Answer to Question #190051 in Classical Mechanics for sydney meyer

Question

A block slides down an inclined ramp such that it speeds up by 5 m/s/s. The ramp is not frictionless. The ramp makes an angle of 53° with respect to the horizontal. The mass of the block is 50 kg.

 

A. Draw a free-body diagram for the block.

B. Find the magnitude of the gravitational force exerted on the block. Show your work. (You may use g»10m/s²).

C. Draw an arrow on the diagram above to indicate the direction of the acceleration of the block. If the acceleration is zero, please state that explicitly.

D. Find the magnitude of the normal force exerted on the block by the ramp. Show your work and indicate which of Newton’s laws you used to find your answer.

E.  Use Newton's 2^nd Law to find the magnitude of the frictional force exerted on the block by the ramp. Show your work.  

F.  Find the coefficient of kinetic friction between the block and the ramp. Show your work.

Answer 1

answer

A.

B.

gravitational force

$F=mg=50\times 10=400N$

c.

d.

normal force

$N=mgcos53^0=(50)(10)cos53^0=300.9N$

e.

$mgsin53^0-f=ma\\ f=50(10\times sin53^0-5)\\f=149.3N$

f.

$\mu N=f\\\mu=\frac{149.3}{300.9}\\\mu=0.49$