Conservation of Energy

Conservation of Energy Principles

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A sphere (mass = m, radius = R, moment of inertia =2/5 mR^2) is sliding on a frictionless table with linear speed v. An identical sphere is spinning on the same table (not sliding) about its center with an angular velocity, w. What is the ratio between
Which of the following statem ents are true?(A) The total mechanical energy of an object subject only to conservative forces is constant.(B) The energy transferred by nonconservative forces is path dependent.(C) The energy transferred by conservative forc
A stone is propelled vertically off the ground. After it is released, which of the following are true?(A) Its kinetic energy decreases.(B) Its total mechanical energy increases.(C) Its gravitational potential energy increases.(D) Its total energy is propo
A body with a moment of inertia 4 kg.m^2 accelerates constantly from rest with an angular acceleration of 5 rad/s^2. How much time does it take to obtain a rotational kinetic energy of 800 J?
A 31kg child on a swing reaches a maximum height of 1.92m above her rest position. Assuming no loss of energy: 1. What will be her maximum speed through the swing. 2. Assuming this maximum height was the result of one push from her parent, what was the av
An 800.0-kg car is traveling along a wet road at a velocity of 25.5 m/s. A 1000.0-kg car is traveling along the same road in the same direction at 34.7 m/s. The two cars collide and lock together. Answer the following questions.
A yo-yo of radius 2.8 cm is held so that its centre is 1.2 m above the ground. It is released and dropped. When it is 0.30 m above the ground, it stops falling, then quickly rises back up in the air. What is the rotational velocity of the yo-yo at its low
A block of mass 2.2 kg can slide along a curved track as shown on the right. The block, initially at a height of 5.6 m above the ground is released. It slides down a track which is all frictionless, except for a rough zone having a length of 0.56 m. In th
A ballistic pendulum apparatus is set up. A bullet is fired at 125 m/s into a 1.5 kg block of ballistic gel. The bullet is embedded in the gel, and together the gel and the bullet rise 0.010 m into the air. What is the mass of the bullet?
Object 1 has a moment of inertia of 8 kg.m^2, and Object 2 has a moment of inertia of 2 kg.m^2. If Object 1 is rotating with an angular velocity of 1 rad/s, what angular velocity would give Object 2 the same rotational kinetic energy?

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