Question

Камень массой 400 г бросили вертикально вниз с начальной скоростью 5 м/с. Каким будет импульс камня, если он падал 2 с?

Answer 1

Ответ:

ответ 3 импульс

каркгвойлфлфы

Answer 2

Calculation of Impulse

To calculate the impulse of the stone, we can use the formula:

Impulse = mass × change in velocity

Given: - Mass of the stone = 400 g = 0.4 kg - Initial velocity of the stone = 5 m/s - Time taken for the stone to fall = 2 s

To find the change in velocity, we can use the equation of motion:

Change in velocity = final velocity - initial velocity

Since the stone is dropped vertically downward, the final velocity can be calculated using the equation:

Final velocity = initial velocity + (acceleration × time)

In this case, the acceleration is due to gravity and is approximately 9.8 m/s².

Let's calculate the final velocity first:

Final velocity = 5 m/s + (9.8 m/s² × 2 s)

Calculating the final velocity:

Final velocity = 5 m/s + (9.8 m/s² × 2 s) = 5 m/s + 19.6 m/s = 24.6 m/s.

Now, we can calculate the change in velocity:

Change in velocity = final velocity - initial velocity

Change in velocity = 24.6 m/s - 5 m/s = 19.6 m/s.

Finally, we can calculate the impulse:

Impulse = mass × change in velocity

Impulse = 0.4 kg × 19.6 m/s = 7.84 kg·m/s.

Therefore, the impulse of the stone will be 7.84 kg·m/s when it falls for 2 seconds.