Q.

A heavy ball is suspended from the ceiling of a motor car through a light string. A transverse pulse travels at speed of  60 cm/sec on the string when the car is at rest and  62 cm/sec  when the car accelerates on a horizontal road.  The acceleration of the car is _________m/sec2.

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answer is 0003.65.

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Detailed Solution

Initially , T = mg Finally , T1=mg2+ma2=mg2+a2  Given   : V = 60 cm/sec ,  V1=62 cm/sec  We know, V=Tμ ∴V1V=T1T ⇒6260=mg2+a21/2mg ⇒1+260=1+a2g21/4 ⇒1+1304=1+a2g2 ⇒1+430=1+a2g2 ⇒a2=215g2 ⇒a=215×g ⇒a=3.65 m/sec2
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A heavy ball is suspended from the ceiling of a motor car through a light string. A transverse pulse travels at speed of  60 cm/sec on the string when the car is at rest and  62 cm/sec  when the car accelerates on a horizontal road.  The acceleration of the car is _________m/sec2.