Question

Помогите* Во сколько раз изменилась скорость тела, если его кинетическая энергия уменьшилась в 16 раз

Answer 1

Дам подсказку догадаайся формула кин энергии такая E=mv квадрат. т.е v в квадрате

Answer 2

Calculating Change in Velocity Given Change in Kinetic Energy

To calculate the change in velocity of an object when its kinetic energy is reduced by a certain factor, we can use the relationship between kinetic energy and velocity. The kinetic energy of an object is given by the formula:

KE = 0.5 * m * v^2 .

Where: - KE = kinetic energy - m = mass of the object - v = velocity of the object

If the kinetic energy is reduced by a factor of 16, then the new kinetic energy (KE') is given by:

KE' = KE / 16

We can then calculate the change in velocity using the relationship between kinetic energy and velocity.

Calculating Change in Velocity

Given that the kinetic energy is reduced by a factor of 16, the new kinetic energy (KE') is 1/16th of the original kinetic energy (KE).

Using the formula for kinetic energy, we have:

KE' = 0.5 * m * (v')^2

Where v' is the new velocity.

We can express the change in kinetic energy as:

KE' = KE / 16

Equating the two expressions for KE', we get:

0.5 * m * (v')^2 = (0.5 * m * v^2) / 16

Solving for v', we find:

v' = v / √16

Calculating the Change in Velocity

The change in velocity can be calculated using the formula:

v' = v / √16

Substituting the values, we get:

v' = v / 4

So, the velocity of the object will be reduced by a factor of 4.

Therefore, the velocity of the object will be reduced by 4 times when its kinetic energy is reduced by a factor of 16.