15. A bicycle rider with a mass of m, rides a bicycle with mass of mb, for a dis

Question

15. A bicycle rider with a mass of m, rides a bicycle with mass of mb, for a distance d up a hill set at an angle of to the horizontal. When he reaches the top he has achieved a true height of h relative to his starting point. If g is the acceleration due to gravity, which of the following expressions describe the work done by the rider in riding up the hill? (Ignore friction).

A) (m 2 + mb 2 ) (cos)

B) (m + mb)(g)(d)

C) (m)(g)(cos)(d)

D) (g)(h)(m + mb)

16. If the rider described in the previous question turns around and coasts downward along the incline, what will be the normal force exerted on his bicycle?

A) (m)(g)(sin)

B) (m)(g)(h)

C) (cos)(m g + mb g)

D) () 2 (g) 2 (m + mb)

Explanation / Answer

15)

let,

mass of the rider is m

mass of the bicycle is mb

work done =P.E

W=m_total*g*h

W=(m+mb)*g*h

hence correct option is D

16)

Normal force N=m_total*g*cos(theta)

N=(m+mb)g*cos(theta)

N=(m*g+mb*g)*cos(theta)

correct option is C

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