a skier of mass 70.0kg is pulled up a slope by a motor-driven cable. How much work is required to pull the skier 60.0 m up a 35.0 degree slope (assumed to be frictionless) at a constant speed of 2.0m/s? The Value of g is 9.81 m/s^2?
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To calculate the work required to pull the skier up the slope, we can use the formula:
Work = Force x Distance x Cosine(theta)
First, let's calculate the force required to pull the skier up the slope. The force can be determined using Newton's second law:
Force = Mass x Acceleration
Since the skier is moving at a constant speed of 2.0 m/s, the acceleration is zero (because there is no change in velocity). Therefore, the force required is:
Force = Mass x Acceleration = 70.0 kg x 0 = 0 N
Since the slope is assumed to be frictionless, there is no force opposing the motion of the skier.
Now, let's calculate the work:
Work = Force x Distance x Cosine(theta)
Since the force is zero, the work required is also zero.
Therefore, no work is required to pull the skier up the slope.