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physics
particle physics
Questions and Answers of
Particle Physics
Two collisions are carried out to crash-test a \(1000-\mathrm{kg}\) car. (a) While moving at \(15 \mathrm{mi} / \mathrm{h}\), the car strikes an identical car initially at rest. (b) While moving at
A space traveler discovers an object that accelerates in her reference frame. Which conclusion is correct? (a) Her reference frame is noninitial. (b) The object is not isolated. (c) You cannot tell.
A jogger starts from rest along a straight track. Consider the jogger-Earth system to be isolated. As the jogger's speed increases, does the speed of Earth change or remain constant?
Is it always possible to choose a zero-momentum reference frame for an isolated system that contains more than two objects?
Starting from rest, a car accelerates for \(7.0 \mathrm{~s}\) at \(3.0 \mathrm{~m} / \mathrm{s}^{2}\) and then travels at constant velocity for another \(4.0 \mathrm{~s}\). Make a motion diagram
You are bicycling at a steady \(6.0 \mathrm{~m} / \mathrm{s}\) when someone suddenly walks into your path \(2.5 \mathrm{~m}\) ahead. You immediately apply the brakes, which slow you down at \(6.0
Suppose a ball is dropped from height \(h=20 \mathrm{~m}\) above the ground. How long does it take to hit the ground, and what is its velocity just before it hits?
A stone is launched straight up from ground level at a speed of \(8.0 \mathrm{~m} / \mathrm{s}\). (a) How high does it rise? (b) How many seconds does it take for the stone to hit the ground?
Suppose an object initially at \(x_{\mathrm{i}}\) at \(t_{\mathrm{i}}=0\) has a constant acceleration whose \(x\) component is \(a_{x}\). Use calculus to show that the \(x\) component of the velocity
Two stones are released from rest at a certain height, one \(1 \mathrm{~s}\) after the other. (a) Once the second stone is released, does the difference in their speeds increase, decrease, or stay
Which of the graphs in Figure 3. 12 depict(s) an object that starts from rest at the origin and then speeds up in the positive \(x\) direction?Data from Figure 3.12 (a) (b) (c) (d)
Which of the graphs in Figure 3. 13 depict(s) an object that starts from a positive position with a positive \(x\) component of velocity and accelerates in the negative \(x\) direction?Data from
Draw a motion diagram for an object that initially has a negative \(x\) component of velocity but has a positive \(x\) component of acceleration. (Include motion in one direction only.)
Two identical hockey pucks slide over the same rough surface. The time interval needed for puck 2 to stop is twice that needed for puck 1 to stop. What explanation can there be for this?
Figure P4.2 shows the velocity of a block of wood as a function of time. The block is sliding over a horizontal surface. Describe the physical processes that led to this graph.Data from Figure P4.2
The velocity-versus-time graph in Figure P4.3 shows the motion of two different objects sliding across a horizontal surface. Could the change in the \(x\) component of velocity with time be
Consider the two velocity-versus-time graphs shown in Figure P4.4. Are the motions represented by these curves best described as similar or as different? Is the effect of friction on the motion
Two objects collide on a low-friction track. Object 1 experiences a magnitude of change in velocity \(\left|\Delta \vec{v}_{1}\right|=3 \mathrm{~m} / \mathrm{s}\), while object 2 has \(\left|\Delta
In a collision experiment, the ratio of the velocity change between two carts of equal inertia is found to equal 1. What happens to this ratio if the experiment is repeated in the following
Two carts of equal inertia are moving in opposite directions toward each other. Figure P4.7 represents the positions of the carts until they collide. Sketch the positions of the carts after the
Cart 1 initially at rest is struck by cart 2 , which has twice the inertia of cart 1. Figure P4.8 shows the velocity of cart 2 as a function of time. Complete the graph by adding the velocity of cart
Figure P4.9 is the position-versus-time graph for a collision, along a straight line, between two identical amusement-park bumper cars A and B. The inertias of the passengers are different. (a) Which
Figure P4.10 shows the \(v_{x}(t)\) curves for two carts, A and \(\mathrm{B}\), that collide on a low-friction track. What is the ratio of their inertias?Data from Figure P4.10 v, (m/s) 3.2 2.4 1.6 A
Figure P4.11 is a velocity-versus-time graph for two objects, A and B, before and after they collide. Object B is initially at rest. What factor relates the inertias of objects \(\mathrm{A}\) and
Which has greater inertia: a 1-quart milk carton filled with feathers or the same carton filled with buckshot?
A jeweler pounds a small ingot of gold into a thin sheet. What happens to the inertia of the gold?
Five different objects are formed from a constant volume \(V\) of different materials, and the objects are placed on various surfaces. Rank the following objects in order of increasing inertia: a
Which has greater inertia: a bottle full of water or the same bottle after the water has been drunk? Why is this so when the volume of the bottle does not change?
Does the inertia of a bicycle tire change when you add air to the tire?
The velocity-versus-time graphs in Figure P4.17 all depict the motion of carts that have the same size and shape. The different graphs show motion on different tracks: a smooth icy track, a dusty
The label on a bag of cookies lists the number of cookies in the bag, the serving size, and the number of calories per serving. Is each of these quantities intensive or extensive?
You are riding a bus and thinking about the number of passengers on board. (a) Is the number of passengers an extensive or intensive quantity? (b) Draw a system diagram to help account for the number
A quart is a unit of volume. (a) If you have 1 quart of water in one container and 1 quart of water in another container and you pour all the water from both into a larger container, what volume of
Figure P4.21 shows a person on a truck throwing a ball to a friend on the ground. In how many ways can you divide these things into a system and an environment?Data from Figure P4.21
If two carts collide on a low-friction track, it is possible for both carts to slow down. Yet Eq. \(4.1\left(\frac{m_{1}}{m_{3}}=-\frac{\Delta v_{c x}}{\Delta n_{a x}}\right)\) seems to say that,
Cart A, of inertia \(1.0 \mathrm{~kg}\), is initially at rest on a low-friction track; cart \(\mathrm{B}\), of unknown inertia, has an initial velocity of \(+3.0 \mathrm{~m} / \mathrm{s}\) in your
A \(2.0-\mathrm{kg}\) cart collides with a \(1.0-\mathrm{kg}\) cart that is initially at rest on a low-friction track. After the collision, the \(1.0-\mathrm{kg}\) cart moves to the right at \(0.40
A \(1-\mathrm{kg}\) standard cart collides with a \(5.0-\mathrm{kg}\) cart initially at rest on a low-friction track. After the collision, the standard cart is at rest and the \(5.0-\mathrm{kg}\)
Figure P4.26 is the position-versus-time graph for a collision between two carts on a low-friction track. Cart 1 has an inertia of \(1.0 \mathrm{~kg}\); cart 2 has an inertia of \(4.0
The bumper boats at your local theme park each have an inertia of \(90 \mathrm{~kg}\). In boat 1 are a man of unknown inertia, a \(45-\mathrm{kg}\) woman, and a \(3.0 \mathrm{~kg}\) dog. In boat 2
A 1-kg standard cart collides with a cart A of unknown inertia. Both carts appear to be rolling with significant wheel friction because their velocities change with time as shown in Figure P4.28. (a)
Which has greater momentum: a \(0.14-\mathrm{kg}\) baseball pitched at \(45 \mathrm{~m} / \mathrm{s}\) or a \(0.012-\mathrm{kg}\) bullet fired at \(480 \mathrm{~m} / \mathrm{s}\) ?
The student next to you says, "Momentum is inertia times velocity. That means momentum is proportional to inertia, and so things with more inertia have more momentum." What would you say to the
Two identical cars traveling at \(20 \mathrm{~m} / \mathrm{s}\) both slow to a stop. The driver of car A applies the brakes hard, so that the car comes to a stop in \(3.0 \mathrm{~s}\), while the
A bicyclist coasting along a road at speed \(v\) collides with a grasshopper flying in the opposite direction at the same speed. The grasshopper sticks to the bicyclist's helmet. Make a sketch
Is it possible for the momentum of a system consisting of two carts on a low-friction track to be zero even if both carts are moving?
A \(1.0-\mathrm{kg}\) standard cart A collides with a \(0.10-\mathrm{kg}\) cart B. The \(x\) component of the velocity of cart \(\mathrm{A}\) is \(+0.60 \mathrm{~m} / \mathrm{s}\) before the
You're rolling solid rubber balls on the kitchen floor. Ball 1 has a density of \(1.00 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}\) and a radius of \(25.0 \mathrm{~mm}\). Ball 2 has an unknown
What is the magnitude of the momentum change of two gallons of water (inertia about \(7.3 \mathrm{~kg}\) ) as it comes to a stop in a bathtub into which it is poured from a height of (2.0 m} ?
From what height would a car have to fall in order for the magnitude of its momentum to equal the magnitude of its momentum when it is moving on a highway at 30 m/s ?
