The car moves at a speed of 10 meters per second at what speed it must move in order
| June 15, 2021 | education
The car moves at a speed of 10 meters per second at what speed it must move in order for its kinetic energy to increase 4 times.
V1 = 10 m / s.
Ek2 = 4 * Ek1.
V2 -?
The kinetic energy of the body Ek is determined by the formula: Ek = m * V2 / 2, where m is the mass of the body, V is the speed of its movement.
Let us express the kinetic energy Ek1 during the initial movement of the car: Ek1 = m * V1 ^ 2/2.
The kinetic energy of the body, after increasing the speed, Ek2 will be determined by the formula: Ek2 = m * V2 ^ 2/2.
Ek2 = 4 * Ek1.
m * V2 ^ 2/2 = 4 * m * V1 ^ 2/2.
V2 ^ 2 = 4 * V1 ^ 2.
V2 = 2 * V1.
V2 = 2 * 10 m / s = 20 m / s.
Answer: the vehicle speed should increase to V2 = 20 m / s.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
