Question

На тело изначально двигавшееся со скоростью 1 м/с в течение 10 секунд действовала постоянная сила 1 н, направленная противоположно начальной скорости тела . конечная скорость тела равна 3м/с . Найдите массу тела

Answer 1

F=dp/dt
До действия силы импульс m*V1, после: -m*V2
dp=m*V1-(-m*V2)=m*(V1+V2)
F=m*(V1+V2)/dt
m=F*dt/(V1+V2)=1*10/(1+3)=2,5 кг

Answer 2

Calculation of the mass of the object

To find the mass of the object, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

In this case, the object initially moves with a velocity of 1 m/s for 10 seconds, and a constant force of 1 N acts against its initial velocity. The final velocity of the object is given as 3 m/s.

We can use the equation:

F = m * a

where: - F is the force acting on the object (1 N) - m is the mass of the object (to be determined) - a is the acceleration of the object

The acceleration of the object can be calculated using the formula:

a = (v - u) / t

where: - v is the final velocity of the object (3 m/s) - u is the initial velocity of the object (1 m/s) - t is the time taken (10 seconds)

Substituting the given values into the equation, we can calculate the acceleration:

a = (3 - 1) / 10 = 0.2 m/s^2

Now, we can rearrange the equation F = m * a to solve for the mass of the object:

m = F / a = 1 N / 0.2 m/s^2 = 5 kg

Therefore, the mass of the object is 5 kg.