(a) Write an expression relating the average acceleration, \(\Delta p\), and \(\Delta t\) for an object of constant inertia \(m\). (b) Given your result in part \(a\), what can you say about the
You drop a \(0.15-\mathrm{kg}\) ball to the floor from a height of \(2.0 \mathrm{~m}\), and it bounces to a height of \(1.6 \mathrm{~m}\). What is the magnitude of the change in its momentum as a
When a rifle is fired, it recoils, kicking backward into the shooter's shoulder. Why?
A \(4.0-\mathrm{kg}\) rifle fires a \(10 \mathrm{~g}\) bullet at \(800 \mathrm{~m} / \mathrm{s}\). With what speed does the rifle recoil (move backward toward the shooter's shoulder)?
What is the magnitude of the momentum of the system that consists of all the molecules making up the air in your dorm room?
A car collides with a telephone pole. Which of the following form(s) an isolated system: \((a)\) the car alone; \((b)\) the car and the pole; \((c)\) the car, the pole, and Earth?
Start walking from a standstill. Can you consider your body an isolated system?
In a pairs skating competition, a \(75-\mathrm{kg}\) male skater moving at \(4.0 \mathrm{~m} / \mathrm{s}\) collides (gently) with his stationary, \(50-\mathrm{kg}\) female partner and raises her in
A girl wearing ice skates stands in a skating rink and throws her backpack to a bench just off the ice. (a) If her skates are aligned parallel to the direction of the throw, what happens to her as a
A cart moving on a low-friction track has a momentum of \(6 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}\) to the right. At the end of the track is a wall. (a) What is the momentum of the system that
What does conservation of momentum say about the motion of a single cart that doesn't collide with anything as it moves on a low-friction track?
The three carts described in the accompanying table collide simultaneously. What is the momentum of the system of three carts (a) before the collision and (b) after the collision?(c) Is the system
Two carts collide on a low-friction track. Cart 1 has an initial momentum of \((+10 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}) \hat{i}\) and a final momentum of \((-2.0 \mathrm{~kg} \cdot \mathrm{m}
Two carts A and B collide on a low-friction track. Measurements show that their initial and final momenta are \(\vec{p}_{\mathrm{A}, \mathrm{i}}=(+10 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s})
Two carts A and B collide on a low-friction track. Measurements show that their initial and final momenta are \(\vec{p}_{\mathrm{A}, \mathrm{i}}=(+3.0 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s})
A moving object collides with an object at rest. (a) Is it possible for both objects to be at rest after the collision? (b) Is it possible for just one object to be at rest after the collision? If
Estimate the magnitude of impulse that you impart to a nail (and to whatever the nail is buried in) when you hit it with a hammer.
A \(1200-\mathrm{kg}\) automobile traveling at \(15 \mathrm{~m} / \mathrm{s}\) collides headon with a \(1600 \mathrm{~kg}\) automobile traveling at \(10 \mathrm{~m} / \mathrm{s}\) in the opposite
A \(2.0-\mathrm{kg}\) cart and a \(3.0-\mathrm{kg}\) cart collide on a low-friction track. The \(3.0-\mathrm{kg}\) cart is initially moving at \(1.0 \mathrm{~m} / \mathrm{s}\) to the right, but after
Warmly dressed in several layers of clothing, you are standing at the center of a frozen pond. There is not enough friction to permit you to walk to the edge of the pond. How can you save yourself?
Two male moose charge at each other with the same speed and meet on a icy patch of tundra. As they collide, their antlers lock together and they slide together with one-third of their original speed.
