A rocket of mass M carries a mass m of fuel and starts from rest
Which method of burning the fuel would result in the greatest final speed of the rocket after all the fuel is burned if the velocity of the exhaust gas relative to the rocket is fixed at uex? A)
Burn the exhaust gas at an exponentially increasing rate until it is exhausted.
B)
Burn the fuel as slow as possible so the force on the rocket acts for the greatest time resulting in the greatest possible impulse to the rocket.
C)
Burn the fuel slowly until the rocket reaches a speed equal to uex and then burn the remainder as quickly as possible so that the exhaust gas has the minimum kinetic energy.
D)
Burn the exhaust gas at an exponentially decreasing rate to make it last forever.
E)
Burn all the fuel in as short a time as possible.
E
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The tension in each of two strings is adjusted so that both vibrate at exactly 666 Hz. The tension in one of the strings is then increased slightly. As a result, six beats per second are heard when both strings vibrate
What is the new frequency of the string that was tightened? A) 672 Hz B) 660 Hz C) 669 Hz D) 663 Hz
About how long will a 0.5-Mo star spend on the main sequence?
a. 6 billion years b. 62 billion years c. 620 million years d. 6 million years e. 600 thousand years
An electron, initially moving at 2.0 × 104 m/s along the +x-axis, experiences a constant acceleration of 1010 m/s2 in the +y direction. How far from its starting point is the electron after 4.0 × 10-6 seconds?
A) 8.0 m B) 11.3 m C) 9.8 m D) 11.3 cm E) 8.0 cm
Answer the following statement(s) true (T) or false (F)
1. In example C4.2, if we had modeled the atoms as solid spheres instead of modeling the nuclei as point-like particles, we would have gotten the same result for the system’s center of mass