Question

Кинетическая энергии снаряда массой 10кг,летящего со скоростью 800м/с,и автомобиля массой 2т,движущегося с постоянной скоростью,одинаковы.Скорость автомобиля?

Answer 1

кинетическая энергии снаряда массой m1=10кг,летящего со скоростью V1= 800м/с,и автомобиля массой m2=2т,движущегося с постоянной скоростью,одинаковы.Скорость автомобиля?  V2- ?
m1*V1^2/2=m2*V2^2/2
V2=V1*√m1/m2=800*√10/2000=800/14=57,14 м/с

Answer 2

Calculating the Speed of the Car

To calculate the speed of the car, we can use the principle of conservation of kinetic energy. The kinetic energy of an object is given by the formula KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass, and v is the velocity.

Given: - Mass of the projectile (m1) = 10 kg - Velocity of the projectile (v1) = 800 m/s - Mass of the car (m2) = 2,000 kg (2t) - Velocity of the car (v2) = ?

The kinetic energy of the projectile is equal to the kinetic energy of the car. Therefore, we can equate the two kinetic energy formulas and solve for the velocity of the car.

0.5 * m1 * v1^2 = 0.5 * m2 * v2^2

Let's solve for the velocity of the car using the given values.

Calculation

Using the given values: - m1 = 10 kg - v1 = 800 m/s - m2 = 2,000 kg

We can calculate the velocity of the car (v2) using the equation: 0.5 * m1 * v1^2 = 0.5 * m2 * v2^2

Substituting the values: 0.5 * 10 * (800)^2 = 0.5 * 2000 * v2^2

Solving for v2: 4000 * 800^2 = 2000 * v2^2 v2^2 = (4000 * 800^2) / 2000 v2^2 = 16,000,000 v2 = √16,000,000 v2 = 4,000 m/s

Answer

The speed of the car is 4,000 m/s.