A 2.00 kg pendulum bob on a string 1.50 m long is released with a velocity of 0.00 m/s when the support string makes an angle of 60.0 degrees with the vertical. What is the tension in the string at the bottom of the swing?
A. 60.4 N
B. 55.6 N
C. 50.1 N
D. 42.6 N
E. 39.2 N
E. 39.2 N
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Estimate (a) the heat transfer coefficient for a spherical fuel droplet injected into a diesel engine at 80°C and 90 m/s. The oil droplet is 0.025 mm in diameter, the cylinder pressure is 4800 kPa, and the gas temperature is 944 K. (b) Estimate the time required to heat the droplet to its self-ignition temperature of 600°C.
GIVEN
• An oil droplet injected into a diesel engine
• Initial droplet temperature (To) = 80°C
• Injection velocity (Ud) = 90 m/s
• Droplet diameter (D) = 0.025 mm = 2.5 × 10–5 m
• Cylinder pressure = 4800 kPa
• Gas temperature (T?) = 944 K = 671°C FIND (a) The heat transfer coefficient ( h c) (b) The time (t) required for the drop to reach 300°C ASSUMPTIONS
• Radiative heat transfer is negligible
• The gas has the properties of air and behaves as an ideal gas
• Only the density of the gas is affected by pressure
• Variation of the thermal conductivity of the oil with temperature is negligible
• Fuel has the same properties as unused engine oil
SKETCH
A Carnot engine operating between a reservoir of liquid mercury at its melting point (233 K) and a colder reservoir extracts of heat from the mercury and does of work during each cycle. What is the temperature of the colder reservoir?
A) 47 K B) 186 K C) 163 K D) 207 K
Mars currently lacks surface habitability mostly because of
A) the chemical composition of its atmosphere B) its distance from the Sun C) its small size D) the chemical composition of its surface
A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2. After 4.00 seconds the motor turns off, but the rocket continues to coast upward with no appreciable air resistance
What maximum elevation does the rocket reach? A) 327 m B) 487 m C) 160 m D) 408 m E) 320 m