a 100 g ball moves in a vertical circle on a 1.07 m-long string. if the speed at the top is 3.90 m/s, then the speed at the bottom will be 7.56 m/s. a) What is the gravitational force acting on the ball? b)What is the tension in the string when the ball is at the top?



Answer :

(a) The gravitational force is 980 N

(b) The tension in the string is 441.49 N

Given : Mass of the ball = 100 gram

Length of the string = 1.07 m

the acceleration = 9.8 [tex]m/s^2[/tex]

(a) The gravitational force ;

W = mg

this implies W = (100)( 9.8)

W = 980 N

thus the gravitational force is 980 N

(b) The tension can be calculated by adding the gravitational force and equating it to the mv^2/r

W + T = [tex]\frac{mv^2}{r}[/tex]

W + T = [tex]\frac{100 X 3.9^2}{1.07}[/tex]

980 + T = 1421.49

T = 1421.49 - 980

this implies T = 441.49 N

thus tension = 441.49 N

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