A mother pushes her child on a swing so that his speed is 9.00 m/s at the lowest point of his path. The swing is suspended 2.00 m above the child’s center of mass. (a) What is the magnitude of the centripetal acceleration of the child at the low point? (b) What is the magnitude of the force the child exerts on the seat if his mass is 18.0 kg? (c) What is unreasonable about these results? (d) Which premises are unreasonable or inconsistent?

Q: A 515kg roller coaster is at the bottom of a loop with a radius of 10 m. If the speed at bottom of…

A: Given that,    Mass (m) = 515 kg   radius (r) =10m.     Speed at the bottum is 20m/s.

Q: On a highway curve with radius 44 m, the maximum force of static friction (centripetal force) that…

A: Given : Radius of a curve (r) = 44 m Mass of a car (m) = 1173 kg Maximum frictional force (Fc) =…

Q: A tetherball has a mass of 0.4kg and is attached to a string of length L=1.5 m. The string is…

A: mass = 0.4 kg L = 1.5 m θ = 58ow = 3.5 rad/s

Q: A rollercoaster rolls thru a vertical circular loop with a radius of 28 m. Find the minimum speed at…

A:

Q: An object of mass 1.0 kg moves in a circle of radius 1.0 m at constant speed of 2.0 m/s. Find the…

A: The expression for the work done is W=∫F·ds In this case the centripetal force is given by F=mv2r…

Q: A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down.…

A: Given: R=13.2 m g=9.81 m/s

Q: A 1 kg block is attached to vertical rod by means of two strings. When the system rotates about the…

A: Given : m = 1 kg T1 = 100 N g = 10 m/s2

Q: The small collar of mass m = 0.55 kg is released from rest at A and slides down the curved rod in…

A: Given m=0.55kg  B=0.76m h=1.25 In the question we using energy balance equation We have to find the…

Q: A ball attached to a string is swinged circularly in vertical plane as shown in figure. Given the…

A: Given(s): The mass of the ball, m=320 g=0.32 kg Radius, r=1.20 m

Q: A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down.…

A: Given : Radius of a loop (r) = 13.2 m

Q: It has been suggested that rotating cylinders about 17.0 mi long and 4.55 mi in diameter be placed…

A:

Q: what is the minimum height h in meters of a slope that must be constructed in order for a rider in…

A:

Q: A Stone Age hunter stands on a cliff overlooking a flat plain. He places a 1.0 kg rock in a sling,…

A: Let m denote the mass of the rock, r denote the length of the vine, v denote the maximum linear…

Q: You are designing the section of a roller coaster ride shown in the figure. Previous sections of the…

A: Given data: Speed of the train, v=10.7 m/s Height above the ground, h=37.5 m Acceleration at the top…

Q: Answer the follwing questions The bobsled track at the 1994 Olympics contained turn with…

A:

Q: The car's mass is M = 0.6 kg and the radius of the hill is R= 0.4 m. The car's kinetic energy at the…

A:

Q: A 7.2×10−2-kg toy airplane is tied to the ceiling with a string. When the airplane's motor is…

A: mass , m = 7.2 x 10-2 kg Speed , v = 4.1 m/s Radius , r = 1.5 m To find = a) Angle made by the…

Q: It has been suggested that rotating cylinders about 16.5 mi long and 3.60 mi in diameter be placed…

A:

Q: A 45.7-kg boy on a swing moves in a circular arc of radius 3.80 m. At the lowest position, the…

A:

Q: 4.15 PQ For a rotating body, is the acceleration toward the center of rotation a centripetal or…

A: Answer:-  Centripetal acceleration :- The acceleration of a body traversing in a circular path.…

Q: A puck is sliding around a circular track that is banked at an angle o with respect to the…

A:

Q: The "Giant Swing" at a county fair consists of a vertical central shaft with horizontal arms…

A:

Q: An object weighing 15 N swings at the end of a rope that is 0.86 m long as a simple pendulum. At the…

A: The net force on the object will be the difference of the downwards and upward forces acting on it.…

Q: If the jet is moving at a speed of 840 km/h at the lowest point of the loop, determine the minimum…

A: Given data: Speed of the get (v) = 840 km/h                                  =840*(5/18) m/s…

Q: A skateboarder enters a loop the loop with a radius of 3 meters. His velocity is 17m/s. What is his…

A: Required : Speed of the skateboarder.

Q: Consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor…

A: Given that a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor…

Q: You are designing the section of a roller coaster ride shown in the figure. Previous sections of the…

A: Given: The speed of train (v) = 10.7 m/s. Initial height of train (h) = 36.7 m.

Q: A bobsled travels along a frictionless track. It crosses the starting line with a speed of v0=3.1…

A:

Q: A 2.00X103kg car rounds a circular turn of radius20,0 m. If the road is flat and the coefficient of…

A: For no skid condition, the friction force will be equal to the centrifugal force, Ff=mv2R

Q: For the normal force in the drawing to have the same magnitude at all points on the vertical track,…

A:

Q: The block in the figure is given a push up the incline so that its initial velocity is 3.00 m/s.…

A:

Q: a 0.05 KN ball is placed on a vertical circle whose length of the cord is 1.80m. compute the height…

A: Given that: Weight of the ball: W=0.05 kN=50 NLength of the cord: L=1.80 mMaximum tension in the…

Q: A roller coaster has a circular loop with a diameter (height) of 39 meters. When the coaster is…

A:

Q: The turnbuckle is tightened until the tension T in cable AB is 3.6 kN. 1.6 m 2 m 1.5 m 0.8 m B

A: We have OA→=1.6i+2k and the tension T→=3.6×1030.8i+1.5j-2k0.82+1.52+22=3.6×1036.890.8i+1.5j-2k N

Q: A cruise ship of mass, m, is navigating around a circular path of radius, r, at a constant velocity…

A:

Q: In addition to their remarkable top speeds, she does have impressive cornering abilities. In one…

A: Given that - Mass of the cheetah Force given by the cheetah claws   To Find - We have to…

Q: What speed

A:

Q: A motorcyclist performs uniform circular motion on a globe of death with a radius of 4.00 m. It has…

A: Given, Radius of globe of death ,r = 4.0 m  Speed ,v = 10.9 m/s  Mass = 200 kg  g = 10.0 m/s2

Q: A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down.…

A:

Q: In the game of tetherball, a ball is hung from a vertical pole via a 0.75m rope. The rope is allowed…

A: Solution: Given that L = 0.75 m angle = 30 dgree

Q: QUESTION 12 A particularly scary roller coaster contains a loop-the-loop in which the car and rider…

A: Given information: The radius of the roller coaster loop, r=15.9 m

Q: A toy car with a mass of 0.150kg goes through the top of a loop the loop with a radius of 0.300m…

A:

Q: In Example 4.6, we found the centripetal acceleration of the Earth as it revolves around the Sun.…

A:

Q: t has been suggested that rotating cylinders about 20.0 mi long and 5.49 mi in diameter be placed in…

A: Radius of the cylinder, r = 20.0 mi = 1609×20 m = 32180 m Centripetal acceleration = Free-fall…

Q: A child is playing with a car track, which has a loop of radius 14 cm as shown in the figure, when…

A:

Q: An owner of a speedboat loves high speed but doesn't want to go anywhere. So he tethers the…

A:

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.