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a body quadruples its momentum when its speed doubles what was the initial speed as fraction of c of the body


Solve the following ordinary differential equations:


a) 3d²y/dx²+dy/dx-14y=0 ; y(0)=1 , y'(0)=1



An object is being shot from a horizontal ground at an incline angle of 30 degree with respect to the ground at a speed of 46 m/s. Find the duration in seconds that the object is above the height of 19 m. Give your answer with one decimal place.



a satellite orbits earth at an altitude 356 kilometers above the planets surface. Compute for its (a) radius (b) speed (c) orbital period. (mE=5.97x10^24 kg)


a spring makes 10 vibrations in 5 seconds. Find the period and frequency of the vibration.


A boat moves at 10.00 m/s relative to the water. If the boat is in a river where the current is 2.00 m/s, how long

does it take the boat to make a complete round trip of 999 m upstream followed by another 999-m trip

downstream?


In a workshop,one end of a chain is attached to a wall and the other end to an engine of mass of 400kg. A rope is also attached to the engine at the same point and a force is applied in order to lift the engine. To keep the engineat restin the position shown in the diagram a force F must be applied. Write down the resultant force on the engine where force a F is applied so that the engine is stationary


a carousel starts spinning from rest to 75 radian/s after 5.0s. What is the average angular acceleration of the carousel?


The pressure inside a fire hose is 1.6 x 10^5 Pa and the water inside moves at 0.68 m/s. At the nozzle, the pressure decreases to atmospheric pressure. Using Bernoulli's Principle, determine the velocity of the water exiting the nozzle if there is no change in height

if an object travels around a circle with an angular displacement of 10.5 radians in 3.0 seconds what is its average angular velocity w in (rd/s)


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