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physics
mechanics
Conceptual Physics 11th edition Paul G. Hewitt - Solutions
A dart leaves the barrel of a blowgun at a speed v. The length of the blowgun barrel is L. Assume that the acceleration of the dart in the barrel is uniform. a. Show that the dart moves inside the barrel for a time of 2L/v. b. If the dart's exit speed is 15.0 m/s and the length of the blowgun is
In all three cases, A, B, and C, the crate is in equilibrium (no acceleration). From greatest to least, rank the amount of friction between the crate and the floor.
Consider a 100-kg box of tools in the locations A, B, and C. From greatest to least, rank thea. Masses of the 100-kg box of tools. b. Weights of the 100-kg box of tools.
Your empty hand is not hurt when it bangs lightly against a wall. Why does it hurt if you're carrying a heavy load? Which of Newton's laws is most applicable here?
Does the mass of an astronaut change when he or she is visiting the International Space Station? Defend your answer.
Gravity on the surface of the Moon is only 1/6 as strong as gravity on Earth. What is the weight of a 10-kg object on the Moon and on Earth? What is its mass on each?
What is your own mass in kilograms? Your weight in newtons?
A grocery bag can withstand 300 N of force before it rips apart. How many kilograms of apples can it safely hold?
Explain how Newton's first law of motion can be considered to be a consequence of Newton's second law.
Aristotle claimed that the speed of a falling object depends on its weight. We now know that objects in free fall, whatever their weights, undergo the same gain in speed. Why does weight not affect acceleration?
A race car travels along a raceway at a constant velocity of 200 km/h. What horizontal net force acts on the car?
Three identical blocks are pulled, as shown, on a horizontal frictionless surface. If tension in the rope held by the hand is 30 N, what is the tension in the other ropes?
Free fall is motion in which gravity is the only force acting, (a) Is a skydiver who has reached terminal speed in free fall? (b) Is a satellite above the atmosphere that circles Earth in free fall?
As you leap upward in a standing jump, how does the force that you exert on the ground compare with your weight?
When you jump vertically off the ground, what is your acceleration when you reach your highest point?
What is the acceleration of a rock at the top of its trajectory when it has been thrown straight upward? (Is your answer consistent with Newton's second law?)
A common saying goes, "It's not the fall that hurts you; it's the sudden stop." Translate this into Newton's laws of motion.
When your car moves along the highway at constant velocity, the net force on it is zero. Why, then, do you have to keep running your engine?
What is the net force on a 1-N apple when you hold it at rest above your head? What is the net force on it after you release it?
An astronaut tosses a rock on the Moon. What force(s) act(s) on the rock during its curved path?
Does a stick of dynamite contain force?
A parachutist, after opening her parachute, finds herself gently floating downward, no longer gaining speed. She feels the upward pull of the harness, while gravity pulls her down. Which of these two forces is greater? Or are they equal in magnitude?
Why will a sheet of paper fall more slowly than one that is wadded into a ball?
Upon which will air resistance be greater-a sheet of falling paper or the same paper wadded into a ball that falls at a faster terminal speed?
Hold a Ping-Pong ball and a golf ball at arm's length and drop them simultaneously. You'll see them hit the floor at about the same time. But, if you drop them off the top of a high ladder, you'll see the golf ball hit first. What is your explanation?
How does the terminal speed of a parachutist before opening a parachute compare to terminal speed after? Why is there a difference?
How does the gravitational force on a falling body compare with the air resistance it encounters before it reaches terminal velocity? After reaching terminal velocity?
Why is it that a cat that accidentally falls from the top of a 50-story building hits a safety net below no faster than if it fell from the twentieth story?
When and if Galileo dropped two balls from the top of the Leaning Tower of Pisa, air resistance was not really negligible. Assuming that both balls were of the same size, one made of wood and one of metal, which ball actually struck the ground first? Why?
If you drop a pair of tennis balls simultaneously from the top of a building, they will strike the ground at the same time. If you fill one of the balls with lead pellets and then drop them together, which one will hit the ground first? Which one will experience greater air resistance? Defend your
In the absence of air resistance, if a ball is thrown vertically upward with a certain initial speed, on returning to its original level it will have the same speed. When air resistance is a factor, will the ball be moving faster, the same, or more slowly than its throwing speed when it gets back
If a ball is thrown vertically into the air in the presence of air resistance, would you expect the time during which it rises to be longer or shorter than the time during which it falls? (Again use the "principle of exaggeration.")
Which contains more apples, a 1-pound bag of apples on Earth or a 1-pound bag of apples on the Moon? Which contains more apples, a 1-kilogram bag of apples on Earth or a 1-kilogram bag of apples on the Moon?
A 400-kg bear grasping a vertical tree slides down at constant velocity. What is the friction force that acts on the bear?
One pound is the same as 4.45 newtons. What is the weight in pounds of 1 newton?
If your friend Katelyn weighs 500 N, what is her weight in pounds?
Consider a 40-kg block of cement that is pulled sideways with a net force of 200 N. Show that its acceleration is 5 m/s2.
Consider a mass of 1 kg accelerated 1 m/s2 by a force of 1 N. Show that the acceleration would be the same for a force of 2 N acting on 2 kg.
Consider a business jet of mass 30,000 kg in takeoff when the thrust for each of two engines is 30,000 N. Show that its acceleration is 2 m/s2.
Leroy, who has a mass of 100 kg, is skateboarding at 9.0 m/s when he smacks into a brick wall and comes to a dead stop in 0.2 s. a. Show that his deceleration is 45 m/s2. b. Show that the force of impact is 4500 N.
A rock band's tour bus, mass M, is accelerating away from a STOP sign at rate a when a piece of heavy metal, mass M/6, falls onto the top of the bus and remains there. a. Show that the bus's acceleration is now 6/7a. b. If the initial acceleration of the bus is 1.2 m/s2, show that when the bus
As seen from above, a stubborn stump is pulled by a pail of ropes, each with a force of 200 N, but at different angles as shown. From greatest to least, rank the net force on the stump.
Nellie Newton hangs motionless by one hand from a clothesline. Which side of the line, a or b, has the greatera. Horizontal component of tension? b. Vertical component of tension? c. Tension?
Here we see a top view of an airplane being blown off course by wind in three different directions. Use a pencil and the parallelogram rule and sketch the vectors that show the resulting velocities for each case. Rank the speeds of the airplane across the ground from fastest to slowest.
Here we see top views of three motorboats crossing a river. All have the same speed relative to the water, and all experience the same river flow. Construct resultant vectors showing the speed and direction of the boats. Rank them from most to least fora. The time for the boats to reach the
A rocket becomes progressively easier to accelerate as it travels through space. Why is this so?
Two 100-N weights are attached to a spring scale as shown. Does the scale read 0, 100, or 200 N, or does it give some other reading?
If you exert a horizontal force of 200 N to slide a crate across a factory floor at constant velocity, how much friction is exerted by the floor on the crate? Is the force of friction equal and oppositely directed to your 200-N push? If the force of friction isn't the reaction force to your push,
When the athlete holds the barbell overhead, the reaction force is the weight of the barbell on his hand. How does this force vary for the case in which the barbell is accelerated upward? Downward?
Consider the two forces acting on the person who stands still-namely, the downward pull of gravity and the upward support of the floor. Are these forces equal and opposite? Do they form an action-reaction pair? Why or why not?
The photo shows Steve Hewitt and daughter Cretchen. Is Gretchen touching her dad, or is dad touching her? Explain.
A farmer urges his horse to pull a wagon. The horse refuses, saying that to try would be futile, for it would flout Newton's third law. The horse concludes that she can't exert a greater force on the wagon than the wagon exerts on her and, therefore, that she won't be able to accelerate the wagon.
You push a heavy car by hand. The car, in turn, pushes back with an opposite but equal force on you. Doesn't this mean that the forces cancel one another, making acceleration impossible? Why or why not?
The strong man will push the two initially stationary freight cars of equal mass apart before he himself drops straight to the ground. Is it possible for him to give either of the cars a greater speed than the other? Why or why not?
Suppose that two carts, one twice as massive as the other, fly apart when the compressed spring that joins them is released. What is the acceleration of the heavier cart relative to that of the lighter cart as they start to move apart?
If a Mack truck and Honda Civic have a head-on collision, upon which vehicle is the impact force greater? Which vehicle experiences the greater deceleration? Explain your answers.
Ken and Joanne are astronauts floating some distance apart in space. They are joined by a safety cord whose ends are tied around their waists. If Ken starts pulling on the cord, will he pull Joanne toward him, or will he pull himself toward Joanne, or will both astronauts move? Explain.
In a tug-of-war between Sam and Maddy, each pulls on the rope with a force of 250 N. What is the tension in the rope? If both remain motionless, what horizontal force does each exert against the ground?
Two people of equal mass attempt a tug-of-war with a 12-m rope while standing on frictionless ice. When they pull on the rope, each of them slides toward the other. How do their accelerations compare, and how fir does each person slide before they meet?
What aspect of physics was not known by the writer of this newspaper editorial that ridiculed early experiments by Robert H. Goddard on rocket propulsion above Earth's atmosphere? "Professor Goddard does not know the relation of action to reaction, and of the need to have something better than a
Can a pair of vectors with unequal magnitudes ever add to zero? Can three unequal vectors add to zero? Defend your answers.
A heavy bird sits on a clothesline. Will the tension in the clothesline be greater if the line sags a lot or if it sags a little?
The rope supports a lantern that weighs 50 N. Is the tension in the rope less than, equal to, or more than 50 N? Use the parallelogram rule to defend your answer.
The rope is repositioned as shown and still supports the 50-N lantern. Is the tension in the rope less than, equal to, or more than 50 N? Use the parallelogram rule to defend your answer.
For each of the following interactions, identify action and reaction forces, (a) A hammer hits a nail, (b) Earth gravity pulls down on a book, (c) A helicopter blade pushes air downward.
Why does vertically falling rain make slanted streaks on the side windows of a moving automobile? If the streaks make an angle of 45°, what does this tell you about the relative speed of the car and the falling rain?
