A ball is suspended on a thread from the ceiling of a car. The brakes are applied and the speed of car changes from 5m/s to 53m/s during the time interval of 3 seconds. Find the angle that the thread with the ball will be deviated from vertical.(g=10 m/s2)

a=5/3−53=−109m/s2tan⁡θ=FpFg=|ma||mg|=19

A ball is suspended on a thread from the ceiling of a car. The brakes are applied and the speed of car changes from 5m/s to 53m/s during the time interval of 3 seconds. Find the angle that the thread with the ball will be deviated from vertical.(g=10 m/s2)

a=5/3−53=−109m/s2tan⁡θ=FpFg=|ma||mg|=19

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A ball is suspended on a thread from the ceiling of a car. The brakes are applied and the speed of car changes from $5 m / s$ to $\frac{5}{3} m / s$ during the time interval of 3 seconds. Find the angle that the thread with the ball will be deviated from vertical.(g=10 m/s²)

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$θ = \sin^{- 1} (\frac{1}{9})$

$θ = \tan^{- 1} (\frac{1}{9})$

$θ = \cos^{- 1} (\frac{1}{9})$

$θ = \tan^{- 1} (\frac{8}{9})$

answer is A.

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Detailed Solution

$a = \frac{5 / 3 - 5}{3} = \frac{- 10}{9} m / s^{2}$

$\tan θ = \frac{F_{p}}{F_{g}} = \frac{| m a |}{| m g |} = \frac{1}{9}$

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A ball is suspended on a thread from the ceiling of a car. The brakes are applied and the speed of car changes from 5m/s to 53m/s during the time interval of 3 seconds. Find the angle that the thread with the ball will be deviated from vertical.(g=10 m/s2)

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A ball is suspended on a thread from the ceiling of a car. The brakes are applied and the speed of car changes from $5 m / s$ to $\frac{5}{3} m / s$ during the time interval of 3 seconds. Find the angle that the thread with the ball will be deviated from vertical.(g=10 m/s²)