Answered

Learning Goal: To practice Problem-Solving Strategy 8.1 for circular-motion problems. A cyclist competes in a one-lap race around a flat, circular course of radius 140 m . Starting from rest and speeding up at a constant rate throughout the race, the cyclist covers the entire course in 60 s . The mass of the bicycle (including the rider) is 76 kg . What is the magnitude of the net force Fnet acting on the bicycle as it crosses the finish line?
A)
Which of the following sets of rtz coordinate axes is the most appropriate for this problem? The black dot represents the bicycle + rider at an arbitrary instant during the race.



Answer :

The magnitude of the net force on the bicycle as it crosses the finish line is 1.26 N.

Here, we have been told that the radius of the course, r is = 140 m (i)

The time taken to cover the entire course is = 60 s (ii)

The mass of the bicycle is = 76 kg (iii)

We know the formula = a = v²/r. Using this formula and the values of (i), (ii), and (iii), we get -

= a = Δv/Δt = v - 0/60

= v = 1.53 m/s

Nt force due to weight and normal force are canceled. But the force due to the centripetal acceleration is -

= mv²/r

= 76*(1.53)²/140

= 1.26 N

Learn to know more about Centripetal force on

https://brainly.com/question/11324711?referrer=searchResults

#SPJ4

Other Questions