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maksim [4K]
4 years ago
7

Find the maximum speed with which a car can round a curve that has a radius of 80 m without slipping if the road is unbanked and

the coefficient of
friction between the road and the tires is 0.81.
20.8 m/s
25.2 m/s
44.3 m/s
30.6 m/s
Physics
1 answer:
Deffense [45]4 years ago
6 0

Answer:

25.2 m/s

Explanation:

∑F = ma

Nμ = m v² / r

mgμ = m v² / r

gμ = v² / r

(9.8 m/s²) (0.81) = v² / 80 m

v = 25.2 m/s

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Answer:

The average acceleration of the bearings is 0.77\times10^{3}\ m/s^2

Explanation:

Given that,

Height = 1.94  m

Bounced height = 1.48 m

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Velocity of the ball bearing just before hitting the steel plate

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mgh=\dfrac{1}{2}mv^2

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v=\sqrt{2\times9.8\times1.94}

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Negative as it is directed downwards

After bounce back,

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Using conservation of energy

mgh=\dfrac{1}{2}mv^2'

Put the value into the formula

9.8\times1.48=\dfrac{1}{2}\times v^2'

v'=\sqrt{2\times9.8\times1.48}

v'=5.38\ m/s

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Using formula of acceleration

a=\dfrac{v-v'}{t}

Put the value into the formula

a=\dfrac{5.38-(-6.166)}{14.86\times10^{-3}}

a=776.98\ m/s^2

a=0.77\times10^{3}\ m/s^2

Hence,The average acceleration of the bearings is 0.77\times10^{3}\ m/s^2

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