Question

In: Physics

A ball travels around a circular track with a circumference of 0.850m every 2.50s. What is...

A ball travels around a circular track with a circumference of 0.850m every 2.50s. What is the tangential velocity of the ball?

0.340m/s

3.35m/s

2.94m/s

1.65m/s

A little girl sits on a merry-go-round horse. The radius of the horse's path is 10.0m and it is spinning at 3.00m/s. The net centripetal force on the girl is 13.5N. What is the girl's mass?

45.0kg

109kg

15.0kg

12.2kg

Expert Solution

Q1:

Circumference of the circular track, d = 0.850 m

The ball completes the circular track in t = 2.50 s

i.e. the ball travels d=0.850 m in t = 2.50 s.

Tangential velocity of the ball, v = ( d / t) = ( 0.850 / 2.50 ) = 0.340 m/s (Ans)

Correct option: (i)

Q2:

Let the mass of the girl be m.

radius of the circular path, r = 10.0 m

speed of the merry-go-round horse , v = 3.00 m/s

The net centripetal force on the girl, F_c = 13.5 N

Now, F_c = ( mv² / r )

m = (F_c * r / v² ) = ( 13.5 * 10.0 / ( 3.00)²) = 15.0 kg

Correct option: (iii)

genius_generous answered 2 years ago

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