8.A Problem 8.30 x previous 4 of 6 next Problem 8.30 Part B What is the tangenti

Question

8.A Problem 8.30 x previous 4 of 6 next Problem 8.30 Part B What is the tangential acceleration (i.e., the acceleration parallel to the road) of car B? Express your answer with the appropriate units. Three cars are driving at 29.0 m/s along the road shown in the figure (Figure 1. Car B is at the bottom of the hill and car C is at the top. Suppose each car suddenly brakes hard and starts to skid. Assume 1.00 25.92m Submit My Answers Give Up Incorrect; Try Again; 3 attempts remaining Part C What is the tangential acceleration (i.e., the acceleration parallel to the road) of car C? Express your answer with the appropriate units. | Figure 1 |ofl 0 7.155 200 m r-200 m Submit MyAnswer GiveUp 0 Incorrect; Try Again; 5 attempts remaining

Explanation / Answer

Part B

car B: N will be enhanced by following the shape of the bottom of the hill.

N = m*g + m*v^2/r

So Ff = mew*(m*g + m*v^2/r)

and again Ff = m*a

so,

m*a = 1*(mg + m*v^2/r)

a = g + v^2/r

   = 9.81 + (29^2/200) = 14.015 m/s2

Part C

car C: N will be decreased by following the shape of the top of the hill.

N = m*g - m*v^2/r

So Ff = mu*(m*g - m*v^2/r)

and again Ff = m*a

so,

m*a = 1*(mg - m*v^2/r)

a = g - v^2/r

   = 9.81 – (29^2/200) = 5.605 m/s2

For both, the direction will be negative (-).

Try with negative values first.

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