5. Assume that the Earth is a solid sphere of constant density, with mass 5.98 X 10 kg and radius 6370 km. (a) What is the moment of Inertia of the Earth with respect to rotation about its axis, and (b) what is the kinetic energy of this rotation?
Q: A force N acts on a particle located at the position vector m. Calculate the torque about the origin…
A: Given Data : The force acting on the particle is given as N→ The position vector of the particle is…
Q: A wheel is turning about an axis through its center with constant angular acceleration. Starting…
A: Solution: Given that ∆θ = 8.5 revolutionst = 13 sKE = 33.5 J
Q: 5. A cable is wrapped around a solid cylinder with mass 50kg and diameter 0.12m. The cylinder…
A:
Q: A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 15.0°. It momentarily…
A:
Q: A cylinder of mass 12.0 kg rolls without slipping on a horizontal surface. At a certain instant its…
A:
Q: A solid sphere of uniform density is attached to a massless rod at the sphere’s surface, and is…
A:
Q: Question 5 The following figure shows a top view of a small 19.2 g bug standing at one end of a thin…
A: To solve this problem, we need to use conservation of momentum and conservation of energy. Given:…
Q: 1. A solid cylinder of mass M=3.0 kg and radius R= 5.0 cm is rolling without slipping on a…
A: Given:- The solid cylinder of mass m = 3 kg The rolling with the radius R = 5.0 cm = 0.05 m The…
Q: A wheel is rolling along the ground with a translational velocity of 2.0m/s. If the wheel has a…
A:
Q: Part A What is the rotational kinetic energy of the earth? Assume the earth is a uniform sphere.…
A:
Q: 1. A hollow ball rolls without slipping along a horizontal surface. Its center of mass moves (CM) at…
A: Given:- A hollow ball rolls without slipping along a horizontal surface. The speed of the center…
Q: 4. A solid disk rotates in the horizontal plane at an angular velocity of 4.00 ×10° moment of…
A: The initial angular velocity of the disk, ωi=4.00×10-2 rad/s The moment of inertia of the disk,…
Q: 1. A particle with mass 4 kg moves in a circle of radius 4 m. The angular momentum of the particle…
A:
Q: 21. A bicycle and its rider have total mass 90.0 kg and coasts initially at 5.00 m/s. Each wheel has…
A:
Q: A disc and solid sphere are rolling without slipping so that both have a kinetic energy of 252 J.…
A: The expression for the rotational kinetic energy is as follows: KE=12Iω2…
Q: 5. A 4.0kg mass is connected by a massless string over a massless and frictionless pulley to the…
A:
Q: 3. A solid disk rotates in the horizontal plane at an angular velocity of 4.90 × 10~2 rad/s with…
A: Given :The initial angular velocity of disk,ωi=4.90 x 10-2 rad/sMoment of inertia of the disk,…
Q: 4. A light rope is wrapped several times around a large wheel with a radius of 0.500 m. The wheel…
A:
Q: 3. A large wooden turntable has the shape of a flat uniform disk of radius 1.8 m and a total mass of…
A: radius of disk (r) = 1.8 m mass (m) = 150 kg initial angular velocity = 4 rad/sec mass of…
Q: 7. A solid sphere of mass M and radius R starts from rest at the top of an inclined ramp, and rolls…
A: The objective of the question is to understand the energy transformation in the rolling sphere and…
Q: thanks!
