University Physics Volume 1
1st Edition
ISBN: 9781630182137
Author: Samuel J Ling Jeff, Sanny, William Moebs
Publisher: OpenStax
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Textbook Question
Chapter 4, Problem 4.2CYU
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Students have asked these similar questions
Consider the series
M8
3
ཱ|༤༠
n=0
5n
a. Find the general formula for the sum of the first k terms. Your answer should be in terms of k.
Sk=3
1
5
5
k
b. The sum of a series is defined as the limit of the sequence of partial sums, which means
k
3
5n
1-
= lim
3
k→∞
n=0
4
15
4
c. Select all true statements (there may be more than one correct answer):
A. The series is a geometric series.
B. The series converges.
C. The series is a telescoping series (i.e., it is like a collapsible telescope).
D. The series is a p-series.
A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of static friction between the ladder and the floor is the same as that between the ladder and the wall. If this
coefficient of static friction is μs : 0.535, determine the smallest angle the ladder can make with the floor without slipping.
°
=
A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal.
(a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom.
horizontal force
magnitude
342.
N
direction
towards the wall
✓
vertical force
1330
N
up
magnitude
direction
(b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground?
0.26
×
You appear to be using 4.10 m from part (a) for the position of the…
Your neighbor designs automobiles for a living. You are fascinated with her work. She is designing a new automobile and needs to determine how strong the front suspension should be. She knows of
your fascination with her work and your expertise in physics, so she asks you to determine how large the normal force on the front wheels of her design automobile could become under a hard stop,
ma
when the wheels are locked and the automobile is skidding on the road. She gives you the following information. The mass of the automobile is m₂ = 1.10 × 103 kg and it can carry five passengers of
average mass m = 80.0 kg. The front and rear wheels are separated by d = 4.45 m. The center of mass of the car carrying five passengers is dCM = 2.25 m behind the front wheels and
hcm = 0.630 m above the roadway. A typical coefficient of kinetic friction between tires and roadway is μk 0.840. (Caution: The braking automobile is not in an inertial reference frame. Enter the
magnitude of the force in N.)…
Chapter 4 Solutions
University Physics Volume 1
Ch. 4 - Prob. 4.1CYUCh. 4 - Prob. 4.2CYUCh. 4 - Check Your Understanding A rock is thrown...Ch. 4 - Check Your Understanding If the two golf shots in...Ch. 4 - Check Your Understanding A flywheel has a radius...Ch. 4 - Check Your Understanding A boat heads north in...Ch. 4 - What form does the trajectory of a particle have...Ch. 4 - Give an example of a trajectory in two or three...Ch. 4 - If the instantaneous velocity is zero, what can be...Ch. 4 - If the position function of a particle is a linear...
Ch. 4 - If an object has a constant x -component of the...Ch. 4 - If an object has a constant x -component of...Ch. 4 - Answer the following questions for projectile...Ch. 4 - Answer the following questions for projectile...Ch. 4 - A dime is placed at the edge of a table so it...Ch. 4 - Uniform Circular Motion Can centripetal...Ch. 4 - Can tangential acceleration change the speed of a...Ch. 4 - Dimensions What frame or frames of reference do...Ch. 4 - A basketball player dribbling down the court...Ch. 4 - If someone is riding in the back of a pickup thick...Ch. 4 - The hat of a jogger running at constant velocity...Ch. 4 - A clod of dirt falls from the bed of a moving...Ch. 4 - The coordinates of a particle in a rectangular...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - A bird files straight northeast a distance of 95.0...Ch. 4 - A cyclist rides 5.0 km due east, then 10.0 km 20...Ch. 4 - New York Rangers defenseman Daniel Girardi stands...Ch. 4 - Prob. 23PCh. 4 - Clay Matthews, a linebacker for the Green Bay...Ch. 4 - The F-35B Lighting II is a short-takeoff and...Ch. 4 - Prob. 26PCh. 4 - A particles acceleration is (4.0i+3.0j)m/s2. At...Ch. 4 - Prob. 28PCh. 4 - The position of a particle for t0 is given by...