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).
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.
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.
If the displacement is halved but the time is unchanged, the velocity will also be halved. This is based on the formula: velocity = displacement / time. If displacement decreases by half but time remains the same, velocity will decrease proportionally.
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.
When the kinetic energy increases by four times, the speed of the body will double. The relationship between kinetic energy and speed is not linear, but rather quadratic. So if the kinetic energy increases by four times (2^2), the speed will increase by two times (2).
Kinetic energy = 1/2 M V2 .Double the mass . . . doubles the KE.Cut the speed in half . . . reduces the KE to 1/4 .Do both . . . reduces the KE to 1/2 its original value.
For this question, we will use the formula K = 1\2 mv2. But first, we must convert the 65 miles per hour into meters per second. Multiply miles per hour by a factor of 1.609 to get kilometers per hour. Divide this answer by 3600 to get kilometers per second. Multiply this by 1000 to get meters per second. In this case, the velocity in meters per second is aproxamitely 29 meters per second. To get the kinetic energy, we multiply one half, times the mass 750 kg, times 292 meters per second. This yields 315375 Joules. If we halved the velocity, the kinetic energy would be one-fourth that of the original kinetic energy. This is because the velocity is squared. This holds true if we go to one third the original speed. Then it would be one-ninth of the original kinetic energy.
If the mass of an object is halved, its potential energy will also be halved as potential energy is directly proportional to the mass of the object. This is because potential energy is determined by the mass of the object, the acceleration due to gravity, and the height at which the object is located.
Using the equation for kenetic energy [KE=1/2*(X kg)*(V m/s)squared], KE will be reduced by V[squared]*(1/2), or 4x.
Nothing; it remains the same as before.
If the length of the spring is halved, the spring constant remains the same. The spring constant is determined by the material and shape of the spring, and is not affected by changes in length.