1. A group of students were being asked to verify the 0.300 kE relationships bet

Question

1. A group of students were being asked to verify the 0.300 kE relationships between centripetal force, radius, mass of a Tsbe stopper and the velocity of a rubber ball. The students were given the invention shown here. This invention consisted of a meter stick, a polished glass tube, a spring scale and some physics string. The rubber ball had a mass of 200 g. The student with the best rhythm was tasked to swing the bal around with constant speed in a horizontal circle as shown above. The circle with had a radius of 50 cm. Assuming there is negligible fiction and air resistance.. Spring Scale Not Necesarily To Scale a. Explain how the students could determine the speed of the ball using the information given above. Identify any other tools the students might need to do this. (3)

Explanation / Answer

a) The upward force acting on the spring is equal to magnitude of centripetal force.

Thus

Fs = Fc

k*x mv^2/r

Where k= spring constant

x= elongation in spring

m= mass of ball

v=velocity

r= radius

Plugging values of k,x,m and r we can find value of v

b)Use below figure,

c) By Newton’s second law

Fnet =ma

T=Fc = mv^2/r = 0.200*3.7^2/0.50 = 5.5 N

d) Percentage difference = [(actual value – calculate value)/ actual value]*100 = [(5.8-5.5)/5.8]*100 = 5.17%

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