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Consider Iron asteroid (density 7900 kg/m^3) shaped like a cylinder 5.0 km long and 3.0 km in diameter. Imagine that we hollow it out so that what remains is a canlinke shell 100 m thick. The spin rate required to give an effective gravitational force of at least one-half of what one experience on earth turns out to be about 1 revolution per 100 s for an asteroid of this size. We are going to spin up the asteroid using two rocket engines attached on opposite sides of the asteroid's equator(considering the asteroid's flat ends to be its poles). These advacned nuclear rocket engines deliver an impulse per unit mass of 20,000 m/s.
1. How much fuel is required to spin up the asteroid?
2. How large is the mass of this fuel compared to the mass of the hollowed-out asteroid?
In a period of 1.0 s, 5.0 x10^23 nitrogen molecules strike a wall of area 7.80 cm2. If the molecules move at 270 m/s and strike wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N2 molecule is 4..
A 1500-kg car moving east at 28.00m/s collides with a 1720 kg car moving south at 15 m/s and the two cars stick together.
A bullet of mass 0.0022 kg initially moving at 503 m/s embeds itself in a large fixed piece of wood and travels 0.71 m before coming to rest. Assume that the acceleration of the bullet is constant.
A woman walks 290 m in the direction 37° east of north, then 177 m directly east. Find (a) the magnitude and (b) the angle (from due east) of her final displacement from the starting point. (c) Find the distance she walks.
What is the magnitude of the acceleration of rock.
You are designing a delivery ramp for crates containing exercise equipment. Calculate the maximum force constant of the spring kmax that can be used in order to meet the design criteria
A light train is travelling on a straight section of track at a constant speed of 15 rm m/s. As it approaches next station, it starts to slow down at a rate of 5 rm m/s^2 until it stops at the station.
The maximum transverse acceleration of a point at the middle of the segment is 8800 m/s^2 and the maximum transverse velocity is 3.50m/s.
The density of ice is 917 kg/m3 and the density of sea water is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 5.2m3. What is weight of the heaviest bear that the ice can support without sinking complete..
Throughout a race, runner runs 10.0 meters north, turns 45 degrees north of east, and runs 5 meters. Then, after a while, the runner turns due east and runs for 15 meters to finish the race. What is the magnitude and direction of the runner's tota..
What minimum heat is needed to bring 138g water at 22°C to the boiling point and completely boil it away.
Two loudspeakers are placed next to each other and driven by the same source at a frequency of 570Hz. A listener is in front of the speakers and on the line separating them.
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