Josh has a toy car of mass 3 kg tied to a string of length 2 m. he ties the string to a pole and has the toy car drive in a circle around the pole at a speed of 3 m/s.

a. what is the centripetal acceleration of the car?

b. if the tension in the string exceeds 50 n, the string will break. how fast can he make the car go without breaking the string?

Part a)

Centripetal acceleration is defined as

now here we know that

m = 3 kg

now from above formula we have

Part b)

Maximum possible tension in the string is given as

now by force equation we have

now again by above formula

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach