of mass m initially at speed u collides head-on (without rotation) with a stationary puck of mass M. Find the velocities of both puck after the collision if: i) the collision is fully elastic ii) the collision if fully inelastic. i) momentum: kinetic energy: mu = mv+MV (+ve in direction of initial u) 1 /2 m u2 = 1/2 m v2 + 1/2 M V2 2 eqns in 2 unknowns: V = (u - v) m/M substitute in K eqn: u2 = v2 + (M/m) V2 = v2 + (M/m) (u - v)2 (m/M)2 = v2 + (u - v)2 (m/M) let ρ = (m/M) ⇒ v2 (1 + ρ) - 2ρ u v
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KINETIC ENERGY Objects have energy because of their motion; this energy is called kinetic energy. Kinetic energy of the objects having mass m and velocity v can be calculated with the formula given below; K=1/2mv² Kinetic energy is a scalar quantity; it does not have a direction. Unlike velocity‚ acceleration‚ force‚ and momentum‚ the kinetic energy of an object is completely described by magnitude alone. Like work and potential energy‚ the standard metric unit of measurement for kinetic energy
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eventually falls in the liquid with a constant speed of 6.0 cm s . k www.studyguide.pk www.studyguide.pk www.studyguide. (i) For this sphere travelling at constant speed‚ calculate k www.studyguide.pk www.studyguide.pk www.studyguide. 1. its kinetic energy‚ k www.studyguide.pk www.studyguide.pk www.studyguide. k www.studyguide.pk www.studyguide.pk www.studyguide. k www.studyguide.pk www.studyguide.pk www.studyguide. k www.studyguide.pk www.studyguide.pk
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uniform disk of radius R = 0.25 m has a string wrapped around it‚ and a m = 3 kg weight is hanging on the string. The system of the weight and disk is released from rest. a) When the 3 kg weight is moving with a speed of 2.2 m/s‚ what is the kinetic energy of the entire system? KETOT = KEwheel+KEweight = (1/2)(I)(w2)+(1/2)(m*v2) =(0.5* v2)(m+1/2M) =0.5*(2.2^2)*(3+(.5*15)) J b) If the system started from rest‚ how far has the weight fallen?
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Kinetic Energy: Consider a baseball flying through the air. The ball is said to have "kinetic energy" by virtue of the fact that its in motion relative to the ground. You can see that it is has energy because it can do "work" on an object on the ground if it collides with it (either by pushing on it and/or damaging it during the collision). The formula for Kinetic energy‚ and for some of the other forms of energy described in this section will‚ is given in a later section of this primer. Potential
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or itself‚ it has energy. When you think of energy‚ you might think of action- or objects in motion‚ like the baseball that shatters a window. There are different forms of energy. Turn on an electric light and a dark room becomes bright. Turn on a music player and sound comes through your headphones. In both situations‚ energy moves from one place to another; effect and reaction. The two different types of energy are kinetic and potential energy. Kinetic energy is the energy a moving object has
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Learning Goals: • Predict the kinetic and potential energy of objects. • Examine how kinetic and potential energy interact with each other. In the space provided‚ define the following words: Kinetic energy-is the energy of motion. An object that has motion - whether it is vertical or horizontal motion Potential energy-is the energy of an object or a system due to the position of the body or the arrangement of the particles of the system Open Internet Explorer. From the FMS
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Kinetic energy is increasing between letters A-B‚ C-D and E-F. Based off the observations‚ in phase A-B Tert-Butyl Alcohol stays a solid‚ in phase C-D Tert-Butyl Alcohol stays a liquid‚ and in phase E-F the chemical stays a gas. This is observed at the particle level because temperature is a measure of Ek; the temperature is increasing which increases kinetic energy. Since Ek is the energy of motion‚ the particles would increase their velocity and the number and force of collisions. However‚ the
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WHAT IS TORQUE? Torque is a measure of how much a force acting on an object causes that object to rotate. The object rotates about an axis‚ which we will call the pivot point‚ and will label ’O ’. We will call the force ’F ’. The distance from the pivot point to the point where the force acts is called the moment arm‚ and is denoted by ’r ’. Note that this distance‚ ’r ’‚ is also a vector‚ and points from the axis of rotation to the point where the force acts. (Refer to Figure 1 for a pictoral
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D. Increase the momentum of the object over a long time 8. Most street barriers are made of hard rubber or plastic materials that easily give in or dent when hit. Why is this so? A. To reduce the vehicle’s kinetic energy when it collides with the barriers B. To store potential energy in the bumpers of vehicles C. To reduce the impact force when hit by a vehicle D. To reduce the impact time when the barriers hit the vehicle 9. What is the momentum of a 20 kilogram cart moving
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