A teacher connects a bowling ball to a rope that hangs from the ceiling. The teacher is about to release the ball from rest from a position such that the rope is initially horizontal and allow the ball to swing through its lowest point. Some students observing are concerned that the rope might break because the a tension greater than the weight of the ball. Student B is concerned that the rope is more likely to break if the rope is short. Student C, on the other hand, is concerned that the rope is more likely to break if the rope is long. Support each student's assertions with physical principles.

A teacher connects a bowling ball to a rope that hangs from the ceiling. The teacher is about to release the ball from rest from a position such that the rope is initially horizontal and allow the ball to swing through its lowest point. Some students observing are concerned that the rope might break because the a tension greater than the weight of the ball. Student B is concerned that the rope is more likely to break if the rope is short. Student C, on the other hand, is concerned that the rope is more likely to break if the rope is long. Support each student's assertions with physical principles.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

See similar textbooks

Similar questions

A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and finds that the air resistance, FD , is given by the formula FD = −bv, where b is a constant and v is the velocity. If b = 0.750, and the mass of the skydiver is 82.0 kg, first set up differential equations for the velocity and the position, and then find: (a) the speed of the skydiver when the parachute opens, (b) the distance fallen before the parachute opens, (c) the terminal velocity after the parachute opens (find the limiting velocity), and (d) the time the skydiver is in the air after the parachute opens.
You and your friend Peter are putting new shingles on a roof pitched at 25 ∘ . You're sitting on the very top of the roof when Peter, who is at the edge of the roof directly below you, 5.4 m away, asks you for the box of nails. Rather than carry the 2.5 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him. If the coefficient of kinetic friction between the box and the roof is 0.50, with what speed should you push the box to have it gently come to rest right at the edge of the roof?
A block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a distance d before hitting a spring and compresses the spring by a maximum distance of xf. If the coefficient of kinetic friction between the plane and block is uk, then what is the force constant of the spring?
Tarzan, who weighs 820 N, swings from a cliff at the end of a 20.0 m vine that hangs from a high tree limb and initially makes an angle of 22.0 with the vertical. Assume that an x axis extends horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 760 N. Just then, what are (a) the force on him from the vine in unit-vector notation and the net force on him (b) in unit-vector notation and as (c) a magnitude and (d) an angle relative to the positive direction of the x axis? What are the (e) magnitude and (f) angle of Tarzan’s acceleration just then?
What net external force is exerted on a 1.80*10^3 kg artillery shell fired if the shell accelerated at 2.55*10^4 m/s^2? a. What is the firce exerted on the artillery shell b. What is the force exerted on the ship?
Shown are the forces acting on the box. Which of the folllowing is true: Choices: P = f and N = Fg P = f and N >Fg none of these P >f and N f and N = Fg
Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in water is slowed by a viscous retarding force of magnitude bv2, where b is a constant, (a) Find and sketch v(t). How long does it take the boat to reach a speed of v0/l000? (b) Find x(t). How far does the boat travel in this time? Let m = 200 kg, v0 = 2 m/s, and b = 0.2 Nm-2s2.
The metal head of a hammer is loose. To tighten it, you drop the hammer down onto a table. Should you (a) drop the hammer with the handle end down, (b) drop the hammer with the head end down, or (c) do you get the same result either way?
A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg – kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places.
A certain spring has a force constant k. (a) If this spring is cutin half, does the resulting half spring have a force constant thatis greater than, less than, or equal to k? (b) If two of the originalfull-length springs are connected end to end, does the resultingdouble spring have a force constant that is greater than, less than,or equal to k?
There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)
What net external force is exerted on a 1.80*10^3 kg artillery shell fired from a battleship if the shell accelerated at 2.55*10^4 m/s^2? b. What is the force exerted on the ship?