a .2 kg ball is being swung around a verticle circle from a 1 m long string, the ball is traveling at 4 m/s counter -clockwise. what is the tension on the string?
To find the tension on the string, we can use the concept of centripetal force. In circular motion, the centripetal force is the force that keeps an object moving in a curved path. In this case, the tension in the string provides the centripetal force required to keep the ball moving in a circle.
The centripetal force can be calculated using the equation:
F = (m * v^2) / r
Where m is the mass of the ball, v is the velocity of the ball, and r is the radius of the circular path.
Given:
Mass of the ball (m) = 0.2 kg
Velocity of the ball (v) = 4 m/s
Radius of the circular path (r) = 1 m
Now, we can plug in the values into the equation:
F = (0.2 kg * (4 m/s)^2) / 1 m
F = (0.2 kg * 16 m^2/s^2) / 1 m
F = 3.2 kg m/s^2
Therefore, the tension on the string is 3.2 kg m/s^2, which is equal to 3.2 Newtons (N).