A block of mass m = 2.60 kg is pushed a distance d = 6.80 m along a frictionless

Question

A block of mass m = 2.60 kg is pushed a distance d = 6.80 m along a frictionless, horizontal table by a constant applied force of magnitude F =16.0 N directed at an angle ? = 29.0

A block of mass m = 2.60 kg is pushed a distance d = 6.80 m along a frictionless, horizontal table by a constant applied force of magnitude F =16.0 N directed at an angle ? = 29.0 degree below the horizontal as shown in the figure below. Determine the work done on the block by the applied force. Determine the work done on the block by the normal force exerted by the table. Determine the work done on the block by the gravitational force. Determine the work done by the net force on the block.

Explanation / Answer

Work done by a force W = F * d * cos ?

a. Wapp = 16.0 * 6.8 * cos 29

= 95.158 J

b. Normal force exerted by the table FN = m * g + F * sin ?

= 2.60 * 9.8 + 16.0 * sin 26.00

= 33.23 N

Work done WN = 33.23 * 8.0 * cos 90

= 0 J

c. Work done by gravitational force Wg = m * g * d * cos 90

= 0 J

c. Work done by net forces W = Wapp + WN + Wg

=95.158 J

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