Consider a stone at rest on the ground. There are two interactions that involve the stone. One is between the stone and Earth as a whole: Earth pulls down on the stone (its weight) and the stone pulls up on Earth. What is the other interaction?
A stone is shown at rest on the ground,(a) The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone.(b) What is the conventional name of the vector you have drawn?
Here a stone is suspended at rest by a string,(a) Draw force vectors for all the forces that act on the stone,(b) Should your vectors have a zero resultant?(c) Why or why not?
Here the same stone is being accelerated vertically upward.(a) Draw force vectors to some suitable scale showing relative forces acting on the stone.(b) Which is the longer vector, and why?
Suppose the string in the preceding exercise breaks and the stone slows in its upward motion. Draw a force vector diagram of the stone when it reaches the top of its path.
Here the stone is sliding down a friction-free incline.(a) Identify the forces that act on it, and draw appropriate force vectors,(b) By the parallelogram rule, construct the resultant force on the stone (carefully showing that it has a direction parallel to the incline-the same direction as the
Here the stone is at rest, interacting with both the surface of the incline and the block,(a) Identify all the forces that act on the stone, and draw appropriate force vectors.(b) Show that the net force on the stone is zero.
You hold an apple over your head, (a) Identify all the forces acting on the apple and their reaction forces, (b) When you drop the apple, identify all the forces acting on it as it falls and the corresponding reaction forces. Neglect air drag.
The strong man can withstand the tension force exerted by the two horses pulling in opposite directions. How would the tension compare if only one horse pulled and the left rope were tied to a tree? How would the tension compare if the two horses pulled in the same direction, with the left rope
Identify the action-reaction pairs of forces for the following situations: (a) You step off a curb, (b) You pat your tutor on the back, (c) A wave hits a rocky shore.
Consider a baseball player batting a ball, (a) Identify the action-reaction pairs when the ball is being hit and (b) While the ball is in flight.
What physics is involved for a passenger feeling pushed backward into the seat of an airplane when it accelerates along the runway during takeoff?
A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 25 m/s in 0.05 s. (a) What acceleration is imparted to the paper? (b) If the mass of the paper is 0.003 kg, what force does the boxer exert on it? (c) How much force does the paper exert on the boxer?
If raindrops fall vertically at a speed of 3 m/s and you are running at 4 m/s, how fast do they hit your face?
Forces of 3.0 N and 4.0 N act at right angles on a block of mass 2.0 kg. Show that the acceleration of the block is 2.5 m/s2.
Consider an airplane that normally has an airspeed of 100 km/h in a 100-km/h crosswind blowing from west to east. Calculate its ground velocity when its nose is pointed north in the crosswind.
You are paddling a canoe at a speed of 4 km/h directly across a river that flows at 3 km/h, as shown in the figure.(a) What is your resultant speed relative to the shore?(b) In approximately what direction should you paddle the canoe so that it reaches a destination directly across the river?
When two identical air pucks with repelling magnets are held together on an air table and released, they end up moving in opposite directions at the same speed, v. Assume the mass of one of the pucks is doubled and the procedure is repeated. a. From Newton's third law, derive an equation that shows
Marshall pushes crates starting from rest across the floor of his classroom for 3 S with a net force as shown. For each crate, rank the following from greatest to least.a. Impulse delivered b. Change in momentum c. Final speed d. Momentum in 3 s
A hungry fish is about to have lunch at the speeds shown. Assume the hungry fish has a mass 5 times that of the small fish. Immediately after lunch, for each case, rank from greatest to least the speed of the formerly hungry fish.
When a supertanker is brought to a stop, its engines are typically cut off about 25 km from port. Why is it so difficult to stop or turn a supertanker?
In terms of impulse and momentum, why is it important that helicopter blades deflect air downward?
It is generally much more difficult to stop a heavy truck than a skateboard when they move at the same speed. State a case in which the moving skateboard could require more stopping force. (Consider relative times.)
If a ball is projected upward from the ground with 10 kg∙m/s of momentum, what is Earth's momentum of recoil? Why do we not feel this?
When an apple falls from a tree and strikes the ground without bouncing, what becomes of its momentum?
In terms of impulse and momentum, why do padded dashboards make automobiles safer?
Why does a baseball catcher's mitt have more padding than a conventional glove?
A boxer can punch a heavy bag for more than an hour without tiring but will tire quickly when boxing with an opponent for a few minutes. Why?
Railroad cars are loosely coupled so that there is a noticeable time delay from the time the first car is moved until the last cars are moved from rest by the locomotive. Discuss the advisability of this loose coupling and slack between cars from the point of view of impulse and momentum.
If only an external force can change the velocity of a body, how can the internal force of the brakes bring a moving car to rest?
You are at the front of a floating canoe near a dock. You jump, expecting to land on the dock easily. Instead you land in the water. Explain.
Explain how a swarm of flying insects can have a net momentum of zero.
A fully dressed person is at rest in the middle of a pond on perfectly frictionless ice and must get to shore. How can this be accomplished?
If you throw a ball horizontally while standing on roller skates, you roll backward with a momentum that matches that of the ball. Will you roll backward if you go through the motions of throwing the ball, but instead hold on to it? Explain.
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