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A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 81.0 m/s at ground level. The engines then fire, and the rocket accelerates upward at 4.20 m/s2 until it reaches an altitude of 1060 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of ?9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.)
(a) For what time interval is the rocket in motion above the ground?
(b) What is its maximum altitude?
(c) What is its velocity just before it hits the ground?
Imagine that the coefficient of kinetic friction between a certain 15kg box and the floor is 0.35. How hard would you have to push on it to move it at the constant speed of 2.6m/s across the floor.
The critical angle for total internal reflection for glycerine surrounded by air is 42.9°. Calculate the index of refraction of the substance
A particle of mass M decays into two identical particles each of mass m, where m = 0.4M. Prior to the decay, the particle of mass M has a total energy of 4 Mc2 in the laboratory reference frame. The velocities of decay product are along the directi..
An airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 18° south of east, What is the airplane's speed relative to the earth
An aluminum cup contains 225 g of water and a 40-g copper stirrer, all at 27°C. A 440-g sample of silver at an initial temperature of 85°C is placed in the water. Calculate the mass of the aluminum cup
A sled weighs 100N. It is held in place on a frictionless 20 degrees slope by a rope attached to a stake at the top, the rope is parallel to the slope. What is the normal force of slope acting on the sled.
Light of wavelength 640nm falls on two slits and produces an interference pattern in which the third-order bright red fringe is 48mm, obtain the separation of the two slits
An electric power station is producing 1.60 × 103 W of power that is to be sent to a small town located 11 km away, Find the power lost in heating the wires if the voltage is stepped up from 130 V to 1400 V
how much money does it cost to leave a 100 watt light bulb on for 1 hour if electricity sells for 10cents per kW-h. a) 1cent b) 8 cent c) 22 cent d) 44cent e)100 cent
What is the tangential velocity of a satellite in a circular orbit 300km above the surface of the Earth, How long does the satellite take to complete one orbit
a 20 kg mass sits on an inclined plane with friction making an angle of 50 degrees with respect to the horizontal. calculate the frictional force required to keep the mass from sliding down the incline
A container of volume 23 cm3 is initially filled with air. The container is after that evacuated at 0oC to a pressure of 30 mPa. How many molecules are in the container after evacuation if we suppose that air is an ideal gas.
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