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# You and your bicycle have combined mass 80.0 kg. When you ISBN: 9780321675460 31

## Solution for problem 78P Chapter 6

University Physics | 13th Edition

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Problem 78P

You and your bicycle have combined mass 80.0 kg. When you reach the base of a bridge, you are traveling along the road at 5.00 m/s (?Fig. P6.74?). At the top of the bridge, you have climbed a vertical distance of 5.20 m and slowed to 1.50 m/s. Ignore work done by friction and any inefficiency in the bike or your legs. (a) What is the total work done on you and your bicycle when you go from the base to the top of the bridge? (b) How much work have you done with the force you apply to the pedals? Fig. P6.74

Step-by-Step Solution:

Solution 78P Step 1 of 5: Here we need to calculate the work done on the bicycle and me to go from base to top of bridge using the mass of the bicycle including me m= 80 kg, with initial speed at base v i = 5 m/s and final speed at the top of bridge is v =1.5 f/s which is at a height h= 5.2 m from ground. Given data, Mass, m= 80 kg Initial speed, v i 5 m/s Final speed, v =f1.5 m/s Height, h= 5.2 m To find, (a) Total work done in moving to the top of bridge, W= (b) Total work done on the pedal in moving to the top of bridge, W= Step 2 of 5: (a) W hat is the total work done on you and your bicycle when you go from the base to the top of the bridge The total work done from work energy theorem is given by the change in kinetic energy. W=KE W=KE KE f i 1 2 Using KE= mv 2 W= mv mv2 1 2 2 f 2 i 1 2 2 W= m(2 v f i Step 3 of 5: Substituting m= 80 kg, v =i5 m/s and v = 1f5 m/s 1 2 2 W= (82 kg)[(1.5 m/s) (5 m/s ) ] W= (82 kg)[ 22.75] W= -910 J Therefore, the total work done on the bicycle and me while moving from base to top of bridge is found to be - 910 J.

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Step 5 of 5

##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 78P from 6 chapter was answered, more than 951 students have viewed the full step-by-step answer. This full solution covers the following key subjects: work, done, bridge, fig, bicycle. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 78P from chapter: 6 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “You and your bicycle have combined mass 80.0 kg. When you reach the base of a bridge, you are traveling along the road at 5.00 m/s (?Fig. P6.74?). At the top of the bridge, you have climbed a vertical distance of 5.20 m and slowed to 1.50 m/s. Ignore work done by friction and any inefficiency in the bike or your legs. (a) What is the total work done on you and your bicycle when you go from the base to the top of the bridge? (b) How much work have you done with the force you apply to the pedals? Fig. P6.74” is broken down into a number of easy to follow steps, and 103 words.

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