College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 6, Problem 19P
The front 1.20 m of a 1 400-kg car is designed as a “crumple zone” that collapses to absorb the shock of a collision. If a car traveling 25.0 m/s stops uniformly in 1.20 m, (a) how long does the collision last, (b) what is the magnitude of the average force on the car, and (c) what is the acceleration of the car? Express the acceleration as a multiple of the acceleration of gravity.
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 6 Solutions
College Physics
Ch. 6.1 - Two masses m1 and m2, with m1 m2, have equal...Ch. 6.2 - A boy standing at one end of a floating raft that...Ch. 6.3 - A car and a large truck traveling at the same...Ch. 6.3 - An object of mass m moves to the right with a...Ch. 6.3 - A skater is using very low-friction rollerblades....Ch. 6.3 - In a perfectly inelastic one-dimensional collision...Ch. 6 - Math Review Solve the two equations mi + MVi = mf...Ch. 6 - Math Review Given the equations 507 = 147 Vf cos ...Ch. 6 - Math Review (a) Solve the equation 7.20 103 m/s =...Ch. 6 - A soccer player runs up behind a 0.450-kg soccer...
Ch. 6 - A 57.0-g tennis ball is traveling straight at a...Ch. 6 - An astronaut, of total mass 85.0 kg including her...Ch. 6 - Prob. 7WUECh. 6 - A car of mass 750 kg traveling at a velocity of 27...Ch. 6 - A car of mass 1 560 kg traveling east and a truck...Ch. 6 - Prob. 10WUECh. 6 - Prob. 11WUECh. 6 - A batter bunts a pitched baseball, blocking the...Ch. 6 - If two objects collide and one is initially at...Ch. 6 - Prob. 3CQCh. 6 - Americans will never forget the terrorist attack...Ch. 6 - A ball of clay of mass m is thrown with a speed v...Ch. 6 - A skater is standing still on a frictionless ice...Ch. 6 - A more ordinary example of conservation of...Ch. 6 - (a) If two automobiles collide, they usually do...Ch. 6 - Your physical education teacher throws you a...Ch. 6 - A large bedsheet is held vertically by two...Ch. 6 - A sharpshooter fires a rifle while standing with...Ch. 6 - An air bag inflates when a collision occurs,...Ch. 6 - Prob. 13CQCh. 6 - An open box slides across a frictionless, icy...Ch. 6 - Does a larger net force exerted on an object...Ch. 6 - Does a larger net force always produce a larger...Ch. 6 - If two particles have equal momenta, are their...Ch. 6 - Two particles of different mass start from rest....Ch. 6 - Calculate the magnitude of the linear momentum for...Ch. 6 - A high-speed photograph of a club hitting a golf...Ch. 6 - A pitcher claims he can throw a 0.145-kg baseball...Ch. 6 - A ball of mass m is thrown straight up into the...Ch. 6 - Drops of rain fall perpendicular to the roof of a...Ch. 6 - Show that the kinetic energy of a particle of mass...Ch. 6 - An object has a kinetic energy of 275 J and a...Ch. 6 - An estimated force vs. time curve for a baseball...Ch. 6 - A 0.280-kg volleyball approaches a player...Ch. 6 - A man claims he ran safely hold on to a 12.0-kg...Ch. 6 - A ball of mass 0.150 kg is dropped from rest from...Ch. 6 - A tennis player receives a shot with the ball...Ch. 6 - A car is stopped for a traffic signal. 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A girl...Ch. 6 - An astronaut in her space suit has a total mass of...Ch. 6 - A 75-kg fisherman in a 125-kg boat throws a...Ch. 6 - A 65.0-kg person throws a 0.045 0-kg snowball...Ch. 6 - Prob. 28PCh. 6 - a man of mass m1 = 70.0 kg is skating at v1 = 8.00...Ch. 6 - An archer shoots an arrow toward a 3.00 102-g...Ch. 6 - Gayle runs at a speed of 4.00 m/s and dives on a...Ch. 6 - A 75.0-kg ice skater moving at 10.0 m/s crashes...Ch. 6 - A railroad car of mass 2.00 104 kg moving at 3.00...Ch. 6 - This is a symbolic version of Problem 35. A...Ch. 6 - Consider the ballistic pendulum device discussed...Ch. 6 - A car of mass m moving at a speed v1 collides and...Ch. 6 - In a Broadway performance, an 80.0-kg actor swings...Ch. 6 - Two shuffleboard disks of equal mass, one orange...Ch. 6 - A 0.030-kg bullet is fired vertically at 200 m/s...Ch. 6 - An bullet of mass m = 8.00 g is fired into a block...Ch. 6 - A 12.0-g bullet is fired horizontally into a 100-g...Ch. 6 - A 1200-kg car traveling initially with a speed of...Ch. 6 - A boy of mass mb and his girlfriend of mass mg,...Ch. 6 - A space probe, initially at rest, undergoes an...Ch. 6 - A 25.0-g object moving to the right at 20.0 cm/s...Ch. 6 - A billiard ball rolling across a table at 1.50 m/s...Ch. 6 - A 90.0-kg fullback running cast with a speed of...Ch. 6 - Identical twins, each with mass 55.0 kg, are on...Ch. 6 - A 2.00 1O3-kg car moving cast at 10.0 m/s...Ch. 6 - Two automobiles of equal mass approach an...Ch. 6 - A billiard ball moving at 5.00 m/s strikes a...Ch. 6 - In research in cardiology and exercise physiology,...Ch. 6 - Most of us know intuitively that in a head-on...Ch. 6 - Consider a frictionless track as shown in Figure...Ch. 6 - A 2.0-g particle moving at 8.0 m/s makes a...Ch. 6 - A bullet of mass m and speed v passes completely...Ch. 6 - Two objects of masses m1 = 0.56 kg m2 = 0.88 kg...Ch. 6 - A 0.400-kg blue bead slides on a frictionless,...Ch. 6 - A 730-N man stands in the middle of a frozen pond...Ch. 6 - An unstable nucleus of muss 1.7 1026 kg,...Ch. 6 - Two blocks of masses m1 and m2 approach each other...Ch. 6 - Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg...Ch. 6 - A block with mass m1 = 0.500 kg is released from...Ch. 6 - Two objects of masses m and 3m are moving toward...Ch. 6 - A small block of mass m1 = 0.500 kg is released...Ch. 6 - A cue ball traveling at 4.00 m/s makes a glancing,...Ch. 6 - A cannon is rigidly attached to a carriage, which...Ch. 6 - Prob. 68APCh. 6 - A neutron in a reactor makes an elastic head-on...Ch. 6 - Two blocks collide on a frictionless surface....Ch. 6 - (a) A car traveling due east strikes a car...Ch. 6 - A 60-kg soccer player jumps vertically upwards and...Ch. 6 - A tennis ball of mass 57.0 g is held just above a...Ch. 6 - A 20.0-kg toboggan with 70.0-kg driver is sliding...Ch. 6 - Measuring the speed of a bullet. 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