Thanks A block of mass 2.50 kg is pushed a distance 2.20 m along a frictionless

Question

Thanks A block of mass 2.50 kg is pushed a distance 2.20 m along a frictionless horizontal table by a constant applied force of magnitude 16.0 N at an angle 25.0degree below the horizontal.: Determine the work done by each of (a) the applied force, (b) the normal force exerted by the table, (c) the weight, (d) the net force on the block.: Suppose the block instead had a force applied to it of the form: F = F_maxcos(cx)i, where F_max is a constant and c is a constant with a value equal to pi. (e) What units must the constant c have? (f) Calculate the work done i: the box was displaced from x_i = 0m to X_f = 1m. (g) sketch a graph of F vs x for and geometrically explain the answer to (f).

Explanation / Answer

a )

the applied force

Wapplied = 16 X 2.2 X cos25

= 35.2 X 0.9063

= 31.90 J

b )

the normal force

Wnormal = n X dr X cos90

= n X dr X 0

= 0 J

c )

the weight is

Ww = F X dr X cos90

= F X dr X 0

= 0 J

d )

the net work done is

Wnet = Wapplied + Ww

= 31. 9 + 0

= 31. 9 J

e )

Newtons

f )

F = 31.9 X cos 25

F = 28.911 N

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