An \(80-\mathrm{kg}\) physicist and a friend are ice-skating. The physicist, distracted, collides from behind at \(7.0 \mathrm{~m} / \mathrm{s}\) with his friend, who is skating at \(5.0 \mathrm{~m}
You are driving your \(1000-\mathrm{kg}\) car at a velocity of \((20 \mathrm{~m} / \mathrm{s}) \hat{\imath}\) when a \(9.0 \mathrm{~g}\) bug splatters on your windshield. Before the collision, the
Sledding down a hill, you are traveling at \(10 \mathrm{~m} / \mathrm{s}\) when you reach the bottom. You (inertia \(70 \mathrm{~kg}\) ) then move across horizontal snow toward a \(200-\mathrm{kg}\)
A fire hose sprays water against a burning building. The stream of water has cross-sectional area \(A\) and density \(ho\) and moves with speed \(v\) toward the building. Assume the water splatters
Playing pool, you send the cue ball head-on (that is, along the line joining the centers of the two balls) into the stationary 8 ball, and the cue ball stops as a result of the collision. (a)
Three identical carts on a low-friction track have putty on their ends so that they stick together when they collide. In Figure P4.64a, two carts already stuck together and moving with speed \(v\)
A load of coal is dropped from a bunker into a railroad hopper car of inertia \(3.0 \times 10^{4} \mathrm{~kg}\) coasting at \(0.50 \mathrm{~m} / \mathrm{s}\) on a level track. The car's speed is
Three identical carts on a low-friction track have putty on their ends so that they stick together when they collide. In Figure P4.66a, two carts already stuck together and moving at speed \(v\)
Figure \(\mathrm{P} 4.67\) is a momentum-versus-time graph for a collision between two carts. Carts 1 and 2 have inertias of \(1.0 \mathrm{~kg}\) and \(3.0 \mathrm{~kg}\), respectively. What are the
Carts A and B collide on a low-friction track. Rank, from largest to smallest, the following four collisions according to the magnitude of the change in the momentum of cart B, which has twice the
A red cart and a green cart, both traveling at speed \(v\) on a low-friction track, approach each other head-on. The red cart is moving to the right; the green cart, whose inertia is three times that
A \(1.0-\mathrm{kg}\) standard cart collides on a low-friction track with cart \(\mathrm{A}\). The standard cart has an initial \(x\) component of velocity of \(+0.40 \mathrm{~m} / \mathrm{s}\), and
A \(400-\mathrm{kg}\) shipboard cannon fires a \(20-\mathrm{kg}\) ball at \(60 \mathrm{~m} / \mathrm{s}\). The cannon's resulting recoil speed across the deck is regarded as excessive. How much
You point a tennis-ball serving machine straight up and put a piece of plastic wrap across the top of the barrel, placing a \(10 \mathrm{~g}\) marble on top of the barrel. When a \(58 \mathrm{~g}\)
A golf ball has one-tenth the inertia and five times the speed of a baseball. What is the ratio of the magnitudes of their momenta?
A \(30,000-\mathrm{kg}\) trailer truck approaches a one-lane bridge at \(2.2 \mathrm{~m} / \mathrm{s} ;\) a \(2400-\mathrm{kg}\) minivan approaches the bridge from the other direction at \(30
You and a friend are bowling. She rolls her \(4.5-\mathrm{kg}\) ball at \(10 \mathrm{~m} / \mathrm{s}\); you roll your ball at \(8.0 \mathrm{~m} / \mathrm{s}\). What inertia must your ball have if
Two identical carts collide in three experiments on a low-friction track. In each case, cart A initially has velocity \(\vec{v}\) and cart B is at rest. Sketch the velocity-versus-time graph for each
Draw diagrams that show the initial and final velocity vectors and the initial and final momentum vectors when a rapidly moving golf ball hits \((a)\) a golf ball at rest and \((b)\) a basketball at
The position of a certain airplane during takeoff is given by \(x=\frac{1}{2} b t^{2}\), where \(b=2.0 \mathrm{~m} / \mathrm{s}^{2}\) and \(t=0\) corresponds to the instant at which the airplane's
A bullet of inertia \(m_{\text {bullet }}\) is fired horizontally at a speed \(v_{\text {hullet, }}\) into a stationary wooden block of inertia \(m_{\text {block }}\) lying on a low-friction surface.
The speed of a bullet can be measured by firing it at a wooden cart initially at rest and measuring the speed of the cart with the bullet embedded in it. Figure P4.80 shows a \(12-\mathrm{g}\) bullet
The World War II-era rocket launcher called the bazooka was essentially a tube open at both ends. On the basis of momentum considerations, how is the firing of a bazooka different from the firing of
In a football game, a \(95-\mathrm{kg}\) player carrying the ball can run the \(50-\mathrm{m}\) dash in \(5.5 \mathrm{~s}\). Two opponents are available to stop him with a head-on tackle. One
In the days before rocketry, some people argued that rocket engines would not work in space because there is no atmosphere for the exhaust to push against. Even today, some people think that a rocket
In some collisions, the velocity of one participant changes little while that of the other changes a lot, as Figure P4.84 illustrates. (a) In which direction (positive or negative) are the objects
In a head-on collision between two cars of different inertias, you might prefer to be the driver of the car that has the greater inertia, at least if you considered momentum only. Why?
A single-stage rocket is in deep space coasting at \(v_{\text {rocket }, \mathrm{i}}=2.0 \times 10^{3} \mathrm{~m} / \mathrm{s}\). It fires its engine, which has an exhaust speed of \(v_{\text
In the process of moving out of your house, you are dropping stuff out a sccond-floor window to a friend \(4.0 \mathrm{~m}\) below. You are about to drop a \(6.0-\mathrm{kg}\) stereo speaker when you
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