# Consider a spherical capacitor with inner radius “a” and outer radius

Get college assignment help at uniessay writers Consider a spherical capacitor with inner radius “a” and outer radius “b”. It is charged to q Coulombs. Calculate its capacitance in terms of a, b and q. Show your all steps.

## A diver 40 m deep in 10 C fresh water exhales

A diver 40 m deep in 10 C fresh water exhales a 1.5 cm diameter bubble.What is the bubble’s diameter just as it reaches the surface of the lake, where the water temperature is 20 C Assume that the air bubble is always in thermal equilibrium with the surrounding water.

## A hollow cylinder with an inner radius of 3mm and an

A hollow cylinder with an inner radius of 3mm and an outer radius of 20mm conducts a 3A current. What is the magnitude of the magnetic field at a point 12mm from its center? Assume that the current density is uniform throughout the wire.

## A skier of mass 69.3 kg is pulled up a slope

A skier of mass 69.3 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him a distance of 59.0 m up a 30.4Â° slope (assumed frictionless) at a constant speed of 1.97 m/s? (b) A motor of what power is required to perform this task?

## The roller-coaster car shown in Fig. 6-41 (h1 = 40 m,

The roller-coaster car shown in Fig. 6-41 (h1 = 40 m, h2 = 10 m, h3 = 26 m), is dragged up to point 1 where it is released from rest. Assuming no friction, calculate the speed at points 2, 3, and 4.

## Children in a tree house lift a small dog in a

Children in a tree house lift a small dog in a basket 5.50 m up to their house. If it takes 191 J of work to do this, what is the combined mass of the dog and basket?

## A baseball pitcher can throw a ball with a speed of

A baseball pitcher can throw a ball with a speed of 40. He is in the back of a pickup truck that is driving away from you. He throws the ball in your direction, and it floats toward you at a lazy 30. What is the speed of the truck?

## A screen is placed 50.0 cm from a single slit that

A screen is placed 50.0 cm from a single slit that is illuminated with light of wavelength 676 nm. If the distance between the first and third minima in the diffraction pattern is 3.00 mm, what is the width of the slit?

## calculate the price per kwh for a 12-volt automobile battery with

calculate the price per kwh for a 12-volt automobile battery with a 50 amp-hourcapacity that sells for \$40. If its weight is 45 lb, what is the energy density in watt-hours per lb?

## Tarzan and Jane, whose total mass is 130.0 kg, start their

Tarzan and Jane, whose total mass is 130.0 kg, start their swing on a 5.0 m long vine when the vine is at an angle of 30.0 degres with the horizontal. At the bottom of the arc, Jane,whose mass is 50.0 kg, releases the vine. What is the maximum height at which Tarzan can land on a branch after his swing continues? (Hint: Treat Tarzan’s and Jane’s energies as seperate quantities.)

## A person exerts a horizontal force of F = 174 N

Get college assignment help at uniessay writers A person exerts a horizontal force of F = 174 N in the test apparatus shown in the drawing. (h = 0.32 m.) Find the horizontal force M that his flexor muscle exerts on his forearm.

## A woman is riding a Jet Ski at a speed of

A woman is riding a Jet Ski at a speed of 24.9 m/s and notices a seawall straight ahead. The farthest she can lean the craft in order to make a turn is 21.5°. This situation is like that of a car on a curve that is banked at an angle of 21.5°. If she tries to make the turn without slowing down, what is the minimum distance from the seawall that she can begin making her turn and still avoid a crash?

## Find the net torque on the wheel in Figure P10.33 about

Find the net torque on the wheel in Figure P10.33 about the axle through O, taking a = 10.0 cm and b = 25.0 cm.

## A 0.105-kg hockey puck moving at 26 m/s is caught and

A 0.105-kg hockey puck moving at 26 m/s is caught and held by a 61-kg goalie at rest. With what speed does the goalie slide on the ice?

## Sally applies a horizontal force of 518 N with a rope

Sally applies a horizontal force of 518 N with a rope to drag a wooden crate across a floor with a constant speed. The rope tied to the crate is pulled at an angle of 54◦ relative to the floor.

