### Determine magnitude of the force

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##### Reference no: EM134006

Question1

A bicycle and its rider together have a mass of 86 kg. What power output of the rider is required to maintain a constant speed of 3.6 m/s (about 8.1 mph) up a 5.0 percent grade (a road that rises 5.0 m for every 100 m along the pavement)? Assume that frictional losses of energy are negligible.

Question2

a) estimate pressure exerted in your hand if you hold up a 15 pound box of apples? Calculate approximately the area of your hand in square inches assuming it’s a rectangle (such as my hand is about 4 in x 6 in).

b) What pressure is exerted at bottom of a tube of mercury 15 cm high? The density of mercury is 13,600 Kg/m3.

Question3

A man pushes on a piano with mass 150 so that it slides at constant velocity down a ramp that is inclined at 16.8 above horizontal floor. Ignore any friction acting on piano. Determine magnitude of the force if the man pushes parallel to the incline and if that man pushes parallel to the floor.

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