Chapter 1: Q1DQ (page 27)
How many correct experiments do we need to disprove a theory? How many do we need to prove a theory? Explain.
Short Answer
To disprove a theory, only one good experiment is required.Only one experiment is required.
Chapter 1: Q1DQ (page 27)
How many correct experiments do we need to disprove a theory? How many do we need to prove a theory? Explain.
To disprove a theory, only one good experiment is required.Only one experiment is required.
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Get started for freeA small rock is thrown vertically upward with a speed of22.0 m/s from the edge of the roof of a 30.0-m-tall building. Therock doesn’t hit the building on its way back down and lands onthe street below. Ignore air resistance. (a) What is the speed of therock just before it hits the street? (b) How much time elapses fromwhen the rock is thrown until it hits the street?
The driver of a car wishes to pass a truck that is traveling at a constant speed of(about). Initially, the car is also traveling at, and its front bumper isbehind the truck’s rear bumper. The car accelerates at a constant 0.600, then pulls back into the truck’s lane when the rear of the car isahead of the front of the truck. The car islong, and the truck is 21.0m long. (a) How much time is required for the car to pass the truck? (b) What distance does the car travel during this time? (c) What is the final speed of the car?
A hammer with mass m is dropped from rest from a height h above the earth’s surface. This height is not necessarily small compared with the radiusof the earth. Ignoring air resistance, derive an expression for the speed v of the hammer when it reaches the earth’s surface. Your expression should involve h,, and(the earth’s mass).
Planet Vulcan.Suppose that a planet were discovered between the sun and Mercury, with a circular orbit of radius equal to of the average orbit radius of Mercury. What would be the orbital period of such a planet? (Such a planet was once postulated, in part to explain the precession of Mercury’s orbit. It was even given the name Vulcan, although we now have no evidence that it actually exists. Mercury’s precession has been explained by general relativity.)
A closed and elevated vertical cylindrical tank with diameter 2.00 m contains water to a depth of 0.800 m. A worker accidently pokes a circular hole with diameter 0.0200 m in the bottom of the tank. As the water drains from the tank, compressed air above the water in the tank maintains a gauge pressure of 5 X 103Pa at the surface of the water. Ignore any effects of viscosity. (a) Just after the hole is made, what is the speed of the water as it emerges from the hole? What is the ratio of this speed to the efflux speed if the top of the tank is open to the air? (b) How much time does it take for all the water to drain from the tank? What is the ratio of this time to the time it takes for the tank to drain if the top of the tank is open to the air?
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