Question

In: Physics

A ball is attached to a string and swung in a horizontal circle at a constant...

A ball is attached to a string and swung in a horizontal circle at a constant speed. Assume air resistance is negligible. If the string tripled in length but the speed of the ball remained the same, show mathematically how the inward force on the ball would change.

Solutions

Expert Solution


Related Solutions

A ball is tied to a string and whirled in a horizontal circle at a constant...
A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorize the following according to whether they are constant and zero in value, constant and non-zero in value, or non-constant in value: linear speed (scalar) linear velocity (vector) radial (centripetal) acceleration (scalar) radial (centripetal) acceleration (vector) angular speed (scalar) angular velocity (vector) angular acceleration (scalar) angular acceleration (vector)
1. A ball hanging from the ceiling by a string swings in a circle. If the...
1. A ball hanging from the ceiling by a string swings in a circle. If the radius of the circle it traces is 2 meters and its distance from the ceiling is 5 meters, what is the velocity of the ball? 2. Assuming an iced over road (no friction), if a car is going 25 m/s around a curve in the road of radius 75 meters, what is the perfect angle to bank the road so that the car stays...
An athlete swings a ball, connected to the end of a chain, in a horizontal circle....
An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 8rev/s when the length of the chain is 0.600m. when he increases the length to 0.900 m, he is able to rotate the ball 6.00 rev/s. (a) which rate of rotation gives the greater speed for the ball? (b) what is the centripetal acceleration of the ball at 8.00 rev/s? (c) what...
A ball of mass m is attached to a string of length L. It is swung...
A ball of mass m is attached to a string of length L. It is swung in a vertical circle with enough speed to keep the string taut throughout the motion. Assume the ball travels freely in the circle with negligible loss of mechanical energy. Determine if the following six statements are true or false; e.g., enter TTFFFF. The tension in the string is less at the top of the circle than at the bottom of the circle. The acceleration...
A 3.9 kg ball swings from a string in a vertical circle such that it has...
A 3.9 kg ball swings from a string in a vertical circle such that it has constant mechanical energy. Ignore any friction from the air or in the string. What is the difference in the tension between the lowest and highest points on the circle? Give a positive answer in N.
A 0.25kg ball moving in a horizontal cirlce at the end of a string has a...
A 0.25kg ball moving in a horizontal cirlce at the end of a string has a centripetal acceleration of 4m/s^2. What is the magnitude of the centripetal force exerted by the string on the ball to produce this acceleration?
A mass m1 on a horizontal shelf is attached by a thin string that passes over...
A mass m1 on a horizontal shelf is attached by a thin string that passes over a frictionless pulley to a 2.4 kg mass (m2) that hangs over the side of the shelf 1.2 m above the ground. The system is released from rest at t = 0 and the 2.4 kg mass strikes the ground at t = 0.86 s. The system is now placed in its initial position and a 1.2 kg mass is placed on top of...
A block with a mass M is attached to a horizontal spring with a spring constant...
A block with a mass M is attached to a horizontal spring with a spring constant k. Then attached to this block is a pendulum with a very light string holding a mass m attached to it. What are the two equations of motion? (b) What would these equations be if we assumed small x and φ? (Do note that these equations will turn out a little messy, and in fact, the two equations involve both variables (i.e. they are...
Calculate the centripetal force for a 0.50 kg ball on a string whirled in a horizontal...
Calculate the centripetal force for a 0.50 kg ball on a string whirled in a horizontal circle. The string is 0.50 m long. The ball makes 1 revolution per second. A spring with a spring constant of 60 N/m is compressed by a 20 N force.       a) How much was the spring compressed? b) How much work was done on the spring? A wooden crate sits on a wooden floor (µs = 0.6). The crate’s mass is 120 kg...
A 50.0 g object is attached to a horizontal spring with a force constant of 5.0...
A 50.0 g object is attached to a horizontal spring with a force constant of 5.0 N/m and released from rest with an amplitude of 20.0cm. What is the velocity of the object when it is halfway to the equilibrium position if the surface is frictionless? (please write out formula used)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT