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A small trailer and its load have a total mass of 250-kg. The trailer is supported by two springs, each of constant 10 kN/m, and is pulled over a road, the surface of which can be approximated by a sine curve with an amplitude of 40 mm and a wavelength of 5 m (i.e., the distance between successive crests is 5 m and the vertical distance from crest to trough is 80 mm). Determine
(a) the speed at which resonance will occur,
(b) the amplitude of the vibration of the trailer at a speed of 50 km/h.
A particle of charge +3.03 x 10-6 C is 10.2 cmdistant from a second particle of charge -1.85 x 10-6 C.Calculate the magnitude of the electrostatic force between the particles.
A man stands on the roof of a building of height 13.9m and throws a rock with a velocity of magnitude 33.2 m/s at an angle of 31.7 degree above the horizontal. Calculate the maximum height above the roof reached by the rock
The isotope 218 84 Po (218.008965 u) can decay by eitheralpha or beta emission. What is the energy release in each case
A Young's interference experiment is performed with monochromatic green light (y=470nm). The separation between the slits is 0.120 mm, How far away from the slits is the screen
A rod of length L carries a uniform linear charge density of 5 nC/m. find the electric field due to this rod at a distance of 20cm
A hollow sphere of mass 1000kg and radius 25cm is rolling down an incline plane, making a beta angle horiozntally 30degrees. calculate the moment of inertia of the hollow sphere
A meter stick with a mass of 89.5 g is being supported at the 50 cm mark with a pivot that is 1.00 cm above the center of mass of the meter stick. The moment of inertia of stick about that point is 0.00746 kgm^2. What is the period of oscillation ..
An aircraft carrier is moving to the north at a constant 22 mph on a windless day. How fast must the plane be traveling relative to the deck of the aircraft carrier to take off if the plane is headed north
Ice of mass 45.5 g at -10.9° C is added to 212 g of water at 15.8° C in a 101 g glass container of specific heat 0.200 cal/g-°C at an initial temperature of 22.7° C
For a movie scene, a 71kg stuntman drops from a tree onto a 48kg sled that is moving on a frozen lake with a velocity of 12m/s toward the shore. obtain the speed of the sled after the stuntman is on board
A cylinder of wood, density 800 kg/m^3 is 2.5 m long. Cross sectional area of the cylinder is 0,4 m^2. determine To what depth will the cylinder sink
A piece of string wraps around a cylinder 8 times. The length of the string is 14 cm. calculate the circumference of the cylinder.
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