Three forces of magnitudes F1=4.0N, F2=6.0N, and F3=8.0N are applied to a block of mass m=2.0kg, initially at

rest, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive).

Part A

Calculate the magnitude of the resultant force F⃗ r=F⃗ 1+F⃗ 2+F⃗ 3 acting on the block.

Express the magnitude of the resultant force in newtons to two significant figures.

|F⃗ r| = 

Part B

What angle does F⃗ r make with the positive x axis?

Express your answer in degrees to two significant figures.

=

Part C

What is the magnitude of the block’s acceleration vector, a⃗ ?

Express your answer to two significant figures.

|a⃗ | =

Part D

What is the direction of a⃗ ? In other words, what angle does this vector make with respect to the positive x axis?

Express your answer in degrees to two significant figures.

=

Part E

How far (in meters) will the block move in 5.0 s? Recall that it starts from rest.

Express the distance d in meters to two significant figures.

d = 

Zach, whose mass is 70 kg , is in an elevator descending at 10 m/s . The elevator takes 2.5 s to brake to a stop at the first floor.

Part A

What is Zach’s apparent weight before the elevator starts braking?

Express your answer to two significant figures and include the appropriate units.

w = 

Part B

What is Zach’s apparent weight while the elevator is braking?

Express your answer to two significant figures and include the appropriate units.

w = 

Part A

A 0.51 kg bullfrog is sitting at rest on a level log. How large is the normal force of the log on the bullfrog?

Express your answer using two significant figures.

n = 

Part B

A second 0.51 kg bullfrog is on a log tilted 39 ∘ above horizontal. How large is the normal force of the log on this bullfrog?

Express your answer using two significant figures.

n =   ATTACHMENT PREVIEW Download attachment

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