Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 9, Problem 60P
(III) For an elastic collision between a projectile particle of mass mA and a target particle (at rest) of mass mB, show that the scattering angle.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(c) A volleyball player drops the ball of mass 425 g with the velocity of 32 m/s from a height of
10 m from the ground floor. After colliding with the floor it moves with the velocity of 36 m/s,
making angle of 30 degree with the horizontal floor. Calculate the magnitude and direction of
impulse act during the collision.
Particles are moving speeds of v₁ = 5.2 m/s.
After the collision
a+
and V₂=0
and
m₂ = 2m₁.
is observed to be moving
mass mi
f 90° relative to its direction Prior to
e collision is elastic.
an angle
the Collis
Eine a Suitable coordinate system and determ
may
final velocities (including direction) of each Partille,
be useful to remember that cos(20)=
Cos²-si-
9150
(3) This problem deals with a method for measuring the muzzle velocity of a rifle. A rifle with unknown
muzzle velocity vo fires a bullet with mass m into a large block of wood with mass M that is sitting on a
horizontal surface. The velocity of the block right after the (inelastic) collision is v. The block then slides
a distance d along the surface and comes to a stop. The coefficient of kinetic friction between the block of
wood and the surface is μk.
(a) Use conservation of momentum (during the collision) and the work-energy theorem (after the collision)
to show that the muzzle velocity of the rifle is given by:
20
=
(m + M) √2 µx8d
m
(b) Calculate the muzzle velocity of the rifle if m= 5.00 g. M = 1.20 kg. d = 14.6 cm, and µ = 0.56.
[answer: vo = 305 m/s]
Chapter 9 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 9.1 - Light carries momentum, so if a light beam strikes...Ch. 9.1 - Prob. 1BECh. 9.2 - A 50-kg child runs off a dock at 2.0 m/s...Ch. 9.2 - In Example 93, what result would you get if (a)...Ch. 9.2 - Return to the Chapter-Opening Questions, page 214,...Ch. 9.8 - Calculate the CM of the three people in Example...Ch. 9.8 - Prob. 1GECh. 9.9 - A woman stands up in a rowboat and walks from one...Ch. 9 - We claim that momentum is conserved. Yet most...Ch. 9 - Two blocks of mass m1, and m2 rest on a...
Ch. 9 - A light object and a heavy object have the same...Ch. 9 - When a person jumps from a tree to the ground,...Ch. 9 - Explain, on the basis of conservation of momentum,...Ch. 9 - Two children float motionlessly in a space...Ch. 9 - A truck going 15 km/h has a head-on collision with...Ch. 9 - If a falling ball were to make a perfectly elastic...Ch. 9 - Prob. 9QCh. 9 - It is said that in ancient times a rich man with a...Ch. 9 - The speed of a tennis ball on the return of a...Ch. 9 - Is it possible for an object to receive a larger...Ch. 9 - How could a force give zero impulse over a nonzero...Ch. 9 - In a collision between two cars, which would you...Ch. 9 - A superball is dropped from a height h onto a hard...Ch. 9 - Prob. 16QCh. 9 - At a hydroelectric power plant, water is directed...Ch. 9 - A squash hall hits a wall at a 45 angle as shown...Ch. 9 - Why can a batter hit a pitched baseball farther...Ch. 9 - Describe a collision in which all kinetic energy...Ch. 9 - Inelastic and elastic collisions are similar in...Ch. 9 - If a 20-passenger plane is not full, sometimes...Ch. 9 - Prob. 23QCh. 9 - Why is the CM of a 1-m length of pipe at its...Ch. 9 - Show on a diagram how your CM shifts when you move...Ch. 9 - Describe an analytic way of determining the CM of...Ch. 9 - Place yourself facing the edge of an open door....Ch. 9 - If only an external force can change the momentum...Ch. 9 - A rocket following a parabolic path through the...Ch. 9 - How can a rocket change direction when it is far...Ch. 9 - In observations of nuclear -decay, the electron...Ch. 9 - Bob and Jim decide to play tug-of-war on a...Ch. 9 - At a carnival game you try to knock over a heavy...Ch. 9 - (I) Calculate the force exerted on a rocket when...Ch. 9 - (I) A constant friction force of 25 N acts on a...Ch. 9 - (II) The momentum of a particle, in SI units, is...Ch. 9 - (II) The force on a panicle of mass m is given by...Ch. 9 - (II) A 145-g baseball, moving along the x axis...Ch. 9 - (II) A 0.145-kg baseball pitched horizontally at...Ch. 9 - (II) A rocket of total mass 3180 kg is traveling...Ch. 9 - (III) Air in a 120-km/h wind strikes head-on the...Ch. 9 - (I) A 7700-kg boxcar traveling 18 m/s strikes a...Ch. 9 - (I) A 9150-kg railroad car travels alone on a...Ch. 9 - (I) An atomic nucleus at rest decays radioactively...Ch. 9 - (I) A 130-kg tackler moving at 2.5 m/s meets...Ch. 9 - (II) A child in a boat throws a 5.70-kg package...Ch. 9 - (II) An atomic nucleus initially moving at 420 m/s...Ch. 9 - (II) An object at rest is suddenly broken apart...Ch. 9 - (II) A 22-g bullet traveling 210 m/s penetrates a...Ch. 9 - (II) A rocket of mass m traveling with speed v0...Ch. 9 - (II) The decay of a neutron into a proton, an...Ch. 9 - A mass mA = 2.0 kg, moving with velocity...Ch. 9 - (II) A 925-kg two-stage rocket is traveling at a...Ch. 9 - (III) A 224-kg projectile, fired with a speed of...Ch. 9 - (I) A 0.145-kg baseball pitched at 35.0 m/s is hit...Ch. 9 - (II) A golf ball of mass 0.045 kg is hit off the...Ch. 9 - (II) A 12-kg hammer strikes a nail at a velocity...Ch. 9 - (II) A tennis ball of mass m = 0.060 kg and speed...Ch. 9 - (II) A 130-kg astronaut (including space suit)...Ch. 9 - (II) Rain is falling at the rate of 5.0 cm/h and...Ch. 9 - (II) Suppose the force acting on a tennis hall...Ch. 9 - (II) With what impulse does a 0.50-kg newspaper...Ch. 9 - (II) The force on a bullet is given by the formula...Ch. 9 - (II) (a) A molecule of mass m and speed v strikes...Ch. 9 - (III) (a) Calclale the impulse experienced when a...Ch. 9 - (III) A scale is adjusted so that when a large,...Ch. 9 - (II) A 0.060-kg tennis ball, moving with a speed...Ch. 9 - (II) A 0.450-kg hockey puck, moving east with a...Ch. 9 - (II) A 0.280-kg croquet ball makes an elastic...Ch. 9 - (II) A hall of mass 0.220 kg that is moving with a...Ch. 9 - (II) A ball of mass m makes a head-on elastic...Ch. 9 - (II) Determine the fraction of kinetic energy lost...Ch. 9 - (II) Show that, in general, for any head-on...Ch. 9 - (III) A 3.0 kg block slides along a frictionless...Ch. 9 - (I) In a ballistic pendulum experiment, projectile...Ch. 9 - (II) (a) Derive a formula for the fraction of...Ch. 9 - (II) A 28-g rifle bullet traveling 210 m/s buries...Ch. 9 - (II) An internal explosion breaks an object,...Ch. 9 - (II) A 920-kg spoils car collides into the rear...Ch. 9 - (II) You drop a 12-g ball from a height of 1.5 m...Ch. 9 - (II) Car A hits car B (initially at rest and of...Ch. 9 - (II) A measure of inelasticity in a head-on...Ch. 9 - (II) A pendulum consists of a mass M hanging at...Ch. 9 - (II) A build of mass m = 0.0010 kg embeds itself...Ch. 9 - (II) A 144-g baseball moving 28.0 m/s strikes a...Ch. 9 - (II) A 6.0-kg object moving in the +x direction at...Ch. 9 - (II) Billiard ball A of mass mA = 0.120 kg moving...Ch. 9 - (II) A radioactive nucleus at rest decays into a...Ch. 9 - (II) Two billiard balls of equal mass move at...Ch. 9 - (II) An atomic nucleus of mass m traveling with...Ch. 9 - (II) A neutron collides elastically with a helium...Ch. 9 - (III) A neon atom (m = 20.0 u) makes a perfectly...Ch. 9 - (III) For an elastic collision between a...Ch. 9 - (III) Prove that in the elastic collision of two...Ch. 9 - (I) The CM of an empty 1250-kg car is 2.50 m...Ch. 9 - (I) The distance between a carbon atom (m = 12 u)...Ch. 9 - (II) Three cubes, of side l0,2l0, and 3l0 are...Ch. 9 - (II) A square uniform raft, 18 m by 18 m, of mass...Ch. 9 - (II) A uniform circular plate of radius 2R has a...Ch. 9 - (II) A uniform thin wire is bent into a semicircle...Ch. 9 - (II) Find the center of mass of the ammonia...Ch. 9 - (III) Determine the CM of a machine part that is a...Ch. 9 - (III) Determine the CM of a uniform pyramid that...Ch. 9 - (III) Determine the CM of a thin, uniform,...Ch. 9 - (II) Mass MA = 35 kg and mass MB = 25 kg. They...Ch. 9 - (II) The masses of the Earth and Moon are 5.98 ...Ch. 9 - (II) A mallet consists of a uniform cylindrical...Ch. 9 - (II) A 55-kg woman and a 72-kg man stand 10.0 m...Ch. 9 - (II) Suppose that in Example 918 (Fig. 932), mII =...Ch. 9 - (II) Two people, one of mass 85 kg and the other...Ch. 9 - (III) A 280-kg flatcar 25 m long is moving with a...Ch. 9 - (III) A huge balloon and its gondola, of mass M,...Ch. 9 - (II) A 3500-kg rocket is to be accelerated at 3.0...Ch. 9 - (II) Suppose the conveyor bell of Example 919 is...Ch. 9 - (II) The jet engine of an airplane takes in 120 kg...Ch. 9 - (II) A rocket traveling 1850 m/s away from the...Ch. 9 - (III) A sled filled with sand slides without...Ch. 9 - A novice pool player is faced with the corner...Ch. 9 - During a Chicago storm, winds can whip...Ch. 9 - A ball is dropped from a height of 1.50 m and...Ch. 9 - In order to convert a tough split in bowling, it...Ch. 9 - A gun fires a bullet vertically into a 1.40-kg...Ch. 9 - A hockey puck of mass 4 m has been rigged 10...Ch. 9 - For the completely inelastic collision of two...Ch. 9 - A 4800-kg open railroad car coasts along with a...Ch. 9 - Consider the railroad car of Problem 92, which is...Ch. 9 - Two blocks of mass mA and mB, resting on a...Ch. 9 - You have been hired as an expert witness in a...Ch. 9 - A meteor whose mass was about 2.0 108 kg struck...Ch. 9 - Two astronauts, one of mass 65 kg and the other 85...Ch. 9 - A 22-g bullet strikes and becomes embedded in a...Ch. 9 - Two balls, of masses mA = 45 g and mB = 65 g, are...Ch. 9 - A block of mass m = 2.20 kg slides down a 30.0...Ch. 9 - In Problem 100 (Fig. 953), what is the upper limit...Ch. 9 - After a completely inelastic collision between two...Ch. 9 - A 0.25-kg skeet (clay target) is fired at an angle...Ch. 9 - A massless spring with spring constant k is placed...Ch. 9 - The gravitational slingshot effect. Figure 955...Ch. 9 - Two bumper cars in an amusement park ride collide...Ch. 9 - In a physics lab, a cube slides down a...Ch. 9 - The space shuttle launches an 850-kg satellite by...Ch. 9 - You are the design engineer in charge of the...Ch. 9 - Astronomers estimate that a 2.0-km-wide asteroid...Ch. 9 - An astronaut of mass 210 kg including his suit and...Ch. 9 - An extrasolar planet can be detected by observing...Ch. 9 - Suppose two asteroids strike head on. Asteroid A...Ch. 9 - (III) A particle of mass mA traveling with speed...
Additional Science Textbook Solutions
Find more solutions based on key concepts
90. How many times greater is the kinetic energy of the person when biking than when walking? Ignore the mass o...
College Physics (10th Edition)
The reason Venus is so much hotter than Earth is that (a) it has many more volcanoes; (b) its closer distance t...
Life in the Universe (4th Edition)
21.85 CALC Negative charge ?Q is distributed uniformly around a quarter-circle of radius a that lies in the fir...
University Physics (14th Edition)
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desi...
The Cosmic Perspective Fundamentals (2nd Edition)
The capacitance of the capacitor.
Physics (5th Edition)
The force, when you push against a wall with your fingers, they bend.
Conceptual Physics (12th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A rocket takes off from Earth and reaches a speed of 100 m/s in 10.0 s. If the exhaust speed is 1500 m/s and the mass of fuel burned is 100 kg, what was the initial mass of the rocket?arrow_forwardCheck Your Understanding Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)? Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)?arrow_forward(c) If three point masses m, m2, and m3 have position vectors r,, r2, and r3 respectively, relative to some origin, then the position vector of their centre of mass relative to the origin is given by m;r, + m2r2 + m3r3 (m, + m2 + m3) rCOM = If the vectors a and b above represent the position vectors of a 3 kg point mass and a 2 kg point mass respectively (where the units of distance are considered to be subsumed within i, j, and k), calculate where a third point mass of 2 kg would need to be positioned to make the centre of mass of the system lie at the position rCOM = i+j+ k.arrow_forward
- HW 16 Engin 52 In a game of pool, ball A is moving with a velocity vo of magnitude vo = 15 ft/s when it strikes balls B and C, which areat rest and aligned as shown. Knowing that after the collision the three balls move in the directions indicated and assuming frictionless surfaces and perfectly elastic impact (that is, conservation of energy), determine the magnitudes of the velocities vA, VB and vc. NC 60° 45° 60°arrow_forward2) In Figure, mass m¡ collision with m,=4 kg that is initially at rest. (a) Find the velocity of m, after the collision. (b) Find the velocity of m, after the collision. (c) Find the maximum height h to which m, rises after the collision. 2 kg with a velocity v=10 m/s moving in x direction makes elastic h V=10 m/s V;=0 m2arrow_forwardA particle of mass m moving with velocity v, collides with a mass M moving in the opposite di- rection. After collision, the mass m has velocity vo/2 and moves at right angles to the initial direc- ems 335 tion, while mass M moves in a direction making an angle of 30° with the initial path of m. Find the ratio mlM.arrow_forward
- A ball of mass 2 kg moving with a velocity of 8 ms collides head-on with another ball of mass of 4 kg moving with a velocity of 2 ms moving in the same direction. The collision is elastic and the coefficient restitution is e = 0.5. (a) Find the velocities of the balls after the collision. (b) Calculate the loss of kinetic energy due to collision.arrow_forwardA 1.0 kg mass with a speed of 4.5 m/s strikes a 2.0 kg mass at rest. For a completely inelastic collision, find: (a) The speed of the masses after the collision. (b) The change in kinetic energy. (c) The momentum after the collision.arrow_forwardHelp me pleasearrow_forward
- A proton, moving with a velocity of viî, collides elastically with another proton that is initially at rest. Assuming that after the collision the speed of the initially moving proton is 2.10 times the speed of the proton initially at rest, find the following. (a) the speed of each proton after the collision in terms of vi initially moving proton ✕vi initially at rest proton ✕vi (b) the direction of the velocity vectors after the collision (assume that the initially moving proton scatters toward the positive y direction) initially moving proton ° relative to the +x direction initially at rest proton ° relative to the +x directionarrow_forwardA mass mA = 50 kg moving with a velocity vA = (5.0i + 2.0j – 4.0k) m/s, collides with mass mB = 5.0 kg which is initially at rest. Immediately after the collision, mass mA is observed traveling at velocity (-3.0i - 2.0k) m/s. Calculate the magnitudes of vA and vA’. the velocity of B after impact (vB’}.arrow_forwardThe following figure shows two particles of masses m1 and m2, with velocities before the collision of magnitude v1 and v2. If the collision is perfectly elastic, find the magnitude of the velocities v1' and v2' after the collision and the angle of incidence θ (theta), as a function of the masses and velocities before the collision.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Elastic and Inelastic Collisions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=M2xnGcaaAi4;License: Standard YouTube License, CC-BY