Answers and Solutions

Answer

Ans. The new kinetic energy will be double the original kinetic energy.

Explanation: We know, KE of a body is directly proportional to its mass and square of the speed.

KE = 1/2(m.v^2)

Here, new mass m' = m/2 and new speed v' = 2v 

So, new KE or KE' = 1/2(m'.v'^2) = 1/2(m/2.(2v)^2) = (m.v^2) = 2.KE

Answer

Kinetic energy is known by the formula K.E.=1/2 m(v*v). where m is the mass and v is velocity, where velocity =speed /time

Answer

To answer this question, we need to use the kinetic energy formula, which is:

KE = 0.5 × m × v²

where KE is the kinetic energy, m is the mass, and v is the velocity.

If the mass is reduced to half and the speed is doubled, then we can substitute these values into the formula and get:

KE = 0.5 × (m/2) × (2v)²
KE = 0.5 × (m/2) × 4v²
KE = 0.5 × 2mv²
KE = mv²

This means that the kinetic energy is equal to the original mass times the square of the original velocity. In other words, the kinetic energy is increased by a factor of 2.

For example, if the original mass was 10 kg and the original velocity was 5 m/s, then the original kinetic energy was:

KE = 0.5 × 10 × 5²
KE = 0.5 × 10 × 25
KE = 125 J

If the mass is reduced to half and the speed is doubled, then the new kinetic energy is:

KE = 10 × 10²
KE = 10 × 100
KE = 1000 J

This is 8 times the original kinetic energy.

Answer

The kinetic energy is directly proportional to the mass and the square of the velocity. This means that if both the mass and velocity are halved, the kinetic energy will also be halved. The formula for kinetic energy is KE = 1/2 * m * v^2, where m is the mass and v is the velocity. So, if m = 1/2 * m and v = 1/2 * v, then KE = 1/2 * (1/2 * m) * (1/2 * v)^2 = 1/8 * m * v^2. This principle is known as the conservation of energy.