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Chapter 1: Q3DQ (page 123)
A helium balloon hovers in mid-air, neither ascending nor descending. Is it in equilibrium? What forces act on it?
The balloon has zero acceleration which implies that it is in equilibrium. And only two forces act on the balloon; the force of gravity and the buoyant force.
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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?
An astronaut has left the International Space Station to test a new space scooter.
Her partner measures the following velocity changes, each taking place in a interval.
What are the magnitude, the algebraic sign, and the direction of the average acceleration in each interval?
Assume that the positive direction is to the right.
(a) At the beginning of the interval, the astronaut is moving toward the right along the x-axis at , and at the end of the interval she is moving toward the right at .
(b) At the beginning she is moving toward the left atrole="math" localid="1655276110547" , and at the end she is moving toward the left at .
(c) At the beginning she is moving toward the right at , and at the end she is moving toward the left atrole="math" localid="1655276636193" .
(a) Write each vector in Fig. E1.39 in terms of the unit vectors and . (b) Use unit vectors to express vector , where (c) Find the magnitude and direction .
Is a pound of butter on the Earth the same amount as a pound of butter on Mars? What about a kilogram of butter? Explain.
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鈥檚 rear bumper. The car accelerates at a constant 0.600, then pulls back into the truck鈥檚 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?
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