Question

Граната, яка летіла горизонтально зі швидкістю 10 м/с, розірвалася на два уламки масами I кг i 1,5кг. Більший уламок після вибуху летить в тому ж напрямку і його швидкість 25 м/с. Визначте напрям руху і швидкість меншого уламку.

Answer 1

Ответ:

Объяснение:

Ответ на фото

Answer 2

#### Problem Analysis We are given that a grenade is flying horizontally with a speed of 10 m/s and explodes into two fragments with masses of I kg and 1.5 kg. The larger fragment continues to move in the same direction with a speed of 25 m/s. We need to determine the direction of motion and the speed of the smaller fragment. #### Solution To solve this problem, we can use the principle of conservation of momentum. According to this principle, the total momentum before the explosion is equal to the total momentum after the explosion. Let's assume the initial velocity of the grenade is v and the final velocity of the smaller fragment is v1. The final velocity of the larger fragment is given as 25 m/s. The total momentum before the explosion is the product of the mass and velocity of the grenade: **Initial momentum = (mass of grenade) * (initial velocity of grenade) = (I + 1.5) kg * 10 m/s** The total momentum after the explosion is the sum of the momenta of the two fragments: **Final momentum = (mass of smaller fragment) * (final velocity of smaller fragment) + (mass of larger fragment) * (final velocity of larger fragment)** Since the initial momentum is equal to the final momentum, we can set up the following equation: **(I + 1.5) kg * 10 m/s = I kg * v1 + 1.5 kg * 25 m/s** Now we can solve this equation to find the value of v1. #### Calculation Let's solve the equation to find the value of v1: **(I + 1.5) kg * 10 m/s = I kg * v1 + 1.5 kg * 25 m/s** Simplifying the equation: **10I kg * m/s + 15 kg * m/s = I kg * v1 + 37.5 kg * m/s** Rearranging the equation: **10I kg * m/s - I kg * v1 = 37.5 kg * m/s - 15 kg * m/s** Factoring out the common term: **I kg * (10 m/s - v1) = 22.5 kg * m/s** Dividing both sides by (10 m/s - v1): **I kg = 22.5 kg * m/s / (10 m/s - v1)** Now we can substitute the given values and solve for I: **I = 22.5 kg * m/s / (10 m/s - 25 m/s) = 22.5 kg * m/s / (-15 m/s) = -1.5 kg** Since mass cannot be negative, we can conclude that there is an error in the problem statement or the given values. #### Conclusion Based on the given information, it is not possible to determine the direction of motion and the speed of the smaller fragment. The problem statement or the given values need to be revised in order to provide a valid solution.