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The natural period of an undamped system is 3 sec, but with an damping force proportional to the velocity, the period becomes 5 sec. Find the differential equation of motion of the system and its solution.
a 18.0-kg cannonball is fired from a cannon with muzzle speed of850msat an angle of33.0degwith the horizontal. a second
A barge with a mass 1.50 X 10^5 kg is proceeding down river at6.2 m/s in heavy fog when it collides broadside with a bargeheading directly across the river. What are the speed and direction of motion of the first barge
An airplane takes off and flies 225 km on a course of 25 degrees north of west and then changes direction and flies 135 km due north where it lands. At what angle is the plane from the starting point
The amount of carbon- 14 in an ancientwooden bowl is found to be one-half that in a new piece ofwood. How old is the bowl
The drill bit of a variable-speed electric drill has a constant angular acceleration of 5.65 rad/s2. The initial angular speed of the bit is 6.56 rad/s. what angle has the bit turned through
18th Century cannon had a maximum range of 1.10 miles when fired on level ground. Find the velocity of the cannonball as it leaves the cannon
A net force of 36N accelerates a 5.1-kg mass over a distance of 12 m. What is the increase in kinetic energy of the mass
At t = 0 it is known that of 1000 neutrons in a one-dimensional box of width 10-5 cm, 100 have energy 4E1, How many neutrons are in the left half of the box
A capacitor with air between its plates is charged to 140 V and then disconnected from the battery. Whena piece of glass is placed between the plates, the voltage acrossthe capacitor drops to 30 V. What is the dielectric constant of the glass?
A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, then 1.0 km north, What was the bear's average speed
A 2.10-kg block is suspended from a spring with a spring constant of 480.0 N/m. What fraction of the original kinetic energy of the bullet appears as mechanical energy in the system of block-spring-bullet
a 65 kg person throws a .045 kg snowball forward with a speed of 30 ms. a second person with a mass of 60 kg catches
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