a horizontal force of 60.0 N is exerted on a 2.00 kg discuss as it is rotated uniformily in a horizontal circle (at arm's length) at radius of 1.00 m. Calculate the s of the disuss
To calculate the speed of the discus, we can use the equation for centripetal force:
F = m * a
where F is the net force acting on the discus, m is the mass of the discus, and a is the centripetal acceleration.
In this case, the net force is provided by the horizontal force of 60.0 N, and the mass of the discus is 2.00 kg.
The centripetal force is given by:
F = m * a
a = F / m
Now, we need to calculate the centripetal acceleration (a). The centripetal acceleration is related to the speed (v) and the radius (r) of the circle by the equation:
a = v^2 / r
Therefore, we can substitute this equation into the previous equation:
v^2 / r = F / m
Next, we can rearrange the equation to solve for the speed (v):
v = sqrt(F * r / m)
Now, we can substitute the given values into the equation:
v = sqrt(60.0 N * 1.00 m / 2.00 kg)
v = sqrt(30.0 m^2/s^2)
Finally, we can calculate the speed:
v = 5.48 m/s (rounded to two decimal places)
Therefore, the speed of the discus is approximately 5.48 m/s.