A heavy ball is suspended from the ceiling of a motor car through a light string. A transverse pulse travels at a speed of 60 cm s − 1 on the string when the car is at rest and 62 cm s − 1 when the car accelerates on a horizontal road. Find the acceleration of the car. Take g = 10 m s − 2 .

A heavy ball is suspended from the ceiling of a motor car through a light string. A transverse pulse travels at a speed of 60 cm s⁻¹ on the string when the car is at rest and 62 cm s⁻¹ when the car accelerates on a horizontal road. Find the acceleration of the car. Take g = 10 m s⁻².

37 m s⁻²

Let us assume the mass of the bob is m and the wire density is ρ.

At rest:

Tension,

The speed will be,

At motion:

Tension,

The speed will be,

Now,

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