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Q. A 2.10g bullet embeds itself in a 1.10kg block, which is attached to a spring of force constant 780 N/m.
1) If the maximum compression of the spring is 5.60 cm, find the initial speed of the bullet.
2) Find the time for the bullet-block system to come to rest.
Q. A 21 kg solid door is 220 cm tall, 94 cm wide. What is the door's moment of inertia for rotation about a vertical axis inside the door, 17 cm from one edge?
Calculate the shear stress of the crude oil at the walls, and plotting the velocity distribution graph for the same.
Compute the density of entropically raised element of air
An autographed baseball rolls off a 0.64m high desk and strikes the floor 0.61 m away from the desk. How fast was it rolling on the desk before it fell off? The acceleration of gravity is 9.80 m/s^2.
A space station, in the form of a wheel 133 m in diameter, rotates to provide an "artificial gravity" of 2.20 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of the wheel's rotation in revolutions per minute that wi..
If you connect these 3 resistors in series across a variable emf source of negligible internal resistance, what is the largest potential difference this emf source can be set to without damaging any of resistors.
A car carrying a 77-kg test dummy crashed into a wall at 27m/s and is brought to rest in 0.1 s. demonstrate that the average force exerted by the seat belt on the dummy is 18,760N.
Find the smallest particle size (density 2.65 grams per cubic cm) that will be removed in a horizontal grit chamber 10 meters long and 1.0 meter deep if the flow rate is 1000 cubic meters per hour. Suppose temperature is 25 ºC.
What is the potential energy of the elevator
A bumper car with mass m1 = 116 kg is moving to the right with a velocity of v1 = 5 m/s. A second bumper car with mass m2 = 96 kg is moving to the left with a velocity of v2 = -3.8 m/s. The two cars have an elastic collision. Suppose the surface is f..
The displacement of an object moving under uniform acceleration is some function of time and the acceleration. Suppose we write this displacement as s=ka^mt^n, where k is the dimensional constant. Show by dimensional analysis that this expression ..
A turntable that spins at a constant 80 rpm takes 3.70s to reach this angular speed after it is turned on. Find its angular acceleration (in rad/s^{2}), suppose it to be constant, and the number of degrees it turns through while speeding up.
A certain organ pipe, open at both ends, produces a fundamental frequency of 256 in air.If the pipe is filled with helium at the same temperature, what fundamental frequency will it generate ? Take the molar mass of air to be 28.8 and the molar ma..
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