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The potential at the surface of a sphere of radius R is given by V = kcos^2(x) where k is constant. Find the potential inside and outside the sphere as a function of r and x (assuming there is no ch
Tina begins to accelerate at a steady 2.70 m/s^2 at the instant when David passes. How far does Tina drive before passing David? What is her speed as she passes him?
Consider an alcohol and a mercury thermometer that read exactly 0°C at the ice point and 100°C at the steam point. The distance between the two points is divided into 100 equal parts in both
How long is the bridge? Write an equation for the bridge's height. And how far from the center of the bridge are two points if the bridge's height at those points is 30 meters.
A 27 pound meteorite struck a car, leaving a dent 18 cm deep in the trunk. If the meteorite struck the car with a speed of 550 m/s, what was the magnitude of its deceleration, assuming it to be con
A beam of light travels from a medium with an index of refraction of 1.95 to a medium with an index of refraction of 1.30. If the beam refracts at an angle of 23.5° from the normal, at what ang
Find the maximum angle between the string and the vertical:
Calculate the impulse delivered to the ball during impact. If the ball is in contact with the slab for a time of 1.60ms , find the average force on the ball during impact.
When you have traveled only half the distance in part (a), is your speed equal to, greater than, or less than 5.9 m/s? Support your answer with a calculation
The coefficient of static friction between the cubes is 0.71. What is the smallest magnitude that vector P can have in order to keep the small cube from sliding downward?
A straight vertical wire carries a current of 1.60A {rm A} downward in a region between the poles of a large electromagnet where the field strength is 0.565T {rm T} and is horizontal.
It starts at the bottom with initial speed 9.15 m/s, travels up the incline, stops, and slides back to the bottom at final speed 6.90 m/s. Using energy considerations, find: a) the energy used to ov
A 2.50m -long, 500g rope pulls a 7.00kg block of ice across a horizontal, frictionless surface. The block accelerates at 2.30m/s2 . How much force pulls forward on (a) the ice, (b) the rope?
Calculate the tension in a horizontal string that whirls a 1.6-kg {rm kg} toy in a circle of radius 2.0m m when it moves at 3.0m/s m/s on an icy surface
A certain string on a piano is tuned to produce middle C (f = 261.63 Hz) by carefully adjusting the tension is the string. For a fixed wavelength, what is the frequency when this tension is doubled
A weightlifter stands up at constant speed from a squatting position while holding a heavy barbell across his shoulders. Draw a free-body diagram for the weight lifter.
A person eats a dessert that contains 26o Calories. This skin temperature of this individual is 36 degrees Celsius and that of her environment is 21 degrees Celsius. The emissivity of her skin is 0
In the following diagram there is a coefficient of friction, μ, of 0.15 between the 5.0 kg mass and the surface. Calculate the tension in the cable connecting the two masses and the resulting ac
A source emits 531.62-nm and 531.81-nm light. What minimum number of grooves is required for a grating that resolves the two wavelengths in the first-order spectrum?
A community plans to build a facility to convert solar radiation to electrical power. They require 0.7 MW of power, and the system to be installed has an efficiency of 14% (that is, 14% of the solar
One simple model for a person running the 100m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line.
A mass of 3.700 kg is suspended from a 1.410 m long string. It revolves in a horizontal circle. The tangential speed of the mass is 2.632 m/s. Calculate the angle between the string and the vertica
The left with constant acceleration a. The cars are moving along the same lines directly toward each other. At what time do they collide, in terms of D, v0, and a?
Consider two conducting spheres with radii R1 and R2 separated by a distance much greater than either radius. A total charge Q is shared between the spheres. We wish to show that when the electric p
Assuming the sand causes a constant acceleration, what was the bicycle's acceleration in the sandy patch? Give both magnitude and direction.