## A tank having a volume of 0.100 m3 contains helium gas

A tank having a volume of 0.100 m3 contains helium gas at 130 atm. How many balloons can the tank blow up if each filled balloon is a sphere 0.300 m in diameter at an absolute pressure of 1.45 atm?

## You’ve recently read about a chemical laser that generates a 20-cm-diameter,

You’ve recently read about a chemical laser that generates a 20-cm-diameter, 27.0 MW laser beam. One day, after physics class, you start to wonder if you could use the radiation pressure from this laser beam to launch small payloads into orbit. To see if this might be feasible, you do a quick calculation of the acceleration of a 20-cm-diameter, 93.0 kg, perfectly absorbing block. What speed would such a block have if pushed horizontally 98.0 m along a frictionless track by such a laser?

## A sled and rider, gliding over horizontal, frictionless ice at 6.0

A sled and rider, gliding over horizontal, frictionless ice at 6.0 {rm m/s}, have a combined mass of 74 {rm kg}. The sled then slides over a rough spot in the ice, slowing down to 2.0 {rm m/s}.

## A woman is pushing a box along the ground. She is

A woman is pushing a box along the ground. She is exerting a horizontal force of 156 N on the box. The box has a mass of 84.0 kg, and has an opposing horizontal frictional force of 135 N. What is the coefficient of kinetic friction between the box and the ground

## a hockey puck slides off the edge of the table with

a hockey puck slides off the edge of the table with an initial velocity of 20.0m/s. the height of the table above the ground in 2.0m. what is the magnitude of the verticle component of the velocity of the puck just before it hits the ground?

## Mass spectrometer A mass spectrometer is a tool used to determine

Mass spectrometer A mass spectrometer is a tool used to determine accurately the mass of individual ionized atoms or molecules, or to separate atoms or molecules that have similar but slightly different masses. For example, you can deduce the age of a small sample of cloth from an ancient tomb, by using a mass spectrometer to determine the relative abundances of carbon-14 (whose nucleus contains 6 protons and 8 neutrons) and carbon-12 (the most common isotope, whose nucleus contains 6 protons and 6 neutrons). In organic material the ratio of 14C to 12C depends on how old the material is, which is the basis for “carbon-14 dating.” 14C is continually produced in the upper atmosphere by nuclear reactions caused by “cosmic rays” (high-energy charged particles from outer space, mainly protons), and 14C is radioactive with a half-life of 5700 years. When a cotton plant is growing, some of the CO2 it extracts from the air to build tissue contains 14C which has diffused down from the upper atmosphere. But after the cotton has been harvested there is no further intake of 14C from the air, and the cosmic rays that create 14C in the upper atmosphere can’t penetrate the atmosphere and reach the cloth. So the amount of 14C in cotton cloth continually decreases with time, while the amount of non-radioactive 12C remains constant. Here is a particular kind of mass spectrometer (see the figure). Carbon from the sample is ionized in the ion source at the left. The resulting singly ionized 12C and 14C ions have negligibly small initial velocities (and can be considered to be at rest). They are accelerated through the potential difference ΔV1. They then enter a region where the magnetic field has a fixed magnitude B = 0.19 T. The ions pass through electric deflection plates that are 1 cm apart and have a potential difference ΔV2 that is adjusted so that the electric deflection and the magnetic deflection cancel each other for a particular isotope: one isotope goes straight through, and the other isotope is deflected and misses the entrance to the next section of the spectrometer. The distance from the entrance to the fixed ion detector is a distance of w = 28 cm. There are controls that let you vary the accelerating potential ΔV1 and the deflection potential ΔV2 in order that only 12C or 14C ions go all the way through the system and reach the detector. You count each kind of ion for fixed times and thus determine the relative abundances. The various deflections insure that you count only the desired type of ion for a particular setting of the two voltages. (b) Determine the appropriate numerical values of ΔV1 and ΔV2 for 12C. Carry out your intermediate calculations algebraically, so that you can use the algebraic results in the next part. (c) Determine the appropriate numerical values of ΔV1 and ΔV2 for 14C.

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