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Using a graph like Figure 3.41, estimate to one decimal place the magnitude of the error in approximating sin x by x for -1 ≤ x ≤ 1. Is the approximation an over- or an underestimate?
A spring with constant k=15 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. it is then pulled down 6 cm and free. if the ball makes 30 oscillations in 20 seconds, what are its maximum speed.
It has been claimed that an insect called the froghopper (Philaenus spumarius) is the best jumper in the animal kingdom. How long did it take to reach that velocity
Write the time-domain expressions for the electric and magnetic field vectors for a wave traveling in the -z direction in seawater and having a frequency of 1 MHz.
A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 675 m/s. The gun is pointed directly at the center of the bull's-eye, What is the horizontal distance between the end of the rifle and the bull's-eye
Water is to be pumped to a top of a building, which is 145 m high. What measure pressure is needed in the water line at the base of the building to raise the water to this height? (The density of water = 1000 kg/ m3)
From another measurement, you have found that velocity of the jumper's center of mass has only a y component of v2=2.5 m/s as the jumper's feet leave the floor.
The hydrogen ion concentration,[H+], in a certain cleaning compound is [H+]=3.6*10^-12. Use the formula pH=-log[H+] to find the pH of the cleaning compound. Round to the nearest tenth.
Three negative charges of equal magnitudes are positioned along the x-axis at x = -a, x=0, and x = +a respectively. The charge located at x=0 is moved away along the y-axis to a position (x,y) = (0, +a). How does the potential energy of the system..
When playing fortissimo (very loudly), a trumpet emits sound energy at a rate of 0.750 W out of a bell (opening) of diameter 13.2 cm. What is the sound intensity level right in front of the trumpet
A particle has a charge of +1.7 ?C and moves from point A to point B, a distance of 0.12 m. The particle experiences a constant electric force, and its motion is along the line of action of the force. The difference between the particle's electric..
The wavelength of the laser beam used in a compact disc player is 483 nm. Estimate the spacing between the slits of the grating
A blacksmith heats a horseshoe (.25 kg iron) to an average temperature of 700oC. After working it on an anvil, he plunges it into five gallon bucket of water (at20 oC). Assuming that minimal energy is lost by boiling the water, what is the final temp..
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