A heavy ball of mass M hangs from the ceiling of a car by a light string of mass m M. With the car at rest the speed of transverse waves in the string is 60 m s⁻¹; when the car accelerates at a the speed rises to 60.5 m s⁻¹. The value of a, in terms of g, is closest to

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(1) /g5. The tension is M g_eff with g_eff=√g²+a², and v∝√g_eff. (g_eff)/g=((60.5)/(60))²=1.0167, so √1+(a²)/(g²)=1.0167. (a²)/(g²)=1.0167²-1=0.0337, giving a=0.184g≈/g5.

A heavy ball of mass M hangs from the ceiling of a car by a light string of mass m M. With the car at rest the speed of transverse waves in the string is 60 m s⁻¹; when the car accelerates at a the speed rises to 60.5 m s⁻¹. The value of a, in terms of g, is closest to

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