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1. A light spring of force constant k = 162 N/m rests vertically on the bottom of a large beaker of water (Figure a). A 5.32-kg block of wood (density = 650 kg/m3) is connected to the spring, and the block-spring system is allowed to come to static equilibrium (Figure b). What is the elongation ΔL of the spring in cm?
2. A helium-filled balloon, whose envelope has a mass of 0.29 kg, is tied to a 3.9-m long, 0.051-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium, as in the figure below. Determine the value of h. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon. (The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3.)
In a physics lab, you attach a 0.200-kg air-track glider to the end of an ideal spring of negligible mass and start it oscillating. Find the spring force constant
Use a computer to calculate numerically the potential energy, per ion, for an infinite two-dimensional square ionic crystal with sepa- ration a; that is, a plane of equally spaced charges of magnitude e and alternating sign
A pool cue strikes a 0.16 kg billard ball with an average force of 11 N. the cue remains in contact with the ball for 0.065s. the ball was intially at rest. what is the final speed of the ball
The radius of the hydrogen atom is 0.053 nm. compute the frequency of the circular motion of the electron
To monitor the breathing of a hospital patient, a thinbelt is girded around the patient's chest. The belt is a233 turn coil. When the patient inhales,the area encircled by the coil increases by 39.0 cm2.
Consider a generator with a 300 turn coil on its armature and a uniform magnetic field of 4.6 T. The diameter of the coil is8.0 cm, In order to generate 385 VRMS, how fast do we need to rotate the coil
A size-5 soccer ball of diameter 22.6 and mass 426 rolls up a hill without slipping, reaching a maximum height of 3.50 above the base of the hill. At what rate was it rotating at the base of the hill
The wheel rotates freely about its axis and the string wraps around its circumference without slipping. Initially the wheel rotates with an angular speed w causing the block to rise in with a linear speed v. To what height does the block rise befo..
A model rocket is launched straight upward with the initial speed of 70m/s. It accelerates with a constant upward acceleration of 3 m/s2 until its engines stop at an altitude of 180 m.
A softball of mass 0.220 kg that is moving with a speed of 5.5 m/s collides head-on and elastically with another ball initially at rest. estimate the velocity of the target ball after the collision
When the water turns to ice during the night, heat is free into the plants, thereby giving them a measure of protection against the falling temperature. Assume a grower sprays 7.64 kg of water at 0°C onto a fruit tree.
Fairgoers ride the Ferrr is wheel by radius with a radius of 5.00m-.The wheel completes one revolution every 32 seconds. What is the apparent weight of a 65kg woman at the top and the bottom of the ride?
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