1.) A small body of mass 0.49 kg is attached by a 0.50 m long cord to a pin set

Question

1.) A small body of mass 0.49 kg is attached by a 0.50 m long cord to a pin set into the surface of a frictionless table top. The body moves in a circle on the horizontal surface with a speed of 1.8? m/s.

(a) What is the magnitude of the radial acceleration of the body?
_________________m/s2

(b) What is the tension in the cord?
_________________N

2.)A soccer ball of diameter 33 cm rolls without slipping at a linear speed of 2.9 m/s. Through how many revolutions has the soccer ball turned as it moves a linear distance of 17 m?

_________________rev

Explanation / Answer

horizontal surface with a speed of 1.8? m/s

so radial acceleration of the body=V2/r=(1.8?)2/0.50 == 63.9550368 m/s2

the tension in the cord=m*a=0.49*63.9550368= 31.337968 N

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