A 6.20 kg block is pushed 9.50 m up a smooth 36.0 ∘inclined plane by a horizontal force of 70.0 N . If the initial speed of the block is 3.50 m/s up the plane.
Calculate the initial kinetic energy of the block.
Calculate the work done by the 70.0 N force.
Calculate the work done by gravity.
Calculate the work done by the normal force.
Calculate the final kinetic energy of the block.
Please explain
a)
Initial Kinetic energy, KE = 0.5*mv^2
= 0.5*(6.2)*(3.5)^2
= 38 J
b)
Work done by 70 N force = F*cos(36 deg)*d
= 70*cos(36 deg)*9.5
= 538 J
c)
Work done by gravity = -mg*sin(36 deg)*d
= -6.2*9.8*sin(36 deg)*9.5
= -339.3 J
d)
Work done by normal force = 0 <---- as the displacement is perpendicular to the normal force
e)
Final KE of the block = initial KE + Net work done on the body
= initial KE + Work done by 70 N force + Work done by gravity + Work done by normal force
= 38 + 538 - 339.3 + 0
= 236.7 J
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