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Question: An unstable nucleus of mass 1.7


An unstable nucleus of mass 1.7 x 10-26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 5.0 x 10-27 kg, moves in the positive y- direction with speed v1 = 6.0 x 106 m/s. Another particle, of mass m2 = 8.4 x 10-27 kg, moves in the positive x - direction with speed v2 = 4.0 x 106 m/s. Find the magnitude and direction of the velocity of the third particle.


> Explain what is meant by the term management by exception(see, for example, www.myaccountingcourse. com/accounting-dictionary/management-by-exception). What is the relationship between the process of standard cost variance analysis and management by exce

> Given the following attributes of an investment project with a 5-year life and an after-tax discount rate of 12%, calculate both the IRR and MIRR of the project using the built-in functions in Excel: investment outlay, time 0, $5,000; after-tax cash infl

> Explain how standard costs and flexible budgets can be used for short-term profit analysis—that is, for financial control purposes.

> One of the purported benefits of moving to a JIT system is improvements in customer response time (CRT). Define the following terms: total customer response time, manufacturing (production) cycle time, manufacturing cycle efficiency (MCE), value-added ti

> Describe how a just-in-time (JIT) manufacturing system is fundamentally different from a conventional manufacturing system. List two primary financial benefits associated with a shift to JIT manufacturing. What effect does the adoption of JIT have on the

> This chapter deals with control systems associated with business processes, such as operating processes. Provide a definition and some examples of operating processes. In what other processes would an organization engage in the normal course of business?

> What is the difference among a master budget, pro forma budgets, and a flexible budget? Explain.

> Name the five steps of the theory of constraints and explain the purpose of each. Which is the most important step and why?

> What is life-cycle costing? Why is it used?

> For what types of firms is target costing most appropriate and why?

> What does the concept of value engineering mean? How is it used in target costing?

> Do cost management practices change over the product’s sales life cycle? Explain how.

> What is the present value of a stream of 5 end-of-year annual cash receipts of $500 given a discount rate of 14%? (a) Use the appropriate table in the text (i.e., Appendix C, Table 2) and (b) the appropriate function in Excel (= PV) to answer this ques

> Do pricing strategies change over the different phases of the sales life cycle? Explain how.

> What does the term sales life cycle mean? What are the phases of the sales life cycle? How does it differ from the cost life cycle?

> Explain the two methods for reducing total product costs to achieve a desired target cost. Which is more common in the consumer electronics industries? In the specialized equipment manufacturing industries?

> At what phase in the product sales life cycle will prices likely be the highest: introduction, growth, maturity, or decline?

> Distinguish pricing based on the cost life cycle and pricing based on the sales life cycle, and give an example method for each.

> How is Takt time calculated, and what is it used for?

> Explain the difference in intended application between strategic pricing and life-cycle costing.

> For what types of firms is life-cycle costing most appropriate? Why?

> How important is product design in life-cycle costing? Why?

> For what types of firms is the theory of constraints analysis most appropriate? Why?

> What is the present value of $1,000 to be received 2 years from now, if the discount rate is (a) 10%, (b) 14%, and (c) 20%? Do the calculations first using the present value factors given in Appendix C, Table 1, then using the formula that appears at

> Brief Exercises 7-11 through 7-14 involve departmental cost allocation with two service departments and two production departments. Use the following information for these four exercises: How does your answer to 7-11 change if the cost in P1 is changed

> What type of professional certification is most relevant for the management accountant and why?

> A 45.0-cm diameter disk rotates with a constant angular acceleration of 2.50 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x - axis at this

> The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of 5.0 rev/s in 8.0 s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub slows to rest in 12.0 s

> A bicycle is turned upside down while its owner repairs a flat tire. A friend spins the other wheel and observes that drops of water fly off tangentially. She measures the heights reached by drops moving vertically (Fig. P7.8). A drop that breaks loose f

> A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min. When switched off, it rotates through 50.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.

> A 1.25-kg wooden block rests on a table over a large hole as in Figure P6.84. A 5.00-g bullet with an initial velocity vi is fired upward into the bottom of the block and remains in the block after the collision. The block and bullet rise to a maximum he

> A wooden block of mass M rests on a table over a large hole as in Figure P6.84. A bullet of mass m with an initial velocity vi is fired upward into the bottom of the block and remains in the block after the collision. The block and bullet rise to a maxim

> A 0.30-kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.20-kg puck that is initially moving along the x-axis with a velocity of 2.0 m/s. After the collision, the 0.20-kg puck has a speed of 1.0 m/s at an angle of θ = 53°

> A flying squid (family Ommastrephidae) is able to “jump” off the surface of the sea by taking water into its body cavity and then ejecting the water vertically downward. A 0.850-kg squid is able to eject 0.300 kg of water with a speed of 20.0 m/s. (a) Wh

> Measuring the speed of a bullet. A bullet of mass m is fired horizontally into a wooden block of mass M lying on a table. The bullet remains in the block after the collision. The coefficient of friction between the block and table is µ, and the block sli

> A 20.0-kg toboggan with 70.0-kg driver is sliding down a frictionless chute directed 30.0° below the horizontal at 8.00 m/s when a 55.0-kg woman drops from a tree limb straight down behind the driver. If she drops through a vertical displacement of 2.00

> Suppose the change in angular position for each of the pairs of values in Quick Quiz 7.1 occurred in 1 s. Which choice represents the lowest average angular velocity? Pairs of values From Quick Quiz 1: (a) 3 rad, 6 rad; (b) -1 rad, 1 rad; (c) 1 rad, 5 r

> A boy of mass mb and his girlfriend of mass mg, both wearing ice skates, face each other at rest while standing on a frictionless ice rink. The boy pushes the girl, giving her a velocity vg toward the east. Assume that mb > mg. (a) Describe the subsequen

> A 60-kg soccer player jumps vertically upwards and heads the 0.45-kg ball as it is descending vertically with a speed of 25 m/s. (a) If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediatel

> (a) A car traveling due east strikes a car traveling due north at an intersection, and the two move together as a unit. A property owner on the southeast corner of the intersection claims that his fence was torn down in the collision. Should he be awarde

> Two blocks collide on a frictionless surface. After the collision, the blocks stick together. Block A has a mass M and is initially moving to the right at speed v. Block B has a mass 2M and is initially at rest. System C is composed of both blocks. (a) D

> A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 2.00 x 104 N/m, as in Figure P6.75. The cannon fires a 2.00 x 102-kg projec

> A car of mass m moving at a speed v1 collides and couples with the back of a truck of mass 2m moving initially in the same direction as the car at a lower speed v2. (a) What is the speed vf of the two vehicles immediately after the collision? (b) What is

> A small block of mass m1 = 0.500 kg is released from rest at the top of a curved wedge of mass m2 = 3.00 kg, which sits on a frictionless horizontal surface as in Figure P6.73a. When the block leaves the wedge, its velocity is measured to be 4.00 m/s to

> Two objects of masses m and 3m are moving toward each other along the x-axis with the same initial speed v0. The object with mass m is traveling to the left, and the object with mass 3m is traveling to the right. They undergo an elastic glancing collisio

> A block with mass m1 = 0.500 kg is released from rest on a frictionless track at a distance h1 = 2.50 m above the top of a table. It then collides elastically with an object having mass m2 = 1.00 kg that is initially at rest on the table, as shown in Fig

> Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg are each released from rest at a height of h = 5.00 m on a frictionless track, as shown in Figure P6.70, and undergo an elastic headon collision. (a) Determine the velocity of each block just before the

> A rigid body is rotating counterclockwise about a fixed axis. Each of the following pairs of quantities represents an initial angular position and a final angular position of the rigid body. Which of the sets can occur only if the rigid body rotates thro

> Two blocks of masses m1 and m2 approach each other on a horizontal table with the same constant speed, v0, as measured by a laboratory observer. The blocks undergo a perfectly elastic collision, and it is observed that m1 stops but m2 moves opposite its

> A 730-N man stands in the middle of a frozen pond of radius 5.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2-kg physics textbook horizontally toward t

> A 0.400-kg blue bead slides on a frictionless, curved wire, starting from rest at point â’¶ in Figure P6.66, where h = 1.50 m. At point â’·, the bead collides elastically with a 0.600-kg green bead at rest. Find the maxi

> An amateur skater of mass M is trapped in the middle of an ice rink and is unable to return to the side where there is no ice. Every motion she makes causes her to slip on the ice and remain in the same spot. She decides to try to return to safety by rem

> A bullet of mass m and speed v passes completely through a pendulum bob of mass M as shown in Figure P6.64. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length, and negligible mass. What is the minimum value of

