Physics Physics Practice Problems Solutions Library

Motion Along Curved Paths Solutions Library

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35 solutions

Motion Along Curved Paths

Q. A roller-coaster car may be represented by a block of mass 50.0 kg. The car is released from rest at a height h = 54.0m above the ground and slides...

Solved • May 26, 2020

Motion Along Curved Paths

Q. A ball is attached to a horizontal cord of length l whose other end is fixed .If the ball is released, what will be its speed at the lowest point o...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. The small mass m sliding without friction along the looped track shown in the figure is to remain on the track at all times, even at the very top o...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. Suppose the roller-coaster car in the figure passes point 1 with a speed of 3.10 m/s . If the average force of friction is equal to 0.23 of its wei...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A roller-coaster car shown in the figure is pulled up to point 1 where it is released from rest. Assuming no friction, calculate the speed at point...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. You are testing a new amusement park roller coaster with an empty car with a mass of 120 kg. One part of the track is a vertical loop with a ra...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A 25.0 kg child plays on a swing having support ropes that are 2.10 m long. A friend pulls her back until the ropes are 43.0 from the vertical a...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to form a pendulum. The pendulum is swinging so as to make a max...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A 0.325 kg potato is tied to a string with length 2.40 m , and the other end of the string is tied to a rigid support. The potato is held straigh...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A 350 kg roller coaster starts from rest at point exttip{A}{A} and slides down the frictionless loop-the-loop shown in the accompanying figure.Ho...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of 45 with the vertical, steps o...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A 95.0-kg mail bag hangs by a vertical rope 3.9 m long. A postal worker then displaces the bag to a position 2.9 m sideway...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A car in an amusement park ride rolls without friction around a track . The car starts from rest at point A at a height h above the bottom of t...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A 56.0 kg skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is one-quarter of a circle with a radius of 3.10 ...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A pendulum is formed from a small ball of mass exttip{m}{m} on a string of length exttip{L}{L}. As the figure shows, a peg is height exttip{...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A sled starts from rest at the top of the frictionless, hemispherical, snow-covered hill shown in the figure. Find an expression for the sleds spee...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A pendulum is made by tying a 510 g ball to a 47.0 cm -long string. The pendulum is pulled 24.0 to one side, then released. You may want to r...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A 20 kg child is on a swing that hangs from 3.2-m-long chains.You may want to review (Pages 234 - 238).For general problem-solving tips and strat...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A block of mass m slides down a frictionless track, then around the inside of a circular loop-the-loop of radius exttip{R}{R}.From what minimum he...

Solved • Oct 31, 2018

Motion Along Curved Paths

Q. A 400-N child is in a swing that is attached to a pair of ropes 2.00 m long. Find the gravitational potential energy of the child–Earth system rela...

Solved • Oct 19, 2018

Motion Along Curved Paths

Q. A ball of mass m = 300 g is connected by a strong string of length L = 80.0 cm to a pivot and held in place with the string vertical. A wind exerts...

Solved • Oct 18, 2018

Motion Along Curved Paths

Q. Jane, whose mass is 50.0 kg, needs to swing across a river (having width D) filled with person-eating crocodiles to save Tarzan from danger. She mu...

Solved • Oct 18, 2018

Motion Along Curved Paths

Q. A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the center of the circle. Assuming the to...

Solved • Oct 18, 2018

Motion Along Curved Paths

Q. A roller-coaster car shown in Figure P8.72 is released from rest from a height h and then moves freely with negligible friction. The roller-coaster...

Solved • Oct 18, 2018

Motion Along Curved Paths

Q. A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d belo...

Solved • Oct 18, 2018

Motion Along Curved Paths

Q. A light, rigid rod is 77.0 cm long. Its top end is pivoted on a frictionless, horizontal axle. The rod hangs straight down at rest with a small, ma...

Solved • Oct 15, 2018

Motion Along Curved Paths

Q. A block of mass m = 5.00 kg is released from point A and slides on the frictionless track shown in Figure P8.6. Determine(a) the block’s speed at p...

Solved • Oct 15, 2018

Motion Along Curved Paths

Q. A pendulum is released from rest at an angle of 40 o. If the pendulum is made of a light, 1 m string supporting a 2.5 kg bowling ball, what is the ...

Solved • Feb 21, 2017

Motion Along Curved Paths

Q. A 500 kg car carrying 200 kg of passengers on a rollercoaster encounters a stop on the track shown in the figure below. How high does the car have ...

Solved • Feb 20, 2017

Motion Along Curved Paths

Q. A 5 kg object undergoes uniform circular motion. If the object has a tangential speed of 15 m/s in a 0.7 m orbit and undergoes a 1/4 revolution, ho...

Solved • Feb 20, 2017

Motion Along Curved Paths

Q. One end of a 6.00 m long rope is tied to the ceiling. A small rock with mass 0.500 kg is tied to the other end of the rope. The rock is released fr...

Solved • Jan 30, 2017

Motion Along Curved Paths

Q. A 5.00 m long light rope is tied to the ceiling. A steel ball with mass 2.00 kg is attached to the lower end of the rope. The ball is pulled to one...

Solved • Jan 30, 2017

Motion Along Curved Paths

Q. A 240 kg roller coaster car starts from rest at point A and slides down the frictionless loop-the-loop shown in the accompanying figure. Point A is...

Solved • Jan 30, 2017

Motion Along Curved Paths

Q. A 240 kg roller coaster car starts from rest at point A and slides down the frictionless loop-the-loop shown in the accompanying figure. Point A is...

Solved • Jan 30, 2017

Motion Along Curved Paths

Q. A small rock of mass m is attached to a strong string and whirled in a vertical circle of radius R. When the rock is at the lowest point in its pat...

Solved • Jan 27, 2017