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Arte-miy333 [17]
3 years ago
6

Aaron's normal response time to apply the car brakes is 0.7 seconds. Aaron's response time doubles when he is tired. How far wil

l Aaron's car travel during the time it takes him to apply the brakes when his car is moving at 30 meters per second whe he is tired? Show the solution.
Physics
1 answer:
Likurg_2 [28]3 years ago
3 0

Aaron's car is moving at speed of 30 m/s

His reaction time is given as 0.7 s

but when he is tired the reaction time is doubled

Now we need to find the distance covered by his car when he is tired during the time when he react to apply brakes

So here since during this time speed is given as constant so we can say that distance covered can be product of speed and time

So here we can use

d = v*t

d = 30 * 1.4

d = 42 m

So the car will move to 42 m during the time when he apply brakes

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Answer:

Part a)

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Part b)

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Part c)

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Part a)

While bucket is falling downwards we have force equation of the bucket given as

mg - T = ma

for uniform cylinder we will have

TR = I\alpha

so we have

T = \frac{1}{2}MR^2(\frac{a}{R^2})

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now we have

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a = \frac{mg}{(\frac{M}{2} + m)}

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Part b)

speed of the bucket can be found using kinematics

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v_f^2 - v_i^2 = 2 a d

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v_f = 11.8 m/s

Part c)

now in order to find the time of fall we can use another equation

v_f - v_i = at

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Part d)

as we know that cylinder is at rest and not moving downwards

so here we can use force balance

F = T + Mg

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