/*! 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. 4 A velocity vector 40° below th... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A velocity vector 40°below the positive x-axis has a y-component of -10 m/s. What is the value of its x-component?

Short Answer

Expert verified

The value of its x-component is 11.92 m/s

Step by step solution

01

Step 1. Given information

The given values are,

The angle is θ=400

y- component of the velocity is vy=-10m/s

02

Step 2. Calculate the value of velocity v

Let velocity vector is v→.

y- component of the velocity is

vy=-vsinθ

Put the value of y- component of the velocity

-10=-vsin400

v=10sin400

03

Step 3. Calculate the value of x- component 

We know that,

x- component of the velocity is

vx=vcosθ

Put the value of v and θ

vx=10sin40o×cos40o

vx=11.92m/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

Let, A→=2i^+3j^,B→=2i^-4j^andC→=A→+B→.

a. Write vector C→in component form.

b. Draw a coordinate system and on it show vectors A→,B→andC→.

c. What are the magnitude and direction of vectorC→?

The position of a particle as a function of time is given by CALCr→=(5i^+4j^)t2m, where t is in seconds.

a. What is the particle's distance from the origin at localid="1651417420923" t=0,2, and localid="1651417427817" 5s
?

b. Find an expression for the particle's velocitylocalid="1651417455538" v→as a function of time.

c. What is the particle's speed at localid="1651417472266" t=0,2, and localid="1651417482255" 5s?

Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 25°, and Paul is pulling a large crate up the ramp with a rope that angles 10° above the ramp. If Paul pulls with a force of 550 N, what are the horizontal and vertical components of his force? (Force is measured in newtons, abbreviated N.)

Kami is walking through the airport with her two-wheeled suitcase. The suitcase handle is tilted 40° from vertical, and Kami pulls parallel to the handle with a force of 120 N. (Force is measured in newtons, abbreviated N.) What are the horizontal and vertical components of her applied force?

II Draw each of the following vectors, label an angle that specifies the vector's direction, then find its magnitude and direction.

a.B=−4i^+4j^

b.r→=(−2.0i^−1.0j^)cm

c.v→=(−10i^−100j^)m/s

d.a=(20i^+10j^)m/s2

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.