1. The force component along the displacement varies with the magnitude of the d

Question

1. The force component along the displacement varies with the magnitude of the displacement, as shown in the graph. Find the work done by the force in the interval from (a) 0 to 0.9 m, (b) 1.0 to 2.0 m, and (c) 2.0 to 3.5 m. (Note: In the last interval the force component is negative, so the work is negative.)

2. In 1.54 minutes, a ski lift raises four skiers at constant speed to a height of 148 m. The average mass of each skier is 74.8 kg. What is the average power provided by the tension in the cable pulling the lift?

3. The drawing shows a skateboarder moving at 5.30 m/s along a horizontal section of a track that is slanted upward by = 55.0° above the horizontal at its end, which is 0.540 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track. (NOTE ANSWER ISN'T 1.96m)

Explanation / Answer

b) Power = F x V

f = mg , velocity = height / time

4 ( 74.8 x 9.8) ( 148/ 1.54x 60 ) = 4696.53 watts apprx

3) using the conservation f energy to find velocity at 0.54 m

1/2 ( 5.30)^2 = (9.8 x 0.54) + 1/ 2 v^2

1/2v^2= 14.045 - 5.292

v = 4.184 m/s apprx

max height = ( 4.184 sin 55)^2/ 19.6 = 0.599 m ( max height)

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