A light rope was wrapped around the cylinder, which can freely rotate around the axis passing through its center with mass Mand radius R, and passed over a pulley, which is considered to be massless and frictionless, and a mass of 4m was attached to its end and the system was released from the height h from rest. What is the speed of a 4m object when it hits the ground? (nder =Mr?)

Q: You are testing a new amusement park roller coaster with an empty car of mass 120 kg. One part of…

A: radius, r =12 m  mass, m =  120 kg  speed at top, v = 25 m/s speed at bottom, u = 8 m/s

Q: A 3.00-kg ball swings rapidly in a complete vertical circle of radius 2.00 m by a light string that…

A: Answer: The work done on it by gravity is -118J and the work done on it by the tension in the string…

Q: A 3.0-kg mass is sliding on a horizontal frictionless surface with a speed of 3.0 m/s when it…

A: Apply the conservation of momentum. mivi=mi+mfvf3×3=3+1vfvf=2.25 m/s

Q: To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle…

A: assume that the arm starts extended vertically down ward and take the elbow joint is the point at…

Q: Find the velocity of the bucket with a mass of m = 2.00 kg attached to a cylindrical pulley with a…

A: Applying the conservation of energy we can write, Potential energy drop of the bucket = Translation…

Q: Suppose a 180 kg motorcycle has two wheels and is heading toward a hill at a speed of 30.0 m/s.…

A:

Q: We can use rotating cylinder to store energy in space. Let a 10-meter-long cylinder with diameter…

A:

Q: A 20.0-kg child sitting 5.80 m from the center of a merry-go-round has a constant speed of 2.00 m/s.…

A: Given data The mass of the child is: m = 20 kg The radius of the center of rotation is: r = 5.80 m…

Q: A solid uniform sphere of radius .250 m and mass 45.0 kg rolls down a ramp of length 4.50 m that…

A:

Q: The turntable in a microwave oven has a moment of inertia of 0.038 kg⋅m2 and is rotating once every…

A: Given, moment of inertia =0.038 kg.m2time period T =5.0 secwe have to calculate the kinetic energy.

Q: A 6kg hoop 3m in diameter rolls down a plane inclined 40 degrees. At the bottom of the incline, what…

A:

Q: A rod of length L=3.00 m and negligible mass, that can pivot about one end to rotate in a vertical…

A:

Q: What energy transformations are involved when a dragster engine is revved, its clutch let out…

A: According to the law of conservation of energy,Energy can neither be created nor be destroyed but…

Q: Two masses, mAmA = 30.0 kgkg and mBmB = 39.0 kgkg are connected by a rope that hangs over a pulley…

A:

Q: A 5 kg disk with a radius of 6 cm is rolling on a level surface with a velocity of 7 m/s. What is…

A: mass of disk = 5 kg radius = 6 cm v = 7 m/s

Q: anical Energy to derive an ession for the instantaneous ty v of the cylinder at the bottom e…

A: rotational Kinetic energy = (1/2) Iw2 Moment of inertia of solid cylinder= (1/2) mr2

Q: In the figure below, a small block of mass m 4 kg can slide along the frictionless loop-the-loop,…

A: m = 4 kg R = 17 cm h = 6R

Q: A person is making homemade ice cream. She exerts a force of magnitude 21 N on the free end of the…

A:

Q: The disk of 5 kg mass attached to a spring shown in the figure is moving on a vertical plane. k = 80…

A: Given Mass m = 5 kg Total Mechanical Energy = 108 Joule Speed v = 3 m/sec Angular Speed ω = 1…

Q: A roller coaster starts from rest at A, rolls down the track to B , describes a circular loop of…

A: a)  According to the conservation of energy, The potential energy at point A (UA) will get converted…

Q: Consider a stationary 1,200kg coaster, at the bottom of the track, compresses a very strong spring…

A:

Q: A 17.5 kg thin spherical shell with radius 1.64 m, is rotating at 152 rev/min. It must be brought to…

A: Given data The mass of the thin spherical shell is M = 17.5 kg The radius of the shell is R = 1.64 m…

Q: A 6kg hoop 3m in diameter rolls down a plane inclined 40 degrees. At the bottom of the incline, what…

A: Given: The mass of the hoop m = 6 kg The radius of the hoop r = 1.5 m The horizontal distance  d = 3…

Q: A 5 kg cylinder 0.5 m in diameter rolls down a plane 5 m long inclined 30° with the horizontal at…

A: Given Data  Mass of the cylinder is m=5 kg Diameter of the cylinder is d=0.5 m So radius of the…

Q: A body of mass m and negligible size starts from rest and slides down the surface of a frictionless…

A:

Q: The figure shows a thin rod, of length L = 2.20 m and negligible mass, that can pivot about one end…

A:

Q: Consider a stationary 1,200kg coaster, at the bottom of the track, compresses a very strong spring…

A:

Q: I am having trouble on a 3 d motion question. The question is as follows, "A skateboarder starts up…

A: Given:Initial speed of skater, U = 7.12 m/sDistance travelled along the incline, H = 1.1 m12 = 2.2…

Q: a flat circular frisbee of mass 2.26 and radius .669 meters is thrown in such a way that the speed…

A: Given: mass m = 2.26 kg radius R = 0.669 m velocity v = 0.838 m/s frequency   ω=21.7 rot/min =…

Q: A small block, with a mass of 4 kg, starts from rest at the top of the apparatus shown above. It…

A: GivenMass of block, m=4 kgHeight of incline, h=5 mRadius of loop, r=1 mspring Constant,k=120 N/m

Q: When the kinetic energy due to rotation is zero?

A: The kinetic energy due to rotation is given by, K=12Iω2 Here, I is the moment of inertia of the…

Q: If the flywheel has a density (mass per unit volume) of 8600 kg/m, what thickness must it have to…

A: The disc starts rotating from rest with a uniform angular acceleration. Using newtons rotational…

Q: A skateboarder with his board can be modeled as a particle of mass 75.0 kg, located at his center of…

A: Given,Mass of the particle, m = 75.0 kgradius, r = 6.70 mthe center of mass of moves through one…

Q: A small solid cylinder rolls up along a curved surface (see figure below) with an initial velocity…

A: Q 5) At the maximum height h, all the Kinetic energy it has at the bottom of the hill is converted…

Q: a kinetic energy of 124 J. What kinetic energy would the bicycle have if it had  Column A 1. twice…

A: We know the formula of the kinetic energy is given as  K.E = 12mv2 ----- eq 1  The kinetic energy…

Q: Two identical alleles are moving on horizontal surfaces. The center of masses of each has the same…

A:

Q: A thin uniform rod of mass M, and length L is suspended from the ceiling and mounted on a horizontal…

A:

Q: 7. A 5.00-kg solid ball of radius 0.250 meters is pressed back against a spring having a spring…

A: Apply the conservation of energy between the launch position and the start of the inclination.

Q: olid cylinder of mass me = 5.5 kg and radius r = 0.4 m, then to a spring of spring constant k = 135…

A: GivenFyb=F=31 Mmb=7 kgmc=5.5 kgr=0.4 mk=135 N/mμs=0.61μk=0.33

Q: A 3.0-kg mass is sliding on a horizontal frictionless surface with a speed of V=3.0 m/s when it…

A: