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stepladder
10 days ago
9

A rare and valuable antique chest is being moved into a truck using a 4.00 m long ramp. the kj weight of the chest plus packing

material is 1,500 n. if the truck bed is 1.00 m above the ground, find the work done by the movers as they slide the chest up the ramp if the coefficient of friction between the chest and the ramp is 0.200.
Physics
1 answer:
ValentinkaMS [3.3K]10 days ago
7 0

We start by finding the angle of inclination with the sine function,

sin θ = 1 m / 4 m

θ = 14.48°

 

Next, we compute the work done by the movers using the following formula:

W = Fnet * d

 

We need to first determine Fnet. It is the weight force minus the frictional force.

Fnet = m g sinθ – μ m g cosθ

Fnet = 1,500 sin14.48 – 0.2 * 1,500 * cos14.48

Fnet = 84.526 N

 

The work done is therefore:

W = 84.526 N * 4 m

<span>W = 338.10 J</span>

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