Suppose a 200-kg motorcycle has two wheels like, the one described in Problem 10.15 and is heading toward a hill at a speed of 30.0 m/s.

(a) How high can it coast up the hill, if you neglect friction? 

(b) How much energy is lost to friction if the motorcycle only gains an altitude of 35.0 m before coming to rest?

Data given in Problem 15

Consider the 12.0 kg motorcycle wheel shown in Figure 10.36. Assume it to be approximately an annular ring with an inner radius of 0.280 m and an outer radius of 0.330 m. The motorcycle is on its center stand, so that the wheel can spin freely.

(a) If the drive chain exerts a force of 2200 N at a radius of 5.00 cm, what is the angular acceleration of the wheel?

(b) What is the tangential acceleration of a point on the outer edge of the tire?

(c) How long, starting from rest, does it take to reach an angular velocity of 80.0 rad/s?

Transcribed Image Text:

R₁