Question

Скорость движения тела увеличилась в 3 раза.Во сколько раз изменилась его кинетическая жнергия

Answer 1

Увеличится в 9 раз..........

Answer 2

Change in Kinetic Energy with Increased Speed

When the speed of an object increases by a certain factor, the change in its kinetic energy can be calculated using the formula:

Change in Kinetic Energy = 1/2 * m * (new velocity^2 - initial velocity^2)

In this case, the speed of the object has increased by 3 times, which means the new velocity is 3 times the initial velocity.

Using the formula, the change in kinetic energy can be calculated as follows:

Change in Kinetic Energy = 1/2 * m * (3V^2 - V^2) = 1/2 * m * (9V^2 - V^2) = 4.5 * m * V^2 - 0.5 * m * V^2 = 4.5 * m * V^2 - 0.5 * m * V^2 = 4 * m * V^2

Therefore, the kinetic energy has increased by 4 times due to the 3-fold increase in speed.

This calculation is based on the formula for kinetic energy and the relationship between velocity and kinetic energy.