Work and Energy Problems

<p>The spring constant is directly proportional to the potential energy. (D)</p> Signup and view all the answers

<p>Work is the force applied to an object multiplied by the distance the object moves in the direction of the force. (D)</p> Signup and view all the answers

<p>PE = 1080 J and KE = 540 J (A)</p> Signup and view all the answers

<p>increases (B)</p> Signup and view all the answers

<p>110 J (B)</p> Signup and view all the answers

<p>3 (A)</p> Signup and view all the answers

<p>0 J (D)</p> Signup and view all the answers

<p>2.0 kg (B)</p> Signup and view all the answers

<p>Quartered (A)</p> Signup and view all the answers

<p>The same (C)</p> Signup and view all the answers

<p>B (D)</p> Signup and view all the answers

<p>Position (D)</p> Signup and view all the answers

<p>A boy jumping down from a tree limb (C)</p> Signup and view all the answers

<p>18.7 N/m (B)</p> Signup and view all the answers

<p>Linear increase (C)</p> Signup and view all the answers

<p>More than 20 J (B)</p> Signup and view all the answers

<p>40.0 J (B)</p> Signup and view all the answers

<p>980 J (A)</p> Signup and view all the answers

<p>newton meter (A)</p> Signup and view all the answers

<p>Holding the object stationary above the ground (C)</p> Signup and view all the answers

<p>At point B (D)</p> Signup and view all the answers

<p>534.0 J (D)</p> Signup and view all the answers

<p>100 J (D)</p> Signup and view all the answers

<p>0 J (A)</p> Signup and view all the answers

<p>4000 N (B)</p> Signup and view all the answers

<p>0 N (A)</p> Signup and view all the answers

<p>-200,000 J (C)</p> Signup and view all the answers

<p>16 J (D)</p> Signup and view all the answers

<p>200,000 J (C)</p> Signup and view all the answers

<p>The stopping distance is quadrupled (D)</p> Signup and view all the answers

<p>2 (B)</p> Signup and view all the answers

Energy stored due to an object's position or condition.

Energy of an object due to its motion.

The total mechanical energy remains constant; PE and KE convert into each other.

The kinetic energy of a freely falling object increases as it falls.

Collision with the most kinetic energy occurs at the lowest swing point.

Kinetic energy (KE) is calculated using the formula KE = 1/2 mv².

Halving speed reduces kinetic energy to a quarter.

Gravitational potential energy depends on an object's height above ground.

A system decreases gravitational potential energy when it moves downward.

The spring constant (k) is found from the elastic potential energy formula: PE = 1/2 kx².

Elastic potential energy is stored in a compressed or stretched spring.

Kinetic energy increases with mass if speed is constant.

An object moving at constant speed has constant kinetic energy if mass stays the same.

Kinetic energy (KE) is calculated as KE = 0.5 * m * v², where m is mass and v is velocity.

To double the kinetic energy, speed must be multiplied by √2 (approximately 1.41).

The kinetic energy of a 75-kg bicyclist moving at 12 m/s is 5,400 J.

The demonstration shows light energy converted to mechanical energy through electrical energy.

If a car's speed is constant but direction changes, its kinetic energy remains constant.

Given speed and kinetic energy, the mass can be found using m = 2KE/v².

Two objects can have the same kinetic energy if their mass and speed combinations match.

If a 10-kg object's kinetic energy is 2,000 J, its velocity is 20 m/s.

The energy transferred when a force moves an object.

The energy an object has due to its motion.

Energy stored due to an object's position or height.

Expressed in joules (J), which equals a newton meter.

A push or pull on an object that can cause it to accelerate.

Work done without energy loss to friction.

Potential energy related to an object's height and weight.

Energy cannot be created or destroyed, only transformed.

A measure of a spring's stiffness, defined as force per unit elongation.

The force exerted by a spring is proportional to its elongation from rest position.

The energy stored in a compressed or stretched spring, calculated as 1/2 kx².

The work required to lift an object is equal to the force times distance lifted.

The work done on an object is equal to the change in its kinetic energy.

A hypothetical surface where no friction acts on a moving object.

The angle between the direction of force applied and the horizontal plane.