2: For this problem the heights are low enough that the acceleration due to gravity can...

2: For this problem the heights are low enough that the acceleration due to gravity can be approximated as -g. (Note: even at low Earth orbit, such as the location of the International Space Station, the acceleration due to gravity is not much smaller then g. The apparent weightlessness is due to the space station and its occupants being in free-fall.)

A rocket is launched vertically from a launchpad on the surface of the Earth. The net acceleration (provided by the engines and gravity) is a₁ (known) and the burn lasts for t₁ seconds (known). Ignoring air resistance calculate:

a) The speed of the rocket at the end of the burn cycle.

b) The height of the rocket when the burn stops.

The main (now empty) fuel tank detaches from the rocket. The rocket is still propelled with the same acceleration as before due to the secondary fuel tank.

c) Calculate how long it takes for the main tank to fall back to the ocean back on the surface of the Earth in order to be recovered for next use.

d) Calculate the height of the rocket at the time when the tank hits the ocean.

e) At the time the main tank hits the ocean the secondary fuel tank runs out of fuel. Calculate the maximum height above the surface of the Earth that is reached by the rocket.

Expert Solution

genius_generous answered 1 year ago

2.) For this problem the heights are low enough that the acceleration due to gravity can...

2.) For this problem the heights are low enough that the acceleration due to gravity can be approximated as -g. (Note: even at low Earth orbit, such as the location of the International Space Station, the acceleration due to gravity is not much smaller then g. The apparent weightlessness is due to the space station and its occupants being in free-fall.) A rocket is launched vertically from a launchpad on the surface of the Earth. The net acceleration (provided by...

a.) Is the acceleration due to gravity a constant or will it vary from place to...

a.) Is the acceleration due to gravity a constant or will it vary from place to place on Earth? b.) What about on another planet or moon? c.) How does Newton's second law of motion compare to Universal Gravitation?

The surface pressure on Venus is 92.00 atmatm, and the acceleration due to gravity there is...

The surface pressure on Venus is 92.00 atmatm, and the acceleration due to gravity there is 0.894 gg. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the top but still pressurized at 92.00 atmatm just above the benzene. The tank has a diameter of 1.80 mm , and the benzene column is 11.10 mm tall. Ignore any effects due to the very high temperature on Venus. A) What total force is exerted on the...

What is the acceleration due to gravity on (a) Venus, (b) Pluto, and (c) the moon?

a) What is the acceleration due to gravity on (i) Venus, (ii) Pluto, and (iii) the...

a) What is the acceleration due to gravity on (i) Venus, (ii) Pluto, and (iii) the moon? b) Three objects, carrying charges of –4.0 x 10–6 C, –6.0 x 10–6 C and +9.0 x 10–6 C, respectively, are placed in a line, equally spaced from left to right by a distance of 0.50 m. Calculate the magnitude and direction of the next force acting on each that results from the presence of the other two.

Explain why it is necessary to include the density of and the value of the acceleration due to gravity

Explain why it is necessary to include the density of and the value of the acceleration due to gravity, g, in a precise definition of a millimeter of mercury (page 196).

On the moon the acceleration due to gravity is -1.6 m/s. a stone is dropped from...

On the moon the acceleration due to gravity is -1.6 m/s. a stone is dropped from a cliff on the moon and his the surface of the moon 40 seconds later. How do i find the position function of the stone?

On a planet, the acceleration due to gravity is only 7.2 m/s2. A person living on...

On a planet, the acceleration due to gravity is only 7.2 m/s2. A person living on that planet throws a football at 10 m/s at an angle of 48 degrees to the horizontal. The person is standing, so the ball launches from an initial height of 1.8 meters above the ground. (Ignore any air resistance here.) What maximum height from the ground would the ball reach? What would be the flight time before the ball gets back to the ground?

A rocket is fired from earth towards sun. Justify that acceleration due to gravity does not...

A rocket is fired from earth towards sun. Justify that acceleration due to gravity does not depend on mass of the rocket moving? Is the acceleration due to gravity on rocket at a point above earth, inversely related with square of distance of that point from earth? Explain shortly. Using the following data, how would you determine the point where the gravitational force on the rocket is zero? [ Note: neglect the attractive forces of other planets on the rocket]...

Assume that acceleration due to gravity is -32 ft/s^22. A rock is thrown straight downward with...

Assume that acceleration due to gravity is -32 ft/s^22. A rock is thrown straight downward with a velocity of -10 ft/s from a bridge which is 110 feet above a river. How long does it take for the rock to hit the water, and how fast is the rock traveling when it hits the water? please show all work, thank you.

Question