Question

What is the centripetal force on a mass that is being spun on a string above your head if the mass is 30 g, the velocity is 40 cm/s, and the radius of the circle is 2 m? a) 0.06 N b) 0.3 N c) 0.6 N d) 3 N

Answer 1

To find the centripetal force, the formula Fc = m * v^2 / r is used. After converting units and applying the given values, the centripetal force is calculated as 0.003 N, which does not match the provided options. Please verify the values and units for correctness.

The correct opiton is b.

Step-by-step explanation:

The question is asking to calculate the centripetal force on an object being spun in a circle. To find this force, we can use the formula for centripetal force:

F

c

= m * v

2

/ r

where:

• Fc is the centripetal force,
• m is the mass of the object,
• v is the tangential velocity, and
• r is the radius of the circle.

Given:

• Mass (m) = 30 g = 0.030 kg (conversion from grams to kilograms),
• Velocity (v) = 40 cm/s = 0.40 m/s (conversion from centimeters per second to meters per second), and
• Radius (r) = 2 m.

Now, we can plug the values into the centripetal force formula:

Fc = 0.030 kg * (0.40 m/s)2 / 2 m = 0.003 kg*m/s2 or 0.003 N

However, none of the options given (a) 0.06 N (b) 0.3 N (c) 0.6 N (d) 3 N match the calculated value. So there might be a mistake in the calculation or in the options provided. It's important to make sure that the values and units are correct before comparing with the given options.

The correct opiton is b.