You shovel 3.29 kg pile of snow and lift and set it into motion, the snow leaves the shovel at 2.94  m/s at a height of .562 m, What's the work done?

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justaguide eNotes educator| Certified Educator

The shovel is used to lift 3.29 kg of snow and set it into motion. It leaves the shovel at 2.94 m/s at a height of 0.562 m.

The work done during the process is equal to the total energy gained by the pile of snow. This includes an increase in potential energy as the height of the pile of snow is being raised; and as the snow is released at a speed higher than the original speed there is an addition in kinetic energy also. The gravitational potential energy of the pile of snow at a height h is given by m*g*h, for the values given this is equal to 3.29*9.8*0.562 = 18.120004 J. The kinetic energy is given by (1/2)*m*v^2, for the values provided this is equal to (1/2)*3.29*2.94^2 = 14.218722. The total increase in energy is 32.338726 J

The work done is equal to 32.338726 J.