/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 61 A 500 g particle has velocity vx... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A 500 g particle has velocity vx=-5.0m/sat t=-2s. Force Fx=4-t2, where t is in s, is exerted on the particle betweent=-2sandt=2s. This force increases from 0 N at t=-2sto4Natt=0s and then back to 0Natt=2s. What is the particle’s velocity at t = 2 s?

Short Answer

Expert verified

The particle's velocity att=2secis16.33m/s

Step by step solution

01

Given information

We have given that a 500gparticle has velocityvx=-5.0m/satt=-2sand forceFx=4-t2N.

02

Analyze and apply

Applying the impulse-momentum theorem,

J=pfinal−pinitial∫−22Fxdt=mparitclevfinal−mparitclevinitial∫−224−t2dt=0.5kg×vfinal−0.5kg×−5m/s

On solving further,

4⋅2−−2−4323−(−2)3=0.5kg×vfinal+2.516−2.5=0.5kg×vfinalvfinal=16.33m/s

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.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

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

Air-track gliders with masses 300g,400g,and200gare lined up and held in place with lightweight springs compressed between them. All three are released at once. The 200gglider flies off to the right while the300g glider goes left. Their position-versus-time graphs, as measured by motion detectors, are shown in FIGURE P11.44. What are the direction (right or left) and speed of the 400 g glider that was in the middle?

A proton (mass 1 u) is shot toward an unknown target nucleus at a speed of 2.50×106 m/s. The proton rebounds with its speed reduced by 25% while the target nucleus acquires a speed of 3.12×105 m/s. What is the mass, in atomic mass units, of the target nucleus?

Two particles collide, one of which was initially moving and the other initially at rest.

a. Is it possible for both particles to be at rest after the collision? Give an example in which this happens, or explain why it can’t happen.

b. Is it possible for one particle to be at rest after the collision? Give an example in which this happens, or explain why it can’t happen.

a. To understand why rockets often have multiple stages, first consider a single-stage rocket with an empty mass of 200 kg, 800 kg of fuel, and a 2000 m/s exhaust speed. If fired in deep space, what is the rocket’s maximum speed?

b. Now divide the rocket into two stages, each with an empty mass of 100 kg, 400 kg of fuel, and a 2000 m/s exhaust speed. The first stage is released after it runs out of fuel. What is the top speed of the second stage? You’ll need to consider how the equation for vmax should be altered when a rocket is not starting from rest.

A 0.2kgplastic cart and a 20kglead cart can both roll without friction on a horizontal surface. Equal forces are used to push both carts forward for a time of 1s, starting from rest. After the force is removed at t=1s, is the momentum of the plastic cart greater than, less than, or equal to the momentum of the lead cart? Explain.

See all solutions

Recommended explanations on Physics Textbooks

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.