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Answer :
The magnitude of the radial force on the mass can be calculated using the formula:
Fr = mrω²
Where Fr is the magnitude of the radial force, m is the mass, r is the radius of the circular path, and ω is the angular speed.
In this case, we know that the mass is 4.00 kg and the angular speed is 5.00 rad/sec. To find the radius of the circular path, we can use the formula for linear speed:
v = ωr
Where v is the linear speed and r is the radius.
We know that the linear speed is 5.00 m/sec and the angular speed is 5.00 rad/sec, so we can plug these values in and solve for r:
5.00 m/sec = 5.00 rad/sec x r
r = 1.00 m
Now we can plug in the values for m, ω, and r into the formula for the magnitude of the radial force:
Fr = (4.00 kg) x (5.00 rad/sec)² x (1.00 m)
Fr = 100 N
Therefore, the magnitude of the radial force on the mass is 100 N.
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