Since momentum is proportional to the velocity, half the momentum means half the velocity (and therefore half the speed).
And since kinetic energy is proportional to the SQUARE of the speed, half the speed means 1/4 the kinetic energy.
because they have a larger mass and require a greater energy to move at the same speed. KE=1/2mv2 where m is mass, v is velocity and KE is kinetic energy so for the same energy if the mass is doubled then v2 is halved, resulting in a slower speed
Hello, some error in the words. Electric "force" not electric charge. A/s we increase the distance between the charges ./2 times then force between them will be halved.
ANSWER:No. The mass will be halved but the density will remain the same. ___________________________________________________________The density will remain the same since the formula for density of an object is mass/volume. When you split and object, the mass is divided by 2, and the volume is divided by 2 (or whatever fraction you want to cut your item). If you would, compare mass/volume=mass divided by 2/volume divided by 2.
. This is because it keeps getting halved, and something that keep getting cut in half will never reach zero.
Pressure will be doubled as well, if done in the samevolume (so: not in a balloon I mean).(Gas law: p/T=constant )
Kinetic energy will also be halved. Because kinetic energy is equal to 1/2 mv2
Kinetic energy is determined by mass and velocity. The velocity is halved if you double the original mass, so the kinetic energy stays the same (unless the mass added has the same kinetic energy in the observer's reference frame as the original mass).
The formula for kinetic energy is: KE = mv^2, in which m is mass in kilograms and v is speed in meters/second, or m/s. The unit for kinetic energy is the Joule (J), which is one kilogram·m^2/s^2. If the speed of a mass is halved, it's kinetic energy will be reduced by one quarter. For example, if a 1 kg mass has a speed of 4 m/s, its kinetic energy = 1 kg(4 m/s)^2 = 16 J. If the speed of the 1 kg mass is halved to 2 m/s, its new kinetic energy = 1 kg(2 m/s)^2 = 4 J.
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I assume you mean the gravitational potential energy. This is proportional to the mass, so if you change the mass by a factor of "a", the gravitational potential energy will change by the same factor of "a".
If the mass is doubled,speed should be halved to conserve momentum.
Kinetic energy is given by mv2, where m is mass and v is speed. To obtain a result let me divide the new kinetic energy, m(v/2)2 (where the initial velocity is divided by two), by the initial velocity, mv2. (v2/4)/v2 = 1/4 The kinetic energy will be one fourth of what it was when the speed is halved.
Using; ke = (m x v^2) / 2 where ke = kenetic energy, m = mass and v = velocity, velocity has to be halved when the mass is multiplied by four in order to maintain the same kinetic energy.
momentum=mass * velocity if velocity remain unchanged, the momentum too will be halved ============================================== But wait! Haven't we all learned that momentum is conserved, and half of it doesn't just suddenly disappear ? If half of the mass of a moving object suddenly disconnects from the object and goes somewhere else, then half of the momentum must go along with that half of the mass, and the total momentum doesn't change. On the other hand, if Tinker-Bell flew by, waved her magic wand and sprinkled ferry dust on the moving object so that half of its mass truly ceased to exist, then in order to keep the total momentum constant, the object's velocity must double! The answer to the question is: No matter what happened to the massive moving object, or how it happened, total momentum doesn't change. It's the same today, tomorrow, and forever. Momentum of the total system is always conserved. If half of the mass is detached, you can't say the rest is the whole system. The whole system is together both halves. If both moving same velocity, momentum is divided. If that half stopped, half of the momentum goes to the force used to stop that.
according to the equation for potential energy of a body i.e.''mgh'' if mass of the body is halved m/2 keeping it hight same then its energy will become half as well...
No its stay contstant
a) doubled b) tripled c) doubled (assuming the engine is used to bring it back to the same speed) d) quadrupled e) halved