Question

With a force of 21 N, Lisa pulls a wagon with her little brother. The handle of the wagon makes a 15° angle with the ground.



Approximately what force will move the wagon vertically upwards?
Answer







28.57 N








20.28 N








5.63 N








5.44 N




.

4 points


Question 4




MA.912.D.9.3

A stack of K-Rails, used for highway construction, are pulled along a ramp angled 31° to the ground with a force 10,545 N as shown below.



What is the horizontal force required to pull the K-Rails?
Answer







5431.08 N








6336.08 N








9038.83 N

Answer 1

Free body diagram incoming..

Answer 2

The free body diagram for the first problem is:

Answer 3

Note what you have is a force vector with magnitude 21 N at an angle of 15 degrees. And you want the vertical component of the vector e.g. the upward force

Answer 4

Any vector is just the sum of its horizontal and vertical components. See:

Answer 5

So y = 21 N * sin (15) = 5.44

Answer 6

*recall sin(x) = O/H

Answer 7

For the second problem you do the same thing, draw a fbd, decompose the force vector

Answer 8

for second question horizontal force is 10545* cos 31 = 9038.83 N

Answer 9

thank u guys for explaining it