Question

Ящик массой m с постоянной скоростью втаскивают на вершину наклонной плоскости от ее основания . Высота наклонной плоскости h. В этом процессе полная механическая энергия ящика 1) будет неизвестна, тк не задан коэффициент трения 2) будет неизвестна, тк не задан угол наклона плоскости 3) увеличится на mgh 4) не изменится

Answer 1

4, так как все кинетическая энергия перейдет в потенциальную по закону сохранения энергии

Answer 2

Calculation of the Total Mechanical Energy of the Box

To determine the change in the total mechanical energy of the box as it is pulled up the inclined plane, we need to consider the initial and final states of the box.

The initial state of the box is when it is at the base of the inclined plane. At this point, the box has gravitational potential energy but no kinetic energy since it is not moving. The gravitational potential energy of the box is given by the equation:

PE = mgh

Where: - PE is the gravitational potential energy - m is the mass of the box - g is the acceleration due to gravity (approximately 9.8 m/s^2) - h is the height of the inclined plane

The final state of the box is when it reaches the top of the inclined plane. At this point, the box has no gravitational potential energy but has gained kinetic energy due to its motion. The kinetic energy of the box is given by the equation:

KE = (1/2)mv^2

Where: - KE is the kinetic energy - m is the mass of the box - v is the velocity of the box

Since the box is being pulled up the inclined plane with a constant velocity, its kinetic energy remains constant throughout the process. Therefore, the change in the total mechanical energy of the box is equal to the change in its gravitational potential energy.

Answer

Based on the given information, the total mechanical energy of the box will increase by mgh as it is pulled up the inclined plane. Therefore, the correct answer is 3) увеличится на mgh.