A mass of 0.40 kg, attached to a spring with a spring constant of 40 N/m, is set into simple harmonic motion. What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.25 m from the equilibrium position?
a. zero
b. 13 m/s2
c. 6.3 m/s2
d. 25 m/s2
e. 50 m/s2
d
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Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 2 sin (4x) cos (3t) where x is in m and t is in s. What is the speed (in m/s) of the interfering waves?
a. 0.75 b. 0.25 c. 1.3 d. 12 e. 3.0
The diagram shows three isotherms for an ideal gas, with T3 ? T2 the same as T2 ? T1. It also shows five thermodynamic processes carried out on the gas. Rank the processes in order of the change in the internal energy of th gas, least to greatest.
A. I, II, III, IV, V B. V, then I, III, and IV tied, then II C. V, I, then III and IV tied, then II D. IV, V, III, I, II E. II, I, then III, IV, and V tied
An inventor tries to sell you his new thermodynamic engine that takes in 40 J of energy at 87°C on each cycle, expels 30 J at 27°C, and does 10 J of work
Would it be wise to invest in this engine? Back up your conclusion with numerical calculations.
Momentum: A firecracker breaks up into two pieces, one of which has a mass of 200 g and flies off along the +x-axis with a speed of 82.0 m/s. The second piece has a mass of 300 g and flies off along the +y-axis with a speed of 45.0 m/s. What is the total momentum of the two pieces?
A. 361 kg ? m/s at 56.3° from the +x-axis B. 93.5 kg ? m/s at 28.8° from the +x-axis C. 21.2 kg ? m/s at 39.5° from the +x-axis D. 361 kg ? m/s at 0.983° from the +x-axis E. 21.2 kg ? m/s at 56.3° from the +x-axis