Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Problem 427

The mass of a car is \(1000 \mathrm{~kg}\). How much work is required to be done on it to make it move with a speed of \(36 \mathrm{~km} / \mathrm{h}\) ? (A) \(2.5 \times 10^{4} \mathrm{~J}\) (B) \(5 \times 10^{3} \mathrm{~J}\) (C) \(500 \mathrm{~J}\) (D) \(5 \times 10^{4} \mathrm{~J}\)

Short Answer

Expert verified
The work required to make the car move with a speed of \(36 \mathrm{~km} / \mathrm{h}\) is (D) \(5 \times 10^{4} \mathrm{~J}\).

Step by step solution

01

Convert the speed to m/s

First, we convert the speed from km/h to m/s by multiplying it by 1000 to convert kilometers to meters, then dividing by 3600 to convert hours to seconds. So, we have: \[ v = \frac{36 \text{ km/h} \times 1000 \text{m/km}}{3600 \text{s/h}} = 10 \text{ m/s} \]
02

Calculate the kinetic energy

Now that we have the speed in m/s, we can plug the mass (m = 1000 kg) and speed (v = 10 m/s) into the kinetic energy formula: \[ KE = \frac{1}{2}mv^2 = \frac{1}{2} \times 1000\text{ kg} \times (10\text{ m/s})^2 \]
03

Compute the work done

Since work done is equal to the transfer of energy, and in this case, it is the transfer of kinetic energy, we can find the work done by solving the equation from step 2: \[ W = KE = \frac{1}{2} \times 1000\text{ kg} \times (10\text{ m/s})^2 = \frac{1}{2} \times 1000 \times 100 = 50,\!000\text{ J} \] From the given options, the work required to make the car move with a speed of 36 km/h is (D) \(5 \times 10^{4} \mathrm{~J}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Assertion and Reason are given in following questions. Each question have four option. One of them is correct it. (1) If both assertion and reason and the reason is the correct explanation of the Assertion. (2) If both assertion and reason are true but reason is not the correct explanation of the assertion. (3) If the assertion is true but reason is false. (4) If the assertion and reason both are false. Assertion: In the elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Reason: In the elastic collision the linear momentum of the system is conserved. (A)1 (B) 2 (C) 3 (D) 4

A body of mass \(6 \mathrm{~kg}\) is under a force, which causes a displacement in it given by $\mathrm{S}=\left[\left(2 \mathrm{t}^{3}\right) / 3\right](\mathrm{in} \mathrm{m}) .$ Find the work done by the force in first one seconds. (A) \(2 \mathrm{~J}\) (B) \(3.8 \mathrm{~J}\) (C) \(5.2 \mathrm{~J}\) (D) \(24 \mathrm{~J}\)

Assertion and Reason are given in following questions. Each question have four option. One of them is correct it. (1) If both assertion and reason and the reason is the correct explanation of the Assertion. (2) If both assertion and reason are true but reason is not the correct explanation of the assertion. (3) If the assertion is true but reason is false. (4) If the assertion and reason both are false. Assertion: Mountain roads rarely go straight up the slope. Reason: slope of mountains are large, therefore, more chances of vehicle to slip from roads. (A) 1 (B) 2 (C) 3 (D) 4

A force \(F=A y^{2}+B y+C\) acts on a body in the \(y\) -direction. The work done by this force during a displacement from \(\mathrm{y}=-\mathrm{a}\) to \(\mathrm{y}=\mathrm{a}\) is (A) \(\left[\left\\{2 \mathrm{Aa}^{3}\right\\} / 3\right]\) (B) \(\left[\left\\{2 \mathrm{Aa}^{3}\right\\} / 3\right]+2 \mathrm{ca}\) (C) $\left[\left\\{2 \mathrm{Aa}^{3}\right\\} / 3\right]+\left[\left\\{\mathrm{Ba}^{2}\right\\} / 2\right]+\mathrm{ca}$ (D) None of these.

A body having a mass of \(0.5 \mathrm{~kg}\) slips along the wall of a semispherical smooth surface of radius \(20 \mathrm{~cm}\) shown in figure. What is the velocity of body at the bottom of the surface $?\left(\mathrm{~g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)$ (A) \(2 \mathrm{~m} / \mathrm{s}\) (B) \(2 \mathrm{~m} / \mathrm{s}\) (C) \(2 \sqrt{2} \mathrm{~m} / \mathrm{s}\) (D) \(4 \mathrm{~m} / \mathrm{s}\)
See all solutions

Recommended explanations on English Textbooks

Synthesis Essay

Read Explanation

International English

Read Explanation

Sociolinguistics

Read Explanation

Text Comparison

Read Explanation

Research and Composition

Read Explanation

Rhetorical Analysis Essay

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free