Answer:
F = m × a
where F is the centripetal force, m is the mass of the object, and a is the acceleration of the object.
The acceleration of an object moving in a circle is given by:
a = v² / r
where v is the velocity of the object and r is the radius of the circle.
Since we are spinning both objects at the same speed, their velocities will be equal. Therefore, we can write:
a = v² / r = constant
This means that the acceleration of both objects will be the same. Since the mass of the 8 kg object is twice that of the 4 kg object, it will require four newtons of force to spin it in a circle.
Step-by-step explanation:
If it takes two newtons of force to spin a 4 kg object in a circle, we can use the formula for centripetal force to calculate the force required to spin an 8 kg object. The formula for centripetal force is: