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Suppose that a weight on a spring has an initial position of s(0)=-5 inches and a period of P=2 seconds. Find a function s(t)=acos(2πFt) that models the displacement of the weight.
The medians of a right triangle that are drawn from the vertices of the acute angles have lengths of 2√3 and √73. Find the length of the hypotenuse.
From a fixed point, a surveyor locates a pole at 215.6 ft due east and a bulding corner at 358.2 ft at 37.72 degrees north of east. What is the displacement of the building from the pole?
Using the capacitance C = 26 uF , calculate the current in the circuit 7.4 ms after the switch is closed. Assume that the capacitor is uncharged initially and that the emf of the battery is 9.0 V.
A bicycle with a 27-in diameter wheels has a chain ring with 52 teeth and a cog with 26 teeth. The cyclist is pedaling at 1 revolution per second. What is the velocity of the bicycle in mi/hr?
It operates while immersed in a damping fluid, selected so that the oscillation amplitude will decrease to 1.00% of its initial value in 7.13s. Find the required damping constant for the system.
A light truck with manual transmission has a circular brake drum with a diameter of d = 320 millimeters. Each brake pad, which presses against the drum, is s = 307 millimeters long. What central ang
The intensity at a location 26 m away from the sound source is 3.40 10-4 W/m2. What is the intensity at a spot that is 84 m away?
Question: A satellite photographs a path on the surface of the Earth that is 1800 miles wide. Find the central angle that intercepts an arc 1800 miles on the surface of the Earth. (radius 3950 miles
The sound intensity during a normal conversation is about 3.20 10-6 W/m2 at the listener's ear. Assume the sound strikes the surface of the ear perpendicularly. How much power is intercepted by t
The period and wavelength of a wave on this string are 3.82 10-3 s and 1.26 m, respectively. Find the linear density of the string.
Points A and B are on the same horizontal line with the foot of a hill and the angles of depression of these points from the top of the hill are 30.2 and 22.5, respectively. If the distance between
A particle of mass 1*10-5 kg has a negative charge of -10 C. What is the magnitude and direction of the magnetic field acting upon it?
A 1.11-µH inductor is connected in series with a variable capacitor in the tuning section of a short wave radio set. What capacitance tunes the circuit to the signal from a transmitter broa
A woman rides a bicycle for 1 hour and travels 15 kilometers. Find the angular velocity of the wheel if the radius is 30 centimeters. (Round your answer to the nearest hundredth.)
A jellyfish is floating in a water filled aquarium 1.00 m behind a flat pane of glass 6.00 cm thick. Where is the image of the jellyfish located when the glass is so thin that it's thickness can be
A child sits on the outer edge of a 18 m radius merry-go-round. If the parent applies a tangential acceleration of 2.5 m/s2, how long will it take the child to achieve a velocity of 8.3 rad/s?
How much time does it take to reach an angular velocity of 8.00 rad/s starting from rest? Through how many revolutions does the wheel turn in this interval?
When 1.5 kg of a cold metal at a temperature of 258 K is immersed in 2.5 kg of water at a temperature of 343 K, the final temperature of the mixture was 333 K. What is the specific heat capacity of
That is, their positive terminals are connected by a wire and their negative terminals are connected by a wire. What is the terminal voltage of each battery in this configuration?
A distance of 7.4 cm below the starting point. If instead of having been lowered slowly the object was dropped from rest, how far then would the spring stretch?
At what rate must the magnitude of B change to induce a 10A current in the loop?
What is the minimum thickness of Styrofoam insulation (k = 0.030 W/m. K) that must be applied to the top and side walls to ensure a heat load of less than 500 W, when the inner and outer surfaces ar
Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop's plane at an edge.
Calculate the inductance (SI units: Henries) of a coil of wire having a loop diameter of 0.5 cm and length of 1 cm. The wire has 1000 loops per meter.