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A rocket has iniistal mass 120kg and two-thirds of this mass is fuel. The air resistance force is given by F=-0.5v, where v is the velocity of the rocket. The rocket will be launched horizontally on frictionless rails from rest. While burning, the fuel is ejected at the rate of 0.8kg per second. The exhaust velocity of the fuel with respect to the rocket is 70 m/s. The rocket speeds up until the fuel is gone, then air resistance causes the rocket to slow back down. Find the times when the rocket is travelling at half of its maximum velocity. Note that there are two such times, one when the rocket is speeding up, and one when it is slowing back down.
Two 75 kg campers are in the middle of a creek in a 45 kg boatwithout a paddle. All they have on board the boat is a quantity of0.500 kg cans of beans.
A jet aircraft with a mass of 4,675 kg has an engine that exerts a force (thrust) equal to 60,100 N. what is the jet's acceleration
A car is driving directly north on the freeway at a speed of 117 km/h and a truck is leaving the freeway driving 76 km/h in a direction that is 40° west of north. What is the velocity of the truck relative to the car?
A 1055 kg van, stopped at a traffic light, is hit directly in the rear by a 735 kg car traveling with a velocity of +2.25 m/s. What is the final velocity of each vehicle
A billiard ball (the 8-ball) rests directly in front of the side pocket. Pool-hand Peta calls the shot into the side pocket to the right and shoots it in. Find the fraction of energy remaining after the collision
A uniform Gravitational Field: Calculate the Reimann curvature for the metric ds^2=-(1+gx)^2dt^2+dx^2+dy^2+dz^2, thereby showing this spacetime is flat. Find a coordinate transformation that puts this metric into the usual Minkowski form.
An electron in the beam of a typical television picture tube is accelerated through a potential difference of 20,000 V before it strikes the face of the tube. What is the speed of the electron?
In 1971, Apollo 14 astronaut Alan Shepard hit two golf balls while on the Moon. The first one rolled 40 yards into a nearby crater, Is the second ball still on the moon
define the speed of the particle when the string is parallel to the electric field.
A 150 g Copper bowl contains 220 g of water, at an initial temperature T1. A 300 g Copper cylinder at 7000 C is dropped into the water, How much energy is transferred to the bowl
A 3 meter diamter steel excess hatch is located 20 meter (center of gravity) below the water level of an intake structure. What is the total force on the hatch
An automobile is traveling directly west for 16 kilometer west at 90km/h, then it travels directly south for 8 kilometer at 80km/h, Find what is the change in velocity for those trip
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