Question

The diagram below shows a block of mass m=2.00kgm=2.00kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F1=4.00NF1=4.00N, F2=6.00NF2=6.00N, and F3=8.00NF3=8.00N are applied to the block, initially at rest on the surface, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (total) force vector from the combination of the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive).

Figure 1:

A)

What is the magnitude of the mass's acceleration vector,a?

Express your answer to two significant figures.

B)

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

C)

How far (in meters) will the mass move in 5.0 s?

Express the distance ddd in meters to two significant figure

D)

What is the magnitude of the velocity vector of the block at t=5.0st=5.0s?

Express your answer in meters per second to two significant figures.

E)

In what direction is the mass moving at time t=5.0st=5.0s? That is, what angle does the velocity vector make with respect to the positive x axis?

Express your answer in degrees to two significant figures.

Answer 1