Delivery trucks that operate by making use of energy stored in a rotating flywheel have been used in Europe. The trucks are charged by using an electric motor to get the flywheel up to its top speed of 1,000.0rad/s. One such flywheel is a solid disc, rotating about its central axis, with a mass of 1,010.0kg and a radius of 1.2m. What is the kinetic energy (in J) of the flywheel after charging?

A hollow sphere is released from rest at the top of the ramp at the height of 0.21 m. The hollow sphere rolls down the ramp (height at the bottom is 0.05m) to a distance of 1.00 m in 1.192 seconds. The angle of the incline is 15 degrees. There is only potential energy at the top and only Kinetic energy at the bottom of the ramp. Please calculate the linear speed at the bottom of the ramp. Assume that the acceleration is not 9.8 m/s2. Find the value for the height by the difference in height from where the sphere was released to where the bottom is located.  Calculate the translation speed of the hollow sphere at the bottom of the ramp using conservation of energy equations.

Two satellites are in circular orbits around a planet that has radius Rp = 9.00 x 106 m. One satellite has mass m₁ = 68.0 kg, orbital radius r₁ = 5.00 × 107 m, and orbital speed v₁ = 4800 m/s. The second satellite has mass m₂ = 84.0 kg and orbital radius 12 = 3.00 x 107 m. a. Calculate the orbital speed of the second satellite. b. Calculate the total mechanical energy of both satellites.

A 3.4-kg sphere is suspended by a cord that passes over a 1.3-kg pulley of radius 3.6 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? m (b) Find the speed of the sphere after has fallen 25 cm. m/s Need Help? Read It

A large wind turbine (typical of the size and specifications of a turbine that you see in a modern wind farm) has three blades connected to a central hub. The blades are 50 m long and rotate at 10 rpm. What angular speed ω and angular acceleration at the tip of a blade?

A neutron star of mass 2.0 x 103° kg and radius 10 km rotates with a period of 0.02 seconds. What is its rotational kinetic energy (in J)?

A 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the surface of the Earth with a speed of 5400 m/s. The radius of the Earth is 6370000 meters. The mass of the earth is 5.98e+24 kg. (A)Find the initial kinetic energy of the rock (in J)     (B)Find the initial potential energy (in J) of the rock (HINT: the "r" in the potential energy formula is measured from the CENTER of the Earth).     (C)Find the total initial energy (in J) of the rock     (D)What is the potential energy (in J) of the rock after it has fallen 4 Earth radii from its original position.     (E)Using the Conservation of Energy, find the speed (in m/s) of the rock after it has fallen 4 Earth radii from its original position.

A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.701 m and 1.29 kg , respectively. A force of constant magnitude ?F acts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate the value of ?F that will accelerate the rod from rest to an angular speed of 6.59 rad/s in 8.95 s.

I am having trouble on a 3 d motion question. The question is as follows, "A skateboarder starts up a 110 cm high, 31 degree ramp at a speed of 7.12 m/s. The skateboard wheels rolls without friction. How far from the end of the ramp, does the skateboarder touch down?". Thanks for the help.

I want to spin several 2.5kg object. I have 157J to use in spinning each object. Find and compare the angular speeds of the following objects. A hoop with a diameter of 3m about its COM. A disk with a diameter of 3m about its COM. A rod with a length of 3m about one end. A small mass at the end of a 3m string.