A pitcher exerts 100.0 N of force on a ball with a velocity of 45 m/s. What is the pitcher's power? A 50.0 kg sailor climbs a 28.3 m rope ladder at an angle of 45 degrees with the mast. How much work did he do? An inclined plane is 5.00 m long and 2.00 m high. What is the ideal mechanical advantage of this machine? A sailboat moves north for a distance of 10.00 km when blown by a wind 30 degrees east of south with a force of 5.00 x 10^4 N. How much work was done by the wind?

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Physics

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15 January, 00:19

A pitcher exerts 100.0 N of force on a ball with a velocity of 45 m/s. What is the pitcher's power? A 50.0 kg sailor climbs a 28.3 m rope ladder at an angle of 45 degrees with the mast. How much work did he do? An inclined plane is 5.00 m long and 2.00 m high. What is the ideal mechanical advantage of this machine? A sailboat moves north for a distance of 10.00 km when blown by a wind 30 degrees east of south with a force of 5.00 x 10^4 N. How much work was done by the wind?

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Kathryn Duffy · Answer 1

1) F = 100 N; v = 45 m/s;

P = F · v = 100 N · 45 m/s = 4,500 W = 4.5 kW

2) m = 50 kg;

W = m · g · h = 50 kg · 9.81 m/s² · 28.3 m · cos 45° = 13,881.15 · 0.71=

= 9,815.45 J

3) Ideal mechanical advantage = 5.00 m / 2.00 m = 2.50

4) W = F · s

s = 10 · cos 30° = 5 √3

F = 5 · 10^4 N

W = 5 · 10 ^4 N · 5 √3 m = 4.33 · 10^5 J