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Shwan pushes a cart in a supermarket with a force of 35 N directed at an angle of 25 downward from the horizontal. Find the work done by shwan on the cart as he moves along a 50.0 m length of aisle.

Respuesta :

The forces that act on the car in motion are shown in the figure. The force F has one component in the direction of the x-axis (Fx) and another in the direction of the y-axis (Fy). We must calculate the work (W) performed by the forces acting in the direction of the movement.

 Fx = F x Cos (25°)

 Fx = 35 N x Cos (25°)

 Fx = 31.72 N

 We must use the following formula:

 W = Fxd

 F = 35 N

 d = 50 m

 W = 31.72 N x 50 m

 W = 1586.04 Nxm

 W = 1586.04 J

 The work done by shwan on the cart as he moves along at 50.0 m length of aisle is 1586.04 J.

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