Question

При подготовке игрушечного пистолета к выстрелу пружину жёсткостью 100H/м сжали на 5 см какую скорость приобретает пуля массой 20г при вымтреле

Answer 1

mv2/2=kx2/2

v2=kx2/m=100Н/м*0.05м*0.05м/0.02кг=12.5

v=3.5м/с

Answer 2

Calculation of Bullet Velocity

To calculate the velocity of the bullet when fired from a toy gun, we can use the principle of conservation of mechanical energy. The potential energy stored in the compressed spring is converted into kinetic energy of the bullet when it is released.

The formula to calculate the velocity of the bullet is:

v = sqrt(2 * k * x / m)

Where: - v is the velocity of the bullet - k is the spring constant (stiffness) of the spring - x is the compression distance of the spring - m is the mass of the bullet

Given: - Spring stiffness (k) = 100 H/m - Compression distance (x) = 5 cm = 0.05 m - Mass of the bullet (m) = 20 g = 0.02 kg

Let's substitute these values into the formula and calculate the velocity.

v = sqrt(2 * 100 * 0.05 / 0.02)

Calculating this expression gives us:

v ≈ 31.62 m/s

Therefore, the bullet will have a velocity of approximately 31.62 m/s when fired from the toy gun.