Question

Ломом массой 10 кг скалывают лёд. Скорость лома при вертикальном ударе о лёд 2 м/с. Как глубоко войдёт лом в лёд, если сила сопротивления лому постоянна и равна 400 Н?

Answer 1

Е(кинетическая)=Е(потенциальная)-F(сопротивления)

mv^2/2=mgh-400

mgh=mv^2/2+400

h=(mv^2/2+400)/mg=((10*2^2/2)+400)/10*10=4,2см 

Answer 2

Calculation of the Depth the Rod Will Penetrate the Ice

To calculate the depth the rod will penetrate the ice, we can use the principles of work and energy. The work done by the rod to penetrate the ice is equal to the force applied multiplied by the distance it moves. In this case, the force applied is the constant resistance force of 400 N, and the distance the rod moves is what we need to find.

Let's assume the distance the rod penetrates the ice is represented by 'd'. The work done by the rod can be calculated using the formula:

Work = Force x Distance

Since the force and work are constant, we can equate the work done by the rod to the work done against the resistance force:

400 N x d = Work

Now, let's calculate the work done by the rod. The work done is equal to the change in kinetic energy of the rod. The initial kinetic energy of the rod is zero, as it starts from rest. The final kinetic energy of the rod can be calculated using the formula:

Kinetic Energy = (1/2) x mass x velocity^2

Given that the mass of the rod is 10 kg and the velocity of the rod is 2 m/s, we can calculate the final kinetic energy:

Final Kinetic Energy = (1/2) x 10 kg x (2 m/s)^2

Now, we can equate the work done by the rod to the final kinetic energy:

400 N x d = (1/2) x 10 kg x (2 m/s)^2

Simplifying the equation:

400 N x d = 20 kg m^2/s^2

Dividing both sides of the equation by 400 N:

d = (20 kg m^2/s^2) / 400 N

Simplifying further:

d = 0.05 m

Therefore, the rod will penetrate the ice to a depth of 0.05 meters.

Please note that the calculations provided are based on the given information and assumptions.