23.2k views
2 votes
A 222 N force is required to keep an object moving along a circular path with a diameter of 11.6 m at a speed of 7.60 m/s. What is the mass of the object?

User Jocel
by
8.6k points

1 Answer

2 votes

Answer:


m=22.3\ kg

Step-by-step explanation:

The expression for centrifugal force is shown below as:-


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

Where, m is the mass of the object = ?

v is the velocity of the object = 7.60 m/s

r is the radius

F is the force = 222 N

Diamter = 11.6 m

Radius = d/2 = 11.6 m/2 = 5.8 m

Applying the values in the above expression as:-


222=\frac{m* {7.60}^2}{5.8}


57.76m=1287.6


m=22.3\ kg

User Torben Pi Jensen
by
9.4k points