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Chapter 3: Q. 4 (page 77)

A velocity vector 40掳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 胃=400

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

02

Step 2. Calculate the value of velocity v

Let velocity vector is v鈫�.

y- component of the velocity is

vy=-vsin胃

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=vcos胃

Put the value of v and 胃

vx=10sin40o脳cos40o

vx=11.92m/s

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Most popular questions from this chapter

II You go to an amusement park with your friend Betty, who wants to ride the 30 -m-diameter Ferris wheel. She starts the ride at the lowest point of a wheel that, as you face it, rotates counter clockwise. What is her displacement vector when the wheel has rotated by an angle of 60掳? Give your answer as a magnitude and direction.

Is it possible to add a scalar to a vector? If so, demonstrate. If not, explain why not.

I Jack and Jill ran up the hill at 3.0m/s. The horizontal component of Jill's velocity vector was 2.5m/s.

a. What was the angle of the hill?

b. What was the vertical component of Jill's velocity?

7. Draw each of the following vectors. Then find its x - and y- components.

a. v鈫�=7.5m/s,鈥夆赌夆赌�30掳clockwise from the positive x-axis )

b. a鈫�=1.5m/s2,鈥夆赌夆赌�30掳above the negative x-axis )

c. F鈫�=50.0N,鈥夆赌夆赌�36.9掳counter clockwise from the positive y-axis )

Can a vector have a component equal to zero and still have nonzero magnitude? Explain.
See all solutions

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