Question

A wrecking ball has a mass of 650 kg. it swings from a cable that is 21 m long. the centripetal force on the ball is 56 n. what is the tangential speed of the wrecking ball?

Answer 1

The correct answer was A "1.3 m/s"

Answer 2

1.35 m/s

Step-by-step explanation:

The centripetal force on the ball is given by:

`F=m(v^2)/(r)`

where

m=650 kg is the mass of the ball

v is the tangential speed

r=21 m is the length of the cable (which is the radius of the circular path of the ball)

F=56 N is the centripetal force

By re-arranging the equation, we can calculate the tangential speed of the ball:

`v=\sqrt{(Fr)/(m)}=\sqrt{((56 N)(21 m))/(650 kg)}=1.35 m/s`