This graph plots planetary mass on the horizontal axis and planetary radius on the vertical axis. Which of the four points marked by one of the bold numbers 1 through 4 represents a planet that has about the same composition as Earth but is larger in both size and mass?

A) Point 1
B) Point 2
C) Point 3
D) Point 4


C) Point 3

Physics & Space Science

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The frequency of a simple pendulum does NOT depend on

A) its mass. B) its length. C) the acceleration due to gravity. D) all of the above E) none of the above

Physics & Space Science

Unused engine oil with a 100°C inlet temperature flows at a rate of 0.25 kg/sec through a 5.1-cm-ID pipe that is enclosed by a jacket containing condensing steam at 150°C. If the pipe is 9 m long, determine the outlet temperature of the oil. Also at what length of the pipe would the oil temperature be at 1100C?

GIVEN
• Unused engine oil flows through a pipe enclosed by a jacket containing condensing steam.
• Oil flow rate, m
= 0.25 kg/s.
• Oil inlet temperature, Tb,in = 100°C.
• Inner or inside diameter of pipe in which oil flows, D = 5.1 cm = 0.051 m.
• Length of heated pipe (heated by condensing steam) in which oil flows, L = 9 m.
• Temperature of condensing steam, Ts = 150°C.
FIND
• Temperature of oil, Tb,out, at the outlet of the 9-m-long heated pipe.
• Length of pipe at which oil temperature will be 1100C.
ASSUMPTIONS
• Steady-state flow of oil and its heating by the condensing steam in the outer jacket.
• The temperature of condensing steam is constant and uniform across the length of pipe.
• The thermal resistance of the pipe is negligible, and hence the inside surface temperature of the
pipe is Tw = Ts, this represents a uniform pipe surface temperature condition.
SKETCH

PROPERTIES AND CONSTANTS
for unused engine oil at Tb,in = 100°C
Density, ? = 840.0 kg/m3
Thermal conductivity, k = 0.137 W/(m K)
Absolute viscosity, ?b = 17.1 × 10–3 (Ns)/m2
Prandtl number, Pr = 276
Specific heat, cp = 2219 J/(kg K)
At the pipe surface temperature of 150°C, the absolute viscosity ?s = 5.52 × 10–3 (Ns)/m2

Physics & Space Science

Comets were likely a major agent in bringing both water and organic molecules to the surface of the early Earth

Indicate whether the statement is true or false

Physics & Space Science

If you toss a ball straight upward at 40 m/s, with no air resistance it returns to you at a speed of

A) zero. B) 10 m/s. C) 40 m/s. D) more than 40 m/s.

Physics & Space Science