Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 8: Q. 53 (page 201)

30 g ball rolls around a 40-cm-diameter L-shaped track, shown in FIGURE P8.53, at 60 rpm. What is the magnitude of the net force that the track exerts on the ball? Rolling friction can be neglected.
Hint: The track exerts more than one force on the ball

Short Answer

Expert verified

The the net force that the track exerts on the ball FNet=0.38 N

Step by step solution

01

 Step1: Given Information

Mass of ball = 30 g =0.030 kg
Diameter of track =40 cm =0.40m

So radius =0.2 m
Angular velocity of ball =60 rpm

02

Explanation

First calculate Centripetal force using mv2/r

where m= mass, v= velocity and r = radius.

We know that Gravitational force =mg

Gravitational force acting downward and and centripetal force towards center of track.

So, net force is their resultant of these two force.

Gravitational force:

Fg=mg=(0.03kg)×(9.81m/s2)=0.2943N

Centripetal force :

Fc=mv2r=(0.03kg)×(1.256m/s)20.2m=0.2366N

Now calculate resultant force Fnet

Fnet=(Fc2+Fg2)=(0.2943N)2+(0.2366N)2=0.38N

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

A 2.0kgprojectile with initial velocity v→=8.0ı^m/sexperiences the variable force F→=-2.0tl^+4.0t2ȷ^N, where t is in s.

a. What is the projectile’s speed at t=2.0s?

b. At what instant of time is the projectile moving parallel to they-axis?

A 75kg man weighs himself at the north pole and at the equator. Which scale reading is higher? By how much? Assume the earth is spherical.

A rocket-powered hockey puck has a thrust of 2.0N and a total mass of 1.0kg. It is released from rest on a frictionless table, 4.0m from the edge of a 2.0m drop. The front of the rocket is pointed directly toward the edge. How far does the puck land from the base of the table?

A motorcycle daredevil plans to ride up a 2.0-m-high, 20°ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as he starts up the ramp. He is going 11m/sat that instant, and the rolling friction of his rubber tires (coefficient 0.02) is not negligible. Does he survive, or does he become crocodile food? Justify your answer by calculating the distance he travels through the air after leaving the end of the ramp.

Scientists design a new particle accelerator in which protons (mass 1.7 x 10-27kg ) follow a circular trajectory given by r→=ccoskt2ı^+csinkt2ȷ^ where c=5.0 m and k=8.0 x 104 rad/s2 are constants and t is the elapsed time.
a. What is the radius of the circle?
b. What is the proton's speed at t=3.0s ?
c. What is the force on the proton at t=3.0 s ? Give your answer in component form.
See all solutions

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Read Explanation

Electricity and Magnetism

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Electromagnetism

Read Explanation

Astrophysics

Read Explanation

Magnetism and Electromagnetic Induction

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