If the flywheel has a density (mass per unit volume) of 8600 kg/m, what thickness must it have to store 800 J of kinetic energy at t = 8.00 s?

Galactic Alliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spacecraft, which is being moved in one dimension in the tractor beam of the ship named the Jadarian-Ruby, to ensure that the supply spacecraft doesn't damage the spaceport to which it is being delivered. GAJMO Nermalloy has been instructed to deliver the supply spacecraft with a kinetic energy less than 10 10 J (where 1 J = 1 N · m). GAJMO Nermalloy knows that the change in kinetic energy of an object moving in one dimension is equal to the net work performed on it, where net work is the integral of the component of net force in the direction of motion with respect to the position of the of the object. That is: KE2 – KE₁ = √²²² F(x) dx. == Րաշ x1 The net force exerted by the tractor beam is supposed to be constant, Fo −3.5 × 106 N, but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position x is given by F(x) =…

Energy conservation with conservative forces: A very small 100-g object is attached to one end of a massless 10-cm rod that is pivoted without friction about the opposite end. The rod is held vertical, with the object at the top, and released, allowing the rod to swing. What is the speed of the object at the instant that the rod is horizontal? 1.8 m/s 1.4 m/s 0.71 m/s 2.8 m/s 4.0 m/s fbb

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Ed, Edd and Eddy love to play on a seesaw. It consists of a 1-kg board with a length of 8 meters. One day, the other end broke down. They had to cut it by a meter and maintain the pin support in its original position. Then, they tried the seesaw altogether. Ed (m = 55kg) sat on one side about 3m from the pin while Edd (m = 40kg) and Eddy (m = 40kg) on the other side. If Edd was about 3m as well from the pin, calculate the following:   The manitude of the reaction force (N) exerted by the pin support on the board. Assume Eddy is in between Ed and Edd. (mass of board = 1kg)

A student is swinging a set of keys with a mass of 120g on a lanyard that is 18 inches long in a circular motion in a vertical plane. The motion causes the lanyard to exert a maximum of a 5lb force on the students hand. What is the speed of the keys when the student lets go?

A 51 g particle is moving to the left at 19 m/s . How much net work must be done on the particle to cause it to move to the right at 43 m/s ?

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A uniform solid bar with mass m and length L rotates with angular velocity ω about an axle at one end of the bar.What is the bar's kinetic energy?

A ball with an initial velocity of 10 m/s rolls along a curved surface, as shown in the diagram. The mass of the ball is 100 g. Assume that the only energy conversions that take place are between the kinetic energy and the gravitational potential energy of the ball and calculate the speed of the ball at different positions v1, v2, v3, V4. 10 m/s U3 25 m 20 m 10 m 15 m