives us the mass and the kinetic energy, and asks for the velocity, so we can rearrange the equation:

Use our given values for kinetic energy and mass to solve:

Kinetic energy is defined by the equation:

Taking the derivative of the position function allows us to obtain the velocity function:

We can now determine the velocity after two seconds:

Now that we know our velocity, we can solve for the kinetic energy.

Kinetic energy is given by the equation:

We can find the velocity using the given acceleration and time:

Use this velocity to find the kinetic energy after three seconds:

The law of conservation of energy states:

If the car starts at rest, then the initial kinetic energy = 0 J.

If the car ends at the reference height, the final potential energy = 0 J.

Subsituting these values, the equation becomes:

The initial potential energy can be determined by:

The final kinetic energy equation is:

Substituting the initial potential energy and final kinetic energy into our modified conservation of energy equation, we get:

The formula for kinetic energy of an object is:

The problem gives us the mass and the kinetic energy, and asks for the velocity, so we can rearrange the equation:

Use our given values for kinetic energy and mass to solve:

Kinetic energy is defined by the equation:

Taking the derivative of the position function allows us to obtain the velocity function:

We can now determine the velocity after two seconds:

Now that we know our velocity, we can solve for the kinetic energy.

Kinetic energy is given by the equation:

We can find the velocity using the given acceleration and time:

Use this velocity to find the kinetic energy after three seconds: