University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 4.10DQ
Suppose you chose the fundamental physical quantities to be force, length, and time instead of mass, length, and time. What would be the units of mass in terms of those fundamental quantities?
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A 10.0 kg mass is acted on by the two forces:
and F1=(3.0N)i+(2.0N)j and F2=(10.0N)i+(7N.0)7
a) Express the summation of these two forces in unit vector notation. That is:
b) What is the acceleration of this mass while these forces are acting? Write your answer in unit vector notation.
c) What is the direction of the acceleration (give the angle of acceleration with the x axis)?
9. Consider the falling object of mass 10 kg in Example 2, but
assume now that the drag force is proportional to the square of the
velocity.
a. If the limiting velocity is 49 m/s (the same as in Example 2),
show that the equation of motion can be written as
1 (49² - 1²).
245
dy
dt
Also see Problem 21 of Section 1.1.
b. If y(0) = 0, find an expression for v(t) at any time.
Gc. Plot your solution from part b and the solution (26) from
Example 2 on the same axes.
d. Based on your plots in part c, compare the effect of a
quadratic drag force with that of a linear drag force.
e. Find the distance x(t) that the object falls in time t.
Nf. Find the time T it takes the object to fall 300 m.
Assume that all quantities are good to 3 significant figures...do not start rounding off too early or too much! All numeric answers should be entered rounded to 3 significant figures and assuming proper SI Units unless otherwise stated.
Consider just these 2 forces acting on a mass of 2.79 kg. F1 = 8.36 N @ 21.5 degrees and F2 = 6.80 N @ 76.7 degrees where the angles are measured relative to the +x direction. What is the magnitude of the acceleration produced considering only these 2 forces acting?
Chapter 4 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 4.1 - Figure 4.5 shows a force F acting on a crate. With...Ch. 4.2 - In which of the following situations is there zero...Ch. 4.3 - Rank the following situations in order of the...Ch. 4.4 - Prob. 4.4TYUCh. 4.5 - You are driving a car on a country road when a...Ch. 4 - Can a body be in equilibrium when only one force...Ch. 4 - A ball thrown straight up has zero velocity at its...Ch. 4 - A helium balloon hovers in midair, neither...Ch. 4 - When you fly in an airplane at night in smooth...Ch. 4 - If the two ends of a rope in equilibrium are...
Ch. 4 - You tie a brick lo the end of a rope and whirl the...Ch. 4 - When a car stops suddenly, the passengers tend to...Ch. 4 - Some people say that the force of inertia (or...Ch. 4 - A passenger in a moving bus with no windows...Ch. 4 - Suppose you chose the fundamental physical...Ch. 4 - Why is the earth only approximately an inertial...Ch. 4 - Does Newtons second law hold true for an observer...Ch. 4 - Some students refer to the quantity ma as the...Ch. 4 - The acceleration of a falling body is measured in...Ch. 4 - You can play catch with a softball in a bus moving...Ch. 4 - Students sometimes say that the force of gravity...Ch. 4 - Why can it hurt your foot more to kick a big rock...Ch. 4 - Its not the fall that hurts you; its the sudden...Ch. 4 - A person can dive into water from a height of 10 m...Ch. 4 - Why are cars designed to crumple in front and back...Ch. 4 - When a string barely strong enough lifts a heavy...Ch. 4 - A large crate is suspended from the end of a...Ch. 4 - Which feels a greater pull due to the earths...Ch. 4 - Why is it incorrect to say that 1.0 kg equals 2.2...Ch. 4 - A horse is hitched to a wagon. Since the wagon...Ch. 4 - True or false? You exert a push P on an object and...Ch. 4 - A large truck and a small compact car have a...Ch. 4 - When a car comes to a stop on a level highway,...Ch. 4 - A small compact car is pushing a large van that...Ch. 4 - Consider a tug-of-war between two people who pull...Ch. 4 - Boxes A and B are in contact on a horizontal,...Ch. 4 - A manual for student pilots contains this passage:...Ch. 4 - If your hands are wet and no towel is handy, you...Ch. 4 - If you squat down (such as when you examine the...Ch. 4 - When a car is hit from behind, the occupants may...Ch. 4 - In a head-on auto collision, passengers who are...Ch. 4 - In a head-on collision between a compact 1000-kg...Ch. 4 - Suppose you are in a rocket with no windows,...Ch. 4 - Two dogs pull horizontally on ropes attached to a...Ch. 4 - To extricate an SUV stuck in the mud, workmen use...Ch. 4 - BIO Jaw Injury. Due to a jaw injury, a patient...Ch. 4 - A man is dragging a trunk up the loading ramp of a...Ch. 4 - Forces F1 and F2act at a point. The magnitude of...Ch. 4 - An electron (mass = 9.11 1031 kg) leaves one end...Ch. 4 - A 68.5-kg skater moving initially at 2.40 m/s on...Ch. 4 - You walk into an elevator, step onto a scale, and...Ch. 4 - A box rests on a frozen pond, which serves as a...Ch. 4 - A dockworker applies a constant horizontal force...Ch. 4 - A hockey puck with mass 0.160 kg is at rest at the...Ch. 4 - A crate with mass 32.5 kg initially at rest on a...Ch. 4 - A 4.50-kg experimental cart undergoes an...Ch. 4 - A 2.75-kg cat moves in a straight line (the...Ch. 4 - A small 8.00-kg rocket burns fuel that exerts a...Ch. 4 - An astronauts pack weighs 17.5 N when she is on...Ch. 4 - Superman throws a 2400-N boulder at an adversary....Ch. 4 - BIO (a) An ordinary flea has a mass of 210 g. How...Ch. 4 - At the surface of Jupiters moon Io, the...Ch. 4 - A small car of mass 380 kg is pushing a large...Ch. 4 - BIO World-class sprinters can accelerate out of...Ch. 4 - The upward normal force exerted by the floor is...Ch. 4 - Boxes A and B are in contact on a horizontal,...Ch. 4 - A student of mass 45 kg jumps off a high diving...Ch. 4 - Section 4.6 Free-Body Diagrams 4.25Crates A and B...Ch. 4 - You pull horizontally on block B in Fig. F4.26,...Ch. 4 - A ball is hanging from a long siring that is tied...Ch. 4 - CP A .22-caliber rifle bullet traveling at 350 m/s...Ch. 4 - A chair of mass 12.0 kg is sitting on the...Ch. 4 - A large box containing your new computer sits on...Ch. 4 - CP A 5.60-kg bucket of water is accelerated upward...Ch. 4 - CP You have just landed on Planet X. You release a...Ch. 4 - Two adults and a child want to push a wheeled cart...Ch. 4 - CP An oil tankers engines have broken down, and...Ch. 4 - CP BIO A Standing Vertical Jump. Basketball player...Ch. 4 - CP An advertisement claims that a particular...Ch. 4 - BIO Human Biomechanics. The fastest pitched...Ch. 4 - BIO Human Biomechanics. The fastest served tennis...Ch. 4 - Two crates, one with mass 4.00 kg and the other...Ch. 4 - CP Two blocks connected by a light horizontal rope...Ch. 4 - CALC To study damage to aircraft that collide with...Ch. 4 - CP A 6.50-kg instrument is hanging by a vertical...Ch. 4 - BIO Insect Dynamics. The froghopper (Philaenus...Ch. 4 - A loaded elevator with very worn cables has a...Ch. 4 - CP After an annual checkup, you leave your...Ch. 4 - CP A nail in a pine board stops a 4.9-N hammer...Ch. 4 - CP Jumping to the Ground. A 75.0-kg man steps off...Ch. 4 - The two blocks in Fig. P4.48 are connected by a...Ch. 4 - CP Boxes A and B are connected to each end of a...Ch. 4 - CP Extraterrestrial Physics. You have landed on an...Ch. 4 - CP CALC A mysterious rocket-propelled object of...Ch. 4 - CALC The position of a training helicopter (weight...Ch. 4 - DATA The table gives automobile performance data...Ch. 4 - DATA An 8.00-kg box sits on a level floor. You...Ch. 4 - DATA You are a Starfleet captain going boldly...Ch. 4 - Prob. 4.56CPCh. 4 - BIO FORCES ON A DANCER'S BODY. Dancers experience...Ch. 4 - BIO FORCES ON A DANCERS BODY. Dancers experience...Ch. 4 - BIO FORCES ON A DANCER'S BODY. Dancers experience...Ch. 4 - The forces on a dancer can be measured directly...
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