A: Use the Newton’s second law of motion to solve for the net force on the system in the equilibrium…
Q: A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It…
A: Linear speed of ball along the ground (u)=4.75 m/s Linear speed of ball at the top of the hill…
Q: c) If an aircraft turbine is turning a fan axle at a rotational velocity of 251.30 radians per…
A: Given Information:- Rotational velocity of the fan axle is ω=251.30 rad/s. Power delivered by the…
Q: 7. An aluminum disk has a mass m, radius R, and area A. It has an area mass density (mass per unit…
A: Given data: Mass of the aluminum disk is, m The radius of the aluminum disc is, R The area of the…
Q: A 2.1-kg solid sphere rotates about a frictionless axis through its center. A braking force of 0.19…
A: τ=IαrF=25mr2α r=5F2mα
Q: 4. A solid disk rotates in the horizontal plane at an angular velocity of 4.30 x10-2 rad/s with…
A: Write the expression for the conservation of momentum,
Q: There is a uniform hollow spherical shell with a radius of 15 cm siting at the end of a massless rod…
A: GivenRadius of hollow spherical shell,Length of rod,Initial angular velocity,Determine:What is its…
Q: 1. Which is larger for a hoop (ring) of mass M and radius R (I = MR²) that is rolling without…
A:
Q: Find the linear acceleration and the angular acceleration of the cylinder (b) Find the total…
A:
Q: A hollow spherical shell has mass 8.50 kg and radius 0.240 m. It is initially at rest and then…
A: Given: mass = m=8.50 kg. radius = r = 0.240 m. angular acceleration = 0.875 rad/s2 we have to…
Q: 4. A volleyball player's 3.7-kg arm moves at an average angular velocity of 15 rad/s during the…
A:
Step by step
Solved in 2 steps
- 4. Suppose a light cable is wrapped around a solid cylinder with mass 50Kg and diameter 0.12m. The cylinder rotates with no friction about a stationary horizontal axis. The free end of the cable is pulled by a force of 9N over a distance of 2m. What is the speed of the cylinder? 9.0 N 2.0 m 50 kg 0.120 m9. A horizontal 800-N merry-go-round of radius 1.50 m is started from rest by a constant horizontal force of 50.0 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 3.00 s. (Consider the merry-go-round to be a solid cylinder in determining its moment of inertia). Answer: 276 J5. A wheel is rolling along the ground with a translational velocity of 2.0m/s. If the wheel has a mass of 1.0 kg, a radius of 0.50m and a moment of inertia of 0.15 kg m2, what is its total kinetic energy? A) 2.0 J В) 3.2 J С) 2.3 J D) 2.6 J E) 1.2 J
- 0 out of 15 p A grindstone has a radius of 13.00 cm and rotates at 13000 rev/min. What is the linear speed (in m/s) of a point on its edge? Selected Answer: O 31.6 Correct Answer: 176.79644 6/170 79644- 182 79644)9. A figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s. She can increase her rotation speed by bringing her arms close to her body. Suppose her final rotation rate is 3.0 rev every 1.2 s. Find her moment of inertia with her arms close to her body if her moment of inertia with outstretched arms is 5.0 kg-m?. (Answer: I = 1.7 kg · m²)Two wheels are connected by a belt that does not slip. The smaller wheel has a diameter D, while the bigger wheel has a diameter that is 4.00 times bigger. Calculate the ratio of the moments of inertia if the two wheels have: i) the same angular momentum about their rotation axes. ii) the same rotational kinetic energy.
- 1. An Olympic athlete competing in the hammer toss spins the 7.26 kg hammer in a circle having a radius of 2.15 m (this includes both the length of the massless cable attached to the hammer and the athlete's arms). If the angular speed of the hammer is 13.4 rad/s about the axis of rotation just before the athlete releases the hammer, what is the tension force in the cable attached to the hammer at this moment? Treat the hammer like it is a point mass at the end of a massless cable. 2. Your car has a mass of 1.30 x 103 kg. You get on Crondall Lane and are cruising along at 20.0 m/s and thinking about how you really should have walked across the bridge instead of contributing to global pollution. You look up to see that you are approaching the stoplight at Owings Mills Boulevard and it is red, so you slam on the brakes when you are 25.0 m away from the light. If your brakes provide a constant force of 8.90 x 103 N, do you stop before reaching the stoplight? If not, how fast are you…A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 3.60 mm and he operates it at 2.25 x 10 rad/s (a) Determine the tangential speed of the rim of the disk. 181 m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation of the disk now? 7.94e-5x Your answer cannot be understood or graded. More Information s