/*! 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.33 Space scientists have a large te... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Space scientists have a large test chamber from which all the air can be evacuated and in which they can create a horizontal uniform electric field. The electric field exerts a constant horizontal force on a charged object. A 15gcharged projectile is launched with a speed of 6.0m/s at an angle35° above the horizontal. It lands 2.9m in front of the launcher. What is the magnitude of the electric force on the projectile?

Short Answer

Expert verified

The magnitude of the electric force on the projectile is0.034N.

Step by step solution

01

Given Infromation

Mass of charged particle m=15g=0.015Kg

Initial velocityvo=6m/s

Range R=2.9m.

02

Calculate the time of flight 

The time of the flight is:

t=2vosinθg

Where,

v0is the initial velocity

gis the gravity acceleration

=2×6×sin35°9.8

=0.702s

03

Using the equation of motion along horizontal direction,

Using the equation of motion along horizontal direction,

For horizontal direction:

x=vocosθt+12axt2

localid="1648352197487" 2.9=6×cos35°×0.70234+12ax×0.702342

(2.9-4.915×0.70234)×2(0.70234)2=a

localid="1648352223322" a=2.238m/s2

localid="1648352255252" F=ma

Magnitude=15×10-3×2.238

F=0.034N

04

Final Answer

The magnitude of the electric force on the projectile is0.034N.

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

The 10 mg bead in FIGURE P8.48 is free to slide on a frictionless wire loop. The loop rotates about a vertical axis with angular velocity Ӭ. If Ӭ is less than some critical value Ӭc the bead sits at the bottom of the spinning loop. When Ӭ > Ӭc the bead moves out to some angle θ

  1. What is Ó¬c in rpm for the loop shown in the figure?
  2. At what value of Ӭc in rpm is θ=30o

conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing the ball to move in a horizontal circle of radius r. FIGURE P8.47 shows that the string traces out the surface of a cone, hence the name.
a. Find an expression for the tension T in the string.
b. Find an expression for the ball’s angular speed v.
c. What are the tension and angular speed (in rpm) for a 500 g ball swinging in a 20-cm-radius circle at the end of a 1.0-m-long string?

You’ve taken your neighbor’s young child to the carnival to ride the rides. She wants to ride The Rocket. Eight rocket-shaped cars hang by chains from the outside edge of a large steel disk. A vertical axle through the center of the ride turns the disk, causing the cars to revolve in a circle. You’ve just finished taking physics, so you decide to figure out the speed of the cars while you wait. You estimate that the disk is 5m in diameter and the chains are 6m long. The ride takes 10s to reach full speed, then the cars swing out until the chains are 20° from vertical. What is the cars’ speed?

As a science fair project, you want to launch an 800g model rocket straight up and hit a horizontally moving target as it passes 30m above the launch point. The rocket engine provides a constant thrust of 15.0N. The target is approaching at a speed of 15m/s. At what horizontal distance between the target and the rocket should you launch?

Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably know from experience, there is a minimum angular velocity Ó¬min you must maintain if you want the ball to complete the full circle without the string going slack at the top.
a. Find an expression for Ó¬min

b. EvaluateÓ¬minin rpm for a 65 g ball tied to a 1.0-m-long string.

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.