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Question 1:

An object of mass m moving with a velocity v collides with another object of mass 2m. The two objects stick together and they collide with a third object of mass 3m. After the second collision the three objects move together at the same speed. What is the velocity of the three objects after the second collision?

Question 2:
An electric motor accelerates its rotation with a constant angular acceleration of 2 rad/s² until it reaches a frequency of f = 10/¶ Hz. If the motor starts from rest, how long does it take to reach frequency f?

Question 3:
Two satellites orbit the earth at radii r₁ and r₁. What is the ratio of the velocities of the two satellites?

Question 4:
250J of heat are added to a gas in a cylindrical container and then the gas does 120J of work on the top and bottom walls of the cylinder. What is the change in internal energy for the gas?

Question 5:


Three point charges of charge +Q are placed as shown above. At what point will a negative charge experience a force toward the bottom of the page?

Question 6:
Resistor R₁ = 5Ω and resistor R₂ = 10Ω are connected in series to a voltage source E = 60V. What is the ratio between the power dissipation in R₂ and the power dissipation in R₁?

Question 7:
Resistor R₁ = 4Ω and resistor R₂ = 6Ω are connected in series. If the tolerance of R₁ is 1% and the tolerance of R₂ is 2%, what is the tolerance of the equivalent resistor R?