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Q. A diving board oscillates with simple harmonic motion of frequency 5.6 cycles per second, see the figure below. What is the maximum amplitude with which the end of the board can vibrate in order that a pebble placed there not lose contact with the board during the oscillation?Q. A wooden raft has a mass of 92 kg. When empty it floats in water (density 1000 kg/m3) with 48% of its volume submerged. What mass of sand can be put on the raft without it sinking?
How many liters of gasoline would give the same mechanical energy given that each liter provides 8.50x10^6 J of mechanical energy.
A helicopter is ascending perpendicularly with a speed of 5.42 m/s. At a height of 146 m above the Earth, a package is dropped from a window. How much time does it take for package to reach the ground.
A hydrogen molecule with an initial velocity of 1200m / s makes a collision with a molecule of oxygen at rest. The reason for the masses of molecules is mO / mH = 16. What are the speeds of the molecules after collision.
A horizontal force of magnitude 100 N begins to pull directly on block. In unit-vector notation, what are the resulting accelerations of (a) block and (b) slab.
The leg and cast weigh 177N (w1). Find out the weight w2 and the angle α required so that no force is exerted on the hip joint by the leg plus cast.
What is kinetic energy of the shell
If water at 15°C is flowing through a 3cm diameter pipe with a velocity of 50 cm-1, calculate the Reynolds number. Is the flow turbulent or laminar?
Two spheres are launched horizontally from a 1.10 {rm m} high table. Sphere A is launched with an initial speed of 5{rm m/s}. Sphere B is launched with an initial speed of 3.0 {rm m/s}.
The ends of two thin glass tubes are stuck in the same pool of water. Although both tubes are thin, one tube has a smaller inside diameter (Tube 1) than the other (Tube 2). Both tubes are made of the same material. Would you expect the level in Tu..
An ideal heat-engine is to be used in an environment where the ambient temperature is 22.50 °C. What must be the minimum temperature of the hot heat reservoir in order to reach at least 46.40 percent efficiency with heat-engine? (Give the answer i..
Starting from rest, a speedboat reaches a speed of 2.30 m/s in 1.2 s. What is the boat's speed after an additional 2.50 s has elapsed, assuming the boat's acceleration remains the same.
How various meters away is a cliff if an echo is heard 0.475 s after the original sound? Assume that sound traveled at 343 m/s on that day.
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