Question

Молоток массой 1 кг забивает гвоздь. Определите время удара молотка о гвоздь, если его скорость перед ударом 1 м/с, а сама сила удара равна 200Н? Ответ привести в миллисекундах.

Answer 1

Ответ:

Объяснение:

По закону сохранения импульса силы:

F·t = m·V

Время удара:

t = m·V / F

t = 1·1 / 200 = 0,0-5 с   или   t = 5 мс

Answer 2

Calculation of the Time of Impact

To determine the time of impact between the hammer and the nail, we can use the equation of motion for a constant force:

F = m * a

where: - F is the force applied by the hammer (200 N), - m is the mass of the hammer (1 kg), - a is the acceleration of the hammer.

Since the hammer is initially at rest and then accelerates to a velocity of 1 m/s before impact, we can use the equation:

v = u + a * t

where: - v is the final velocity (1 m/s), - u is the initial velocity (0 m/s), - a is the acceleration, - t is the time of impact.

Rearranging the equation, we have:

t = (v - u) / a

Substituting the given values, we have:

t = (1 m/s - 0 m/s) / a

To find the acceleration, we can use Newton's second law of motion:

F = m * a

Rearranging the equation, we have:

a = F / m

Substituting the given values, we have:

a = 200 N / 1 kg

Now we can substitute the value of acceleration into the equation for time:

t = (1 m/s - 0 m/s) / (200 N / 1 kg)

Simplifying the equation, we have:

t = 1 kg * 1 s / 200 N

Converting the units, we have:

t = 0.005 s

Therefore, the time of impact between the hammer and the nail is 0.005 seconds.