Option 1.
1.Give definitions of the following concepts: Speed, force, body momentum, isoprocesses.
2. Write down the formulation of Newton’s 1st law.
3. Solve the problems:
Using the equation of coordinate x=2+3t+t2 determine: initial coordinate, projection of initial velocity, projection of acceleration. Write the equation of velocity and draw a graph.
A body moving in a straight line increased its speed from 36 km/h to 72 km/h in 10 seconds. What distance did the body travel during this time?
A body of mass 500 g under the action of some force gained acceleration 5 m/s2. What acceleration will a body with a mass of 100 g gain under the action of the same force?
A weight of 2 kg, tied to a weightless string, rises with an acceleration of 5 m/s2. Determine the force of the tension of the string.
A body with a mass of 30 kg, moving at a speed of 2m/s, collides with a stationary cart with a mass of 10 kg. What is the velocity of the joint motion of the bodies after they are coupled?
What is the kinetic energy of a body with a mass of 2 kg moving at a speed of 10m/s?
Option 2
1.Give definitions of the following concepts: path, mass, momentum of force, isothermal process.
2. Write down the formulation of Newton’s 2nd law.
3. Solve the problems:
Using the equation of coordinate x=-2-4t+2t^2 determine: initial coordinate, projection of initial velocity, projection of acceleration. Write the equation of velocity and draw a graph.
While traveling at an equal acceleration for 5 s, the car increased its speed from 72 km/h to 108 km/h. What distance did the body travel during this time?
A force of 0.002 kN gives an acceleration of 0.4 m/s2 to the body. What force can give this body an acceleration of 2 m/s2?
A body with a mass of 10 kg is moving uniformly along a horizontal surface under the action of a force of 10 N. What is the coefficient of friction?
A cart with a mass of 50 kg moving at a speed of 3 m/s collides with a stationary cart with a mass of 25 kg and is hitched to it. What is the speed of both carts after the interaction?
What is the potential energy of a body with a mass of 3 kg at a height of 4 m?
Option 3
1.Give definitions of the following concepts: acceleration, weight, power, isobaric process.
2. Write down the formulation of Newton’s 3rd law.
3. Solve the problems:
Using coordinate equation x=1+3t-3t^2 determine: initial coordinate, projection of initial velocity, projection of acceleration. Write the equation of velocity and draw a graph.
During the motion the velocity of the body changed from 3.6 km/h to 10.8 km/h in 50 s. Determine the distance covered by the body during this time.
A body with a mass of 0.002 t under the action of some force has an acceleration of 2 m/s2. What acceleration will a body with a mass of 0.001 t gain under the action of the same force?
When moving off, an electric locomotive develops a tractive force of 500 kN. What acceleration will it give to a train with a mass of 5000t if the friction force is 250kN?
A cart with a mass of 5 kg moving at a speed of 2 m/s collides with a cart with a mass of 4 kg moving towards it at a speed of 10 m/s and hitches up with it. What is the speed of both carts after the interaction?
What is the kinetic energy of a body with a mass of 4 kg moving with a speed of 20 m/s?
Option 4
1.Give definitions of the following concepts: deformation, gravity, kinetic energy, isochoric process.
2. Write down the formulation of the law of universal gravitation.
3. Solve problems:
Using the equation of coordinate x=5+4t-2t^2 determine: initial coordinate, projection of initial velocity, projection of acceleration. Write the equation of velocity and draw a graph.
A train traveling at a speed of 72 km/h travels 100 m before it stops. Determine in how much time the train stopped.
A body of mass 0.05 n under the action of some force gained acceleration of 5 m/s2. What acceleration will a body with a mass of 0.001 t gain under the action of the same force?
A weight of 10 kg tied to a weightless string is lifted up with an acceleration of 2m/s2. Determine the force of the tension of the string.
A man with a mass of 50 kg jumped from the shore with a speed of 6m/s into a stationary boat near the shore. At what speed will the boat move with the man if the boat has a mass of 40 kg?
What is the potential energy of a body with a mass of 10 kg at a height of 5 m?
Option 5
1.Give definitions of the following concepts: trajectory, elastic force, potential energy, molecule.
2. Write down the formulation of the law of conservation of momentum.
3. Solve the problems:
Using the coordinate equation x=-5+4t+4t^2 determine: initial coordinate, projection of initial velocity, projection of acceleration. Write the equation of velocity and plot the graph.
A train traveling at a speed of 108 km/h travels 150 m before it stops. Determine in how much time the train stopped.
A body with a mass of 300 g under the action of some force gained an acceleration of 6 m/s2. What acceleration will a body with a mass of 600 g gain under the action of the same force?
A body with a mass of 50 kg is moving uniformly along a horizontal surface under the action of a force of 100 N. What is the coefficient of friction?
A cart with a mass of 10 kg, moving with a speed of 3 m/s, collides with a cart with a mass of 4 kg, moving towards it with a speed of 20 m/s and is coupled to it. What is the velocity of both carts after the interaction?
What is the kinetic energy of a body with a mass of 5 kg moving with a speed of 40 m/s?
Option 6
1.Give definitions of the following concepts: mechanical motion, deformation, efficiency, temperature.
2. Write down the formulation of the law of conservation of energy.
3. Solve the problems:
Using the equation of coordinate x=-3+2t+2t^2 determine: initial coordinate, projection of initial velocity, projection of acceleration. Write the equation of velocity and graph it.
A train traveling at a speed of 108 km/h stopped after 5 minutes. Determine the acceleration of the train.
A body of mass 50 g under the action of some force gained an acceleration of 2 m/s2. What acceleration will a body of mass 400 g gain under the action of the same force?
A body with a mass of 50 kg moves on a horizontal surface under the action of a force of 100 N with acceleration of 2 m/s2. What is the coefficient of friction?
A cart with a mass of 10 kg moving at a speed of 3 m/s collides with a cart with a mass of 4 kg moving in the same direction at a speed of 2 m/s and is coupled to it. What is the speed of both carts after the interaction?
What is the kinetic energy of a body with a mass of 0.2 kg moving at a speed of 10 m/s?
