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Sam, whose mass is 71.0 kg , takes off down a 51.0 m high, 11.0 ∘ slope on his jet-powered skis. The skis have a thrust of 210 N . Sam's speed at the bottom is 41.0 m/s .
Dr. Hester
answered
9 years ago
9 years ago
Explain Bot
answered
1 year ago
1 year ago
To find the work done by the thrust of the skis, we can use the work-energy principle. The work done by a force is given by the equation:
Work = Force × Distance × cos(angle)
In this case, since the force and the displacement are in the same direction, we only need to consider the magnitude of the force and the angle between the force and the displacement.
Let's calculate the work done by the thrust of the skis:
Work = 210 N × 51.0 m × cos(11.0 °)
To calculate the cosine of the angle, we need to convert the angle from degrees to radians:
Angle in radians = Angle in degrees × (π / 180)
Angle in radians = 11.0 ° × (π / 180) ≈ 0.192 radians
Now we can calculate the work:
Work = 210 N × 51.0 m × cos(0.192 radians)
Work ≈ 210 N × 51.0 m × 0.982
Work ≈ 10,627.82 Joules
Therefore, the work done by the thrust of the skis is approximately 10,627.82 Joules.