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A girl uses a 3.0 m long ramp to push her 110 kg motorbike up to a trailer, the floor of which is 1.2 m above the ground.
How much work is done on the motorbike?

User Guapo
by
5.5k points

2 Answers

7 votes

Final answer:

The work done on the motorbike is 3234 J.

Step-by-step explanation:

To calculate the work done on the motorbike, we need to use the formula:

Work = Force * Distance * cos(theta)

Where:

Force = mass * acceleration due to gravity

Distance = length of the ramp

theta = angle between the ramp and the horizontal

First, calculate the force:

Force = 110 kg * 9.8 m/s^2 = 1078 N

Next, plug the values into the work formula:

Work = 1078 N * 3.0 m * cos(0°)

Since the ramp is not inclined, the angle theta is 0° and the cosine of 0° is 1.

So, the work done on the motorbike is:

Work = 1078 N * 3.0 m * 1 = 3234 J

User Jon Magnus
by
5.1k points
5 votes

we can use 3 formula for inclined plane

W=-ΔPE

W=ΔKE

W=mg sinθ. d

let's use the third formula

sinθ = 1.2 : 3

sinθ = = 0.4

W = m.g. sinθ. d

W = 110 x 10 x 0.4 x 3

W = 1320 J

User Rajan Mishra
by
4.8k points