A simple pendulum, 2.00 m in length, is released from rest when the support string is at an angle of 35.0 from the vertical. What is the speed of the suspended mass at the bottom of the swing? (g = 9.80 m/s2 and ignore air resistance)
a. 0.941 m/s
c. 2.66 m/s
b. 1.88 m/s
d. 1.33 m/s
[Ques. 2] Which of the following increases the internal energy of a solid metal rod?
a. raising it to a greater height
c. having the rod conduct heat
b. throwing it through the air
d. having the rod absorb heat
[Ques. 3] A baseball catcher puts on an exhibition by catching a 0.15-kg ball dropped from a helicopter at a height of 91 m. What is the speed of the ball just before it hits the catcher's glove 1.0 m above the ground? (g = 9.8 m/s2 and ignore air resistance)
a. 84 m/s
c. 42 m/s
b. 38 m/s
d. 19 m/s
[Ques. 4] A 5-mol ideal gas system undergoes an adiabatic free expansion (a rapid expansion into a vacuum), going from an initial volume of 10 L to a final volume of 20 L. How much work is done on the system during this adiabatic free expansion?
a. -50 J
c. zero
b. -10 J
d. +50 J
[Ques. 5] A 10.0-kg box starts at rest and slides 6.0 m down a ramp inclined at an angle of 10 with the horizontal. If there is no friction between the ramp surface and crate, what is the velocity of the crate at the bottom of the ramp? (g = 9.8 m/s2)
a. 6.1 m/s
c. 10.7 m/s
b. 3.5 m/s
d. 4.5 m/s
[Ques. 6] A quantity of monatomic ideal gas expands adiabatically from a volume of 2.0 liters to 4.0 liters. If the initial pressure is P0, what is the final pressure?
a. 9.0P0
c. 0.31P0
b. 6.2P0
d. 0.16P0
[Ques. 7] A 15.0-kg crate, initially at rest, slides down a ramp 4.0 m long and inclined at an angle of 20 with the horizontal. If there is no friction between ramp surface and crate, what is the kinetic energy of the crate at the bottom of the ramp? (g = 9.8 m/s2)
a. 200 J
c. 10 J
b. 690 J
d. 100 J
[Ques. 8] A 4-mol ideal gas system undergoes an adiabatic process where it expands and does 28 J of work on its environment. How much heat is received by the system?
a. -20 J
c. +28 J
b. zero
d. +7 J
[Ques. 9] Samantha pushes a 60-N crate up a ramp 20.0 m in length and inclined at 10 with the horizontal. What potential energy change does the crate experience?
a. 1200 J
c. 600 J
b. 210 J
d. 300 J
[Ques. 10] A 4-mol ideal gas system undergoes an adiabatic process where it expands and does 28 J of work on its environment. What is its change in internal energy?
a. 28 J
c. zero
b. -28 J
d. -7 J
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