A block with a mass of 3 kg is swung on a cord in a horizontal circle with a radius of 2m. the speed of the block is 6m/s^. the magnitude of the acceleration of the block is most nearly

Given Information:  

Mass = m = 3 kg

Speed = v = 6 m/s  

Radius = r = 2 m

Required Information:  

Magnitude of the acceleration = a = ?  

Magnitude of the acceleration = 18 m/s²

Explanation:

The acceleration of the block traveling along a circular path with some velocity is given by

a = v²/r

a = 6²/2

a = 36/2

a = 18 m/s²

Therefore, the magnitude of the acceleration of the block is most nearly equal to 18 m/s².

Bonus:

The corresponding force acting on the block can be found using

F = ma (a = v²/r)

F = mv²/r

it is called kinetic energy