Question

An object of mass 400g attached to the end of a string is whirled round in a horizontal circle of radius 2m with with a constant speed of 8m/s. calculate centripental force of the object

Answer 1

The centripetal force exerted on the object is calculated to be 12.8 Newtons using the formula Fc = m*v²/r, with the given mass, velocity, and radius.

Step-by-step explanation:

The question involves calculating the centripetal force exerted on an object moving in uniform circular motion. To find the centripetal force, we use the formula Fc = m*v²/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path. In this case, we've been given the mass m as 400 grams (which we need to convert to kilograms by dividing by 1000 to use SI units), a velocity v of 8 m/s, and a radius r of 2 meters.

First, convert the mass to kilograms: m = 400g = 0.4 kg. Then, apply the values to the centripetal force formula:

Fc = (0.4 kg) * (8 m/s)² / (2 m)

Fc = (0.4 kg) * 64 m²/s² / (2 m)

Fc = (0.4 kg) * 32 N

Fc = 12.8 N

Therefore, the centripetal force exerted on the object is 12.8 Newtons.