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Q. A 7000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs. Both springs are described by Hooke's law and have spring constants with k1 = 1500 N/m and k2 = 3300 N/m. After the first spring compresses a distance of 32.1 cm, the second spring acts with the first to increase the force as additional compression occurs as shown in the graph. The car comes to rest 47.0 cm after first contacting the two-spring system. Find the car's initial speed.
A 210 g, 49 bcm diameter turntable rotates on frictionless bearings at 54 rpm . A 25 g block sits at the center of the turntable. A compressed spring shoots block radically outward along a frictionless groove in the surface of the turntable.
Calculate P necessary to just start opening the 2 m wide gate.
500 J of work are completed to compress the gas while, in the same process, 1400 J of heat energy are transferred from the gas to the environment. Afterward, what is the rms speed of the molecules.
Two wires, each 28.15 cm long, are connected to two separate 9.00 V batteries as shown in the figure. The resistance of the first wire is 5.00 Ω, and that of other wire is unknown (R). If the separation between the wires is 4.55 mm, what value of R w..
A 15kg crate is moved along a horizontal floor by pulling on it with a rope that makes a 30 degree angle with the horizontal. The tension in the rope is 200N and the crate slides a distance of 10m.
A baseball leaves a pitcher's hand horizontally at a speed of 156km/h. The distance to the batter is 18.3 m. (overlook the effect of air resistance.) (a) How long does ball take to travel the first half of that distance? (b) The second half? (c) H..
A standardized biological microscope has an 8.0--focal-length objective. What focal-length eyepiece should be used to achieve a total magnification of.
Establish steady-state electric field inside Nichrome wire
A snowmobile climbs a hill at velocity v-up. The slope of the hill is a 2 ft rise for every 70 ft of distance. The resistive force of the snow is equal to 4.12 percent of the weight of the snowmobile. How fast will the snowmobile move downhill, assum..
A particle of mass M moves in one dimension along the positive x axis, under the influence of two forces. The first force is a constant force, with magnitude B and direction toward the origin. The second force is an inverse square law, with magnitude..
A string of 22 identical Christmas tree lights are connected in series to a 125 V source. The string dissipates 52 W. What is the comparable resistance of the light string.
A particular guitar string is supposed to vibrate at 214 Hz, but it is measured to actually vibrate at 272 Hz. By what percentage must the tension in string be changed to get the frequency to the accurate value.
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