# Fundamentals of Physics Chapter 7 Solutions: Kinetic Energy and Work

Halliday Resnick and Walker Fundamentals of Physics Volume 1 Solutions for Chapter 7 ‘Kinetic Energy and Work’ are designed to help you prepare easily for JEE and NEET like exams. This chapter of Resnick Halliday Solutions will throw a light on various topics like what is kinetic energy, work, work done by a constant force, spring force, work done by a spring force, work done by a variable force, work done by the gravitational force, and power. After reading all the concepts, you will be able to solve all the questions provided in the exercise for this chapter.

Physics Solutions for Resnick Halliday & Walker Volume 1 ‘Kinetic Energy and Work’ have an exercise of 85 questions which are divided into 7 modules. The questions of this chapter are based on topics like kinetic energy, work, spring force, work done by the gravitational force, calculation of power. Practising such questions will give you a thorough and deep understanding of the concepts related to this chapter. You can enhance your problem-solving skills with these questions. You will also find many such questions in your competitive exams like JEE Mains, JEE Advanced and NEET.

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## Important Topics for Halliday Resnick & Walker Fundamentals of Physics Volume 1 Solutions Chapter 7: Kinetic Energy and Work

**Kinetic Energy**: It is defined as the energy of an object due to its motion. The kinetic energy of an object with mass ‘m’ and velocity ‘v’ can be calculated by

**Work Done by a Constant Force**: You can calculate the work done on a particle by a constant force ‘f’ during displacement ‘d’ with the formula

**Work and Kinetic Energy: **For an object, a change K in the kinetic energy is equal to the net work done (W)

Here, K_{i} = the initial kinetic energy of an object and K_{f} = the kinetic energy after the work is done.

**Work Done by the Gravitational Force:** You can calculate the work done ‘W_{g}’ by the gravitational force ‘F_{g}’ on an object of mass ‘m’ when it moves through a displacement ‘d’ with the formula

Here, θ is the angle between F_{g} and d & g is the gravitational acceleration.

**Work Done in Lifting and Lowering an Object:** You can find the work done by an applied force of a particle-like object when either lifted or lowered by the formula

**Spring force**: The force F_{s} of spring with displacement ‘d’ is calculated by Hook’s law

F_{s}= -kd

Here, ‘d’ is the displacement of the spring when the spring is in its relaxed state and ‘k’ is the spring constant

**Hooke’s Law**: It is a law in physics that says that the force required to extend or compress a spring with some distance is directly proportional to the distance.**Relaxed State**: When the spring is neither compressed nor extended.- Work Done by a Spring Force is calculated by the formula W
_{s}=-½ kx^2 where k is the spring constant and x is the distance the spring when it is stretched or compressed

**Work Done by a Variable Force: **You can calculate the work done by a variable force in different coordinates by integrating the force.

Where

x_{i} is the initial position

x_{f} is the final position

dx is the differential of the variable x

f(x) is the force to be integrated

**Power**: Power is defined as the rate of doing work. You can calculate average power by

P= w/Δt

Here, w is the amount of work done

Δt is the change in time

You can calculate instantaneous power by the method of differentiation i.e.

P= dw/dt

Here, w is work done and dt is the time derivative

### Exercise Discussion of Resnick Halliday & Walker Fundamentals of Physics Volume 1 Solutions Chapter 7: Kinetic Energy and Work

**Module 1: Kinetic Energy **

This module of Resnick Halliday contains 6 questions based on the topic of kinetic energy. You are asked questions about finding kinetic energy at different intervals of time, speed, and increase in the kinetic energy of an object.

**Module 2: Work and Kinetic Energy **

This Resnick Halliday module has 9 questions which are based on kinetic energy, work done by an object. In some questions, you have to find the work done when displacement, force, etc of an object are provided.

**Module 3: Work Done by the Gravitational Force **

In this module of Resnick Halliday, you will find 8 questions that ask you to find work done during gravity. Some other questions ask you to find kinetic energy, force, speed, etc. of an object in the presence of gravitational force.

**Module 4: Work Done by a Spring Force**

This Resnick Halliday module covers 7 questions based on the topic of the spring force. You have to apply the concept of hooke’s law in these questions. You will also find some graphical questions here.

**Module 5: Work Done by a General Variable Force**

You will find 8 questions in this module which ask you to calculate the work done by a particle with a general variable force. In some questions, you have to use graphs to find the work done by an object. There are other questions that ask you to find kinetic energy within a general variable force.

**Module 6: Power **

This Resnick Halliday module contains 9 questions based on the concept of power. You will see some questions that ask you to calculate work done, average power, force, instantaneous power, time, etc. You have to use the formula of power and also some concepts of differentiation in these questions.

**Module 7: Additional Questions**

This module contains 32 questions in total that cover all the concepts of the chapter. The questions are based on kinetic energy, work, force, speed, power, spring force, work done in a gravitational force, etc. There are questions based on graphs as well.

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