Question

A toy cart at the end of a string 0.70 m long moves in a circle on a table. The cart has a mass of 2.0 kg, and the string has a breaking strength of 40N. (a) What is the centripetal acceleration of the car? (b) What is the maximum speed of the car?

Answer 1

list what we know:
Force tension of string is = Given in question
mass of object = Given in question

remember that:
force = mass*acceleration

Summing the forces will look like this:
Force Tension of string = Force cause by spinning (centripetal)
reword the equation now looks like this
Force tension of string = mass*acceleration(centripetal)

plug-in and go!


PART B
list what we know,
a = [part a answer]
tangent velocity = ? [solve for]
radius = Given in problem

the maximum speed can be found using the equation of centripetal acceleration:
a = (tangent velocity)^2 / radius

plug in and go!