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A Lockheed Martin F-35 II lighting jet takes off...Ch. 4 - Projectile Motion A bullet is shot horizontally...Ch. 4 - A marble rolls off a tabletop 1.0 m high and hits...Ch. 4 - A dart is thrown horizontally at a speed of 10 m/s...Ch. 4 - An airplane flying horizontally with a speed of...Ch. 4 - Suppose the airplane in the preceding problem...Ch. 4 - A fastball pitcher can throw a baseball at a speed...Ch. 4 - A projectile is launched at an angle of 30 and...Ch. 4 - A basketball player shoots toward a basket 6.1 m...Ch. 4 - At a particular instant, a hot air balloon is 100...Ch. 4 - A man on a motorcycle traveling at a uniform speed...Ch. 4 - An athlete can jump a distance of 8.0 m in the...Ch. 4 - The maximum horizontal distance a boy can throw a...Ch. 4 - A rock is thrown off a cliff at an angle of 53...Ch. 4 - Trying to escape his pursuers, a secret agent skis...Ch. 4 - A golfer on a fairway is 70 m away from the green,...Ch. 4 - A projectile is shot at a hill, the base of which...Ch. 4 - An astronaut on Mars kicks a soccer ball at an...Ch. 4 - Mike Powell holds the record for the long jump of...Ch. 4 - MIT’s robot cheetah can jump over obstacles 46 cm...Ch. 4 - Mt. Asama, Japan, is an active volcano. In 2009,...Ch. 4 - Drew Brees of the New Orleans Saints can throw a...Ch. 4 - The Lunar Roving Vehicle used In NASA’s late...Ch. 4 - A soccer goal is 2.44 m high. A player kicks the...Ch. 4 - Olympus Mons on Mars is the largest volcano in the...Ch. 4 - In 1999, Robbie Knievel was the first to jump the...Ch. 4 - You throw a baseball at an initial speed of 15.0...Ch. 4 - Aaron Rodgers throws a football at 20.0 m/s to his...Ch. 4 - A flywheel is rotating at 30 rev/s. What is the...Ch. 4 - A particle travels in a circle of radius 10 m at a...Ch. 4 - Cam Newton of the Carolina Panthers throws a...Ch. 4 - A fairground ride spins its occupants inside a...Ch. 4 - A runner taking part in the 200-m dash must run...Ch. 4 - What is the acceleration of Venus toward the Sun,...Ch. 4 - An experimental jet rocket travels around Earth...Ch. 4 - A fan is rotating at a constant 360.0 rev/min....Ch. 4 - A point located on the second hand of a large...Ch. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Raindrops fall vertically at 43 m/s relative to...Ch. 4 - A seagull can fly at a velocity of 9.00 m/s in...Ch. 4 - A ship sets sail from Rotterdam, heading due north...Ch. 4 - A boat can be rowed at 8.0 km/h in still water....Ch. 4 - A small plane flies at 200 km/h in still air. If...Ch. 4 - A cyclist traveling southeast along a road at 15...Ch. 4 - A river is moving east at 4 m/s. A boat starts...Ch. 4 - A Formula One race car is traveling at 89.0 m/s...Ch. 4 - A particle travels m a circular orbit of radius 10...Ch. 4 - The driver of a car moving at 90.0km/h presses...Ch. 4 - A race car entering the curved part of the track...Ch. 4 - An elephant is located on Earth’s surface at a...Ch. 4 - A proton in a synchrotron is moving in a circle of...Ch. 4 - A propeller blade at rest starts to rotate from...Ch. 4 - A particle is executing circular motion with a...Ch. 4 - A particle’s centripetal acceleration is...Ch. 4 - A rod 3.0 m in length is rotating at 2.0 rev/s...Ch. 4 - Prob. 89APCh. 4 - Prob. 90APCh. 4 - Prob. 91APCh. 4 - A crossbow is aimed horizontally at a target 40 m...Ch. 4 - A long jumper can jump a distance of 8.0 m when he...Ch. 4 - On planet Arcon, the maximum horizontal range of a...Ch. 4 - A mountain biker encounters a jump on a race...Ch. 4 - Which has the greater centripetal acceleration, a...Ch. 4 - A geosynchronous satellite orbits Earth at a...Ch. 4 - Two speedboats are traveling at the same speed...Ch. 4 - World’s Longest Par 3. The tee of the world’s...Ch. 4 - When a field goal kicker kicks a football as hard...Ch. 4 - A truck is traveling east at 80 km/h. At an...
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