a spring balance is tied to a massless inextenxible string a small object of mass 60kg is attached to the hook of the spring balance. this system is now whirled about a vertical axis so that object performs ucm with centripetal acceleration/21m/s^2.thespring balance will now read?
the force will now read: 60kg*(21/9.8)
"a small object of 60kg)"
Here in my part of the world, that is not a small object to be tided to as sting. I would love to have some of that string to go deep see fishing with.
To determine the reading on the spring balance, we need to consider the forces acting on the object.
In this scenario, the object is performing Uniform Circular Motion (UCM) with a centripetal acceleration of 21 m/s^2. The centripetal force required for UCM is given by the equation:
F_c = m * a_c
where F_c is the centripetal force, m is the mass of the object, and a_c is the centripetal acceleration.
Since we are asked to find the reading on the spring balance, we know that this force must be equal to the reading on the spring balance, as the spring balance measures the magnitude of the force applied to it.
Therefore, the reading on the spring balance would be:
Reading = F_c = m * a_c
Given the mass of the object is 60 kg and the centripetal acceleration is 21 m/s^2, we can substitute these values into the equation to find the reading on the spring balance:
Reading = 60 kg * 21 m/s^2 = 1260 N
Therefore, the spring balance will read 1260 N.