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You are the ground-control commander of a 2000 kg scientific rocket that is approaching Mars at a speed of 25,000 km/h . It needs to quickly slow to 15,000 km/h to begin a controlled descent to the surface. If the rocket enters the Martian atmosphere too fast it will burn up, and if it enters too slowly, it will use up its maneuvering fuel before reaching the surface and will crash. The rocket has a new braking system: Several 5.0 kg "bullets" on the front of the rocket can be fired straight ahead. Each has a high-explosive charge that fires it at a speed of 139,000 m/s relative to the rocket. You need to send the rocket an instruction to tell it how many bullets to fire. Success will bring you fame and glory, but failure of this $500,000,000 mission will ruin your career.
A 50 kg crate slides down a ramp that is inclined by 30 degrees from the horizontal. Calculate the amount of energy lost by the crate due to friction in its journey down the ramp
Object A, which has been charged to + 29.2 nC, is at the origin. Object B, which has been charged to - 28.9 nC, is at ( x,y ) = ( 0.0;{rm cm},; 1.50 cm ).What is the y-component of force (vec{F}_{rm A ; on ; B})_{rm y} on B due to A.
A building has two open doors facing the bay. The walls of the building absorb sound well, so multiple reflections can be ignored. find the distance d between the door centers
At the distance of the earth from the sun, the pressureexerted by sunlight is about 10-5 Pa. what acceleration does this force give it
A person of mass 80kg stands at the center of a rotating merry-go-round platform of radius 3.2m, Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk
a gas has a initial volume of 1 m^3.it is expanded to five times its original volume through a quasistatic process for which p= av^4, how much work is done by the expanding gas
The catapult of the aircraft carrier USS Abraham Lincoln accelerates an F/A-18 Hornet jet fighter from rest to a takeoff speed of 77.33 in a distance of 93.57 . suppose constant acceleration.
An aluminum wire with a cross-sectional area of 3.9 x 10^(-6) m^2 carries a current of 1.9 A. Find the drift speed of the electrons in the wire
Two pole-vaulters just clear the bar at the same height. The first lands at a speed of 7.84 m/s, while the second lands at a speed of 8.32 m/s. find the speed at which the second vaulter clears the bar
The ideal gas law relates the temperature, pressure and volume of an ideal gas. How many molecules of gas are inside the balloon
A runner is practicing on a circular track that is 535 m in circumference. From the point farthest to the east on the track, he starts off running due south and follows the track as it curves around toward the west.
A 37-kg girl is bouncing on a trampoline. All through a certain interval after she leaves the surface of the trampoline, her kinetic energy decreases to 215 J from 430 J. How high does she rise during this interval? Avoid air resistance.
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