please help i have to turn this in by 10PM a bucket of mass 2.20 kg is whirled in a vertical circle of radius 1.55 m. At the lowest point of its motion the tension in the rope supporting the bucket is 28.0 N.

what is the question??

thats the ? as far as i know my girl needs it and that's all she told me

all i know is that i got 28mins. to get the answer and i have no luck so far

To solve this problem, we can use the concept of centripetal force and analyze the forces acting on the bucket at the lowest point of its motion. Here's how to do it:

1. Identify the forces: At the lowest point of the motion, there are two forces acting on the bucket: tension (T) and the gravitational force (mg).

2. Determine the direction of the forces: The direction of the gravitational force is downwards (opposite to the tension force direction).

3. Set up the equation of forces: As the bucket is moving in a vertical circle, the net force acting towards the center of the circle should provide the centripetal force required to keep the bucket in circular motion. Hence, we have the equation: T - mg = Fc, where T is tension, mg is the gravitational force, and Fc is the centripetal force.

4. Calculate the gravitational force: The gravitational force can be calculated using the formula: Fg = mg, where m is the mass of the bucket and g is the acceleration due to gravity. In this case, the mass of the bucket is given as 2.20 kg.

5. Calculate the centripetal force: The centripetal force can be calculated using the formula: Fc = mv^2 / r, where m is the mass of the bucket, v is the velocity of the bucket, and r is the radius of the circular motion. In this case, the radius is given as 1.55 m.

6. Rearrange and substitute: Plug in the given values into the equation T - mg = Fc and solve for the tension force (T): T = mg + Fc.

7. Calculate the gravitational force and centripetal force: Use the values of mass (2.20 kg), radius (1.55 m), and acceleration due to gravity (approximately 9.8 m/s^2) to calculate the gravitational force (mg) and centripetal force (Fc).

8. Substitute the calculated values of mg and Fc into the equation T = mg + Fc.

By following these steps, you should be able to calculate the tension in the rope supporting the bucket at the lowest point of its motion.