Task 1.8
The material point moves along a circle whose radius is 20 m. The dependence of the path traversed by the point on time is expressed by the equation s = t3 + 4t2-t + 8. Determine the distance traveled, the angular velocity and the angular acceleration of the point in 3 seconds from the beginning of its movement.

Task 1.18
Two particles move towards each other at a speed of 0.8 s. Determine the rate of their relative motion

Task 1.28
A skater weighing 60 kg, standing on ice on skates, throws in a horizontal direction a stone weighing 2 kg at a speed of 10 m / s. At what distance will the skater recoil if the coefficient of friction of ice skates is 0.02.

Task 1.38
The proton and a-particle undergo the same accelerating potential difference, after which the proton mass is half the rest mass of the a-particle. Determine the potential difference.

Task 1.48
In a container with a capacity of 0.8 m3 there are 2 kg of hydrogen and 2.9 kg of nitrogen. Determine the mixture pressure if the ambient temperature is 27 ° C.

Task 1.58
Determine the diffusion coefficient of nitrogen at a pressure of 0.5-105 Pa and a temperature of 127 ° C.

Task 1.68
At what process is it more profitable to heat 2 moles of argon per 100 K:
A) isobaric;
B) isochoric.

Task 1.78
Find the change in entropy upon melting of 2 kg of lead and its further cooling from 327 to 0 ° C.