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The diagram below shows a block of mass m=2.0 kg on a frictionless horizontal su

ID: 1682889 • Letter: T

Question

The diagram below shows a block of mass m=2.0 kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F1=4.0 N, F2=6.0 N, and F3=8.0 N are applied to the block, initially at rest on the surface, at angles 25 degrees and 325 degrees shown on the diagram. 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). Ignore the oval shape above. Calculate the magnitude of the total resultant force Fr=F1 + F2 + F3 acting on the mass.
Express the magnitude of the resultant force in newtons to to two decimal places..

What angle does Fr make with the positive x axis?
Express your answer in degrees to two significant figures.

What is the magnitude of the mass's acceleration vector, a?
Express your answer to two significant figures.

What is the direction of a? 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.

How far (in meters) will the mass move in 5.0 s?
Express the distance d in meters to two significant figures.

What is the magnitude of the velocity vector of the block at t=5.0s?
Express your answer in meters per second to two significant figures.

In what direction is the mass moving at time t=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.

Explanation / Answer

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