> A 2.0-g particle moving at 8.0 m/s makes a perfectly elastic head-on collision with a resting 1.0-g object. (a) Find the speed of each particle after the collision (b) Find the speed of each particle after the collision if the stationary particle has a m

> Consider a frictionless track as shown in Figure P6.62. A block of mass m1 = 5.00 kg is released from â’¶. It makes a head-on elastic collision at â’· with a block of mass m2 = 10.0 kg that is initially at rest. Calculat

> Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater t

> In research in cardiology and exercise physiology, it is often important to know the mass of blood pumped by a person’s heart in one stroke. This information can be obtained by means of a ballistocardiograph. The instrument works as follows: The subject

> Suppose an asteroid has a semimajor axis of 4 AU. How long does it take the asteroid to go around the Sun? (a) 2 years (b) 4 years (c) 6 years (d) 8 years

> A spaceship’s orbital maneuver requires a speed increase of 1.20 x 103 m/s. If its engine has an exhaust speed of 2.50 x 103 m/s, determine the required ratio Mi/Mf of its initial mass to its final mass. (The difference Mi - Mf equals the mass of the eje

> A spaceship at rest relative to a nearby star in interplanetary space has a total mass of 2.50 x 104 kg. Its engines fire at t = 0, steadily burning fuel at 76.7 kg/s with an exhaust speed of 4.25 x 103 m/s. Calculate the spaceship’s (a) Acceleration at

> A typical person begins to lose consciousness if subjected to accelerations greater than about 5g (49.0 m/s2) for more than a few seconds. Suppose a 3.00 x 104-kg manned spaceship’s engine has an exhaust speed of 2.50 x 103 m/s. What maximum burn rate |Δ

> NASA’s Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 x 106 N of thrust while burning fuel at a rate of 2.63 x 103 kg/s. Calculate the engine’s exhaust speed.

> One of the first ion engines on a commercial satellite used Xenon as a propellant and could eject the ionized gas at a rate of 3.03 x 10-6 kg/s with an exhaust speed of 3.04 x 104 m/s. What instantaneous thrust could the engine provide?

> The Merlin rocket engines developed by SpaceX produce 8.01 x 105 N of instantaneous thrust with an exhaust speed of 3.05 x 103 m/s in vacuum. What mass of fuel does the engine burn each second?

> A billiard ball moving at 5.00 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.33 m/s at an angle of 30.0° with respect to the original line of motion. (a) Find the velocity (magnitude and direction) of the

> Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 13.0 m/s toward the east, and the other is traveling north with velocity v2i. Neither driver sees the other. The vehicles collide in the intersection and stick

> A 2.00 x 103-kg car moving east at 10.0 m/s collides with a 3.00 x 103-kg car moving north. The cars stick together and move as a unit after the collision, at an angle of 40.0° north of east and a speed of 5.22 m/s. Find the speed and direction of the 3.

> Identical twins, each with mass 55.0 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 3.00 m/s to Twin B. Neglecting any gravity effects,

> A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) Four times as large (b) Twice as large (c)

> A 90.0-kg fullback running east with a speed of 5.00 m/s is tackled by a 95.0-kg opponent running north with a speed of 3.00 m/s. (a) Why does the tackle constitute a perfectly inelastic collision? (b) Calculate the velocity of the players immediately af

> A billiard ball rolling across a table at 1.50 m/s makes a headon elastic collision with an identical ball. Find the speed of each ball after the collision (a) When the second ball is initially at rest, (b) When the second ball is moving toward the first

> A 25.0-g object moving to the right at 20.0 cm/s overtakes and collides elastically with a 10.0-g object moving in the same direction at 15.0 cm/s. Find the velocity of each object after the collision.

> A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass m1 = 48.0 kg travels in the positive x - direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane

> A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, falling through a distance of 1.20 m, as shown in Figure P6.45. (a) Find the magnitude

> A 1200-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 9000-kg truck moving in the same direction at 20.0 m/s (Fig. P6.44). The velocity of the car right after the collision is 18.0 m/s to the e

> A 12.0-g bullet is fired horizontally into a 100-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 150 N/m. The bullet becomes embedded in the block. If the bullet– block system

> An bullet of mass m = 8.00 g is fired into a block of mass M = 250 g that is initially at rest at the edge of a table of height h = 1.00 m (Fig. P6.42). The bullet remains in the block, and after the impact the block lands d = 2.00 m from the bottom of t

> A 0.030-kg bullet is fired vertically at 200 m/s into a 0.15-kg baseball that is initially at rest. How high does the combined bullet and baseball rise after the collision, assuming the bullet embeds itself in the ball?

> Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at 5.00 m/s as in Figure P6.4

> A ball is falling toward the ground. Which of the following statements are false? (a) The force that the ball exerts on Earth is equal in magnitude to the force that Earth exerts on the ball. (b) The ball undergoes the same acceleration as Earth. (c) The

> In a Broadway performance, an 80.0-kg actor swings from a 3.75-m-long cable that is horizontal when he starts. At the bottom of his arc, he picks up his 55.0-kg costar in an inelastic collision. What maximum height do they reach after their upward swing?

> A cue ball traveling at 4.00 m/s makes a glancing, elastic collision with a target ball of equal mass that is initially at rest. The target ball deflects the cue ball so that its subsequent motion makes an angle of 30.0° with respect to its original dire

> Consider the ballistic pendulum device discussed in Example 6.5 and illustrated in Figure 6.13. (a) Determine the ratio of the momentum immediately after the collision to the momentum immediately before the collision. (b) Show that the ratio of the kinet

> A railroad car of mass M moving at a speed v1 collides and couples with two coupled railroad cars, each of the same mass M and moving in the same direction at a speed v2. (a) What is the speed vf of the three coupled cars after the collision in terms of

> A railroad car of mass 2.00 x 104 kg moving at 3.00 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the c

> A 75.0-kg ice skater moving at 10.0 m/s crashes into a stationary skater of equal mass. After the collision, the two skaters move as a unit at 5.00 m/s. Suppose the average force a skater can experience without breaking a bone is 4500 N. If the impact ti

> Gayle runs at a speed of 4.00 m/s and dives on a sled, initially at rest on the top of a frictionless, snow- covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back, and they continue d

> An archer shoots an arrow toward a 3.00 x 102 - g target that is sliding in her direction at a speed of 2.50 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 35.0 m/s and passes through the target, which is stopped by the impac

> A man of mass m1 = 70.0 kg is skating at v1 = 8.00 m/s behind his wife of mass m2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collides with her. He grabs her around the waist, and they maintain their balance. (a)

> A pail of water is rotated in a vertical circle of radius 1.00 m. (a) What two external forces act on the water in the pail? (b) Which of the two forces is most important in causing the water to move in a circle? (c) What is the pail’s minimum speed at t

> An object moves in a circular path with constant speed v. Which of the following statements is true concerning the object? (a) Its velocity is constant, but its acceleration is changing. (b) Its acceleration is constant, but its velocity is changing. (c)

> A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates an unbanked curve in the road that can be regarded as an arc of a circle of radius 62.0 m. While on the curve, the speed of the car is 15.0 m/s at the inst

> A snowboarder drops from rest into a halfpipe of radius R and slides down its frictionless surface to the bottom (Fig. P7.28). Show that (a) The snowboarder’s speed at the bottom of the halfpipe is v = √2gR (b) The sno

> An air puck of mass m1 = 0.25 kg is tied to a string and allowed to revolve in a circle of radius R = 1.0 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m2 = 1.0 kg is tie

> A space habitat for a long space voyage consists of two cabins each connected by a cable to a central hub as shown in Figure P7.26. The cabins are set spinning around the hub axis, which is connected to the rest of the spacecraft to generate artificial g

> A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular speed of 3.00 rad/s. (a) What is the magnitude of the child’s centripetal acceleration? (b) What is the magnitude of the minimum force between her feet and t

> A sample of blood is placed in a centrifuge of radius 15.0 cm. The mass of a red blood cell is 3.0 x 10-16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 x 10-11 N. At how many revolutions per second should the cen

> A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 32.0 m/s. With what maximum speed can it go around a curve having a radius of 75.0 m?

> A 40.0-kg child swings in a swing supported by two chains, each 3.00 m long. The tension in each chain at the lowest point is 350 N. Find (a) The child’s speed at the lowest point and (b) The force exerted by the seat on the child at the lowest point. (I

> A 55.0-kg ice skater is moving at 4.00 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.800 m around the pole. (a) Determine the force exerted by the horizontal rope on her ar

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