Work (which is a type of energy transfer) = force x distance.Look at the formulae for acceleration. The relevant formula in this case (simplified for the case that the initial speed is zero) is:
Distance = (1/2) acceleration time squared
Let's keep the acceleration constant. Note that this will also make the force constant. In this case, in twice the time your object will move four times the distance. Note that at constant acceleration, in twice the time you get twice the speed (assuming that you start at speed = 0).
Combining all of the above, to get twice the speed, you need to apply the same acceleration (and therefore, the same force) over FOUR times the distance. As a result, the amount of work required to achieve this acceleration will also increase by a factor four. Or in general, it will scale with the square of the speed.
Assuming non-relativistic speeds: Doubling the speed will quadruple the kinetic energy.
-It increases
If the speed of an object doubles, its kinetic energy quadruples. This is because velocity is squared in the formula for kinetic energy.
Answer: Speed is distance over time (V=x/t). The kinetic energy of an object is calculated from the type KE=1/2mass by Speed squared. From these two formulas we can see that if the speed doubles, then the kinetic energy of an object becomes four times larger. Lets see an example: A car has a speed of 4 metres per second. Its kinetic energy is KE=1/2mass by speed squared, so its KE=1/2mass by 16 (since the square of 4 is 16). If the speed doubles and the car does 8 metres per second, its kinetic energy is: KE=1/2mass by 64 (since 8 squared gives us 64). If we divide 64/16 its 4. So we see that when speed doubles, the Kinetic Energy of an object becomes four times larger.
Kinetic energy is (1/2) (mass) (speed)2 .The only part of that formula we need in order to answer the question isthe (speed)2 part. It says that if you multiply the speed by 'K', then thekinetic energy gets multiplied by K2 .So if you double the speed, the kinetic energy is multiplied by (2)2 = 4 .
Assuming non-relativistic speeds: Doubling the speed will quadruple the kinetic energy.
If the speed of an object doubles, its kinetic energy quadruples. This is because velocity is squared in the formula for kinetic energy.
At twice the speed, the kinetic energy will be four times greater.
-It increases
As long as an object is not rotating or otherwise changing its direction of motion, and its velocity is not approaching that of light, the kinetic energy, K, of an object of mass m, and travelling at a speed v, is ½ mv².K = ½ mv²Since kinetic energy, in this relation, is directly proportional to mass, doubling the mass also doubles the kinetic energy.So the kinetic energy is increased by a factor of two.
If the speed of an object doubles, its kinetic energy quadruples. This is because velocity is squared in the formula for kinetic energy.
Answer: Speed is distance over time (V=x/t). The kinetic energy of an object is calculated from the type KE=1/2mass by Speed squared. From these two formulas we can see that if the speed doubles, then the kinetic energy of an object becomes four times larger. Lets see an example: A car has a speed of 4 metres per second. Its kinetic energy is KE=1/2mass by speed squared, so its KE=1/2mass by 16 (since the square of 4 is 16). If the speed doubles and the car does 8 metres per second, its kinetic energy is: KE=1/2mass by 64 (since 8 squared gives us 64). If we divide 64/16 its 4. So we see that when speed doubles, the Kinetic Energy of an object becomes four times larger.
Kinetic energy is (1/2) (mass) (speed)2 .The only part of that formula we need in order to answer the question isthe (speed)2 part. It says that if you multiply the speed by 'K', then thekinetic energy gets multiplied by K2 .So if you double the speed, the kinetic energy is multiplied by (2)2 = 4 .
The kinetic energy of an object is proportional to the square of its speed.
The higher the speed the more the kinetic energy.
The kinetic energy of an object is proportional to the square of its velocity (speed). In other words, If there is a twofold increase in speed, the kinetic energy will increase by a factor of four. If there is a threefold increase in speed, the kinetic energy will increase by a factor of nine.
Kinetic energy is proportional to the square of the speed. If you reduce the speed by a factor of 12, the kinetic energy will reduce by a factor of 12 x 12 = 144.Kinetic energy is proportional to the square of the speed. If you reduce the speed by a factor of 12, the kinetic energy will reduce by a factor of 12 x 12 = 144.Kinetic energy is proportional to the square of the speed. If you reduce the speed by a factor of 12, the kinetic energy will reduce by a factor of 12 x 12 = 144.Kinetic energy is proportional to the square of the speed. If you reduce the speed by a factor of 12, the kinetic energy will reduce by a factor of 12 x 12 = 144.