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Upon what basic quantity does kinetic energy depend? Upon what basic quantity does potential energy depend?

Short Answer

Expert verified

The kinetic energy depends on mass and speed.

The potential energy depends on position.

Step by step solution

01

Content Introduction

Kinetic energy is a type of energy that may be exchanged between objects and converted into other forms of energy. The quantity of kinetic energy that an object has is determined by two variables: the object's mass (m) and its speed (v).

02

Explanation of Kinetic Energy

The kinetic energy of an item is directly proportional to the square of its speed. This indicates that a twofold increase in speed will result in a fourfold increase in kinetic energy. The kinetic energy will increase by a factor of nine for every threefold increase in speed. The square of the speed determines the kinetic energy.

03

Explanation of Potential Energy

Potential energy is the energy that is stored in a system and is determined by the relative positions of various pieces of the system. When a spring is compressed or stretched, it has more potential energy. In systems where parts exert forces on each other that are proportionate to their configuration, or relative position, potential energy is formed.

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Most popular questions from this chapter

A force does work on a 50gparticle as the particle moves along the following straight paths in the xy-plane: 25Jfrom (0m,0m)to (5m,0m); 35Jfrom (0m,0m)to(0m,5m); –5Jfrom (5m,0m)to (5m,5m); –15Jfrom (0m,5m)to (5m,5m); and 20Jfrom (0m,0m)to(5m,5m).

a. Is this a conservative force?

b. If the zero of potential energy is at the origin, what is the potential energy at (5m,5m)?

The spring shown in FIGURE P10.54 is compressed 50cmand used to launch a 100kgphysics student. The track is frictionless until it starts up the incline. The student’s coefficient of kinetic friction on the 30oincline is 0.15.

a. What is the student’s speed just after losing contact with the spring?

b. How far up the incline does the student go?

The spring in FIGURE EX10.22a is compressed by ∆x. It launches the block across a frictionless surface with speed v0. The two springs in FIGURE EX10.22b are identical to the spring of Figure EX10.22a. They are compressed by the same ∆x and used to launch the same block. What is the block’s speed now?

A system has potential energy

Ux=x+sin2rad/mx

as a particle moves over the range0m≤x≤πm.

a. Where are the equilibrium positions in this range?

b. For each, is it a point of stable or unstable equilibrium?

A process occurs in which a system’s potential energy increases while the environment does work on the system. Does the system’s kinetic energy increase, decrease, or stay the same? Or is there not enough information to tell? Explain.

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