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

по закону сохранения энергии работа сил сопртивления льда равна кинетическо энергии лома:

mv^2/2=Acопр

Acопр=Fcопр*h

mv^2/2 = Fcопр*h

h=mv^2/2Fсопр=10*2^2/2*400=0.05 м 

 

 

 

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 equation for work done:

Work = Force × Distance

In this case, the force is the constant resistance force of 400 N, and the distance is the depth the rod will penetrate the ice. We can rearrange the equation to solve for the depth:

Distance = Work / Force

To find the work done, we can use the equation for kinetic energy:

Kinetic Energy = (1/2) × Mass × 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 kinetic energy. Then, we can substitute the values into the equation to find the depth the rod will penetrate the ice.

Let's calculate it step by step:

1. Calculate the kinetic energy: - Mass = 10 kg - Velocity = 2 m/s - Kinetic Energy = (1/2) × 10 kg × (2 m/s)^2

The kinetic energy is 20 J.

2. Calculate the depth the rod will penetrate the ice: - Work = Kinetic Energy = 20 J - Force = 400 N - Distance = Work / Force = 20 J / 400 N

The depth the rod will penetrate the ice is 0.05 meters.

Therefore, the rod will penetrate the ice to a depth of 0.05 meters when the resistance force is constant at 400 N.

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