College Physics
10th Edition
ISBN: 9781285761954
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 3.1, Problem 3.1QQ
The magnitudes of two vectors
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An m = 69.0-kg person running at an initial speed of v = 4.50 m/s jumps onto an M = 138-kg cart initially at rest (figure below). The person slides on the cart's top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is
0.440. Friction between the cart and ground can be ignored. (Let the positive direction be to the right.)
m
M
(a) Find the final velocity of the person and cart relative to the ground. (Indicate the direction with the sign of your answer.)
m/s
(b) Find the friction force acting on the person while he is sliding across the top surface of the cart. (Indicate the direction with the sign of your answer.)
N
(c) How long does the friction force act on the person?
S
(d) Find the change in momentum of the person. (Indicate the direction with the sign of your answer.)
N.S
Find the change in momentum of the cart. (Indicate the direction with the sign of your answer.)
N.S
(e) Determine the displacement of the…
Small ice cubes, each of mass 5.60 g, slide down a frictionless track in a steady stream, as shown in the figure below. Starting from rest, each cube moves down through a net vertical distance of h = 1.50 m and leaves the bottom end of the track at an angle of 40.0° above the horizontal.
At the highest point of its subsequent trajectory, the cube strikes a vertical wall and rebounds with half the speed it had upon impact. If 10 cubes strike the wall per second, what average force is exerted upon the wall?
N ---direction--- ▾
---direction---
to the top
to the bottom
to the left
to the right
1.50 m
40.0°
The magnitude of the net force exerted in the x direction on a 3.00-kg particle varies in time as shown in the figure below.
F(N)
4
3
A
2
t(s)
1
2 3
45
(a) Find the impulse of the force over the 5.00-s time interval.
==
N⚫s
(b) Find the final velocity the particle attains if it is originally at rest.
m/s
(c) Find its final velocity if its original velocity is -3.50 î m/s.
V₁
m/s
(d) Find the average force exerted on the particle for the time interval between 0 and 5.00 s.
=
avg
N
Chapter 3 Solutions
College Physics
Ch. 3.1 - The magnitudes of two vectors A and B are 12 units...Ch. 3.2 - Prob. 3.2QQCh. 3.2 - Prob. 3.3QQCh. 3.3 - Which of the following objects cant be...Ch. 3.3 - Consider the following controls in an automobile:...Ch. 3.4 - Suppose you are carrying a ball and running at...Ch. 3.4 - As a projectile moves in its parabolic path, where...Ch. 3 - A vector A has components Ax = 5.00 m and Ay =...Ch. 3 - Calculate (a) the x- and (b) y-components of the...Ch. 3 - Find (a) the x- and (b) y-components of R = 2A B...
Ch. 3 - A hiker walks from (x1, y1) = (4.00 km. 3.00 km)...Ch. 3 - A hiker walks 3.00 km north and then 4.00 km west,...Ch. 3 - A car is traveling east at 25.0 m/s when it turns...Ch. 3 - A skier leaves the end of a horizontal ski jump at...Ch. 3 - A catapult launches a large stone from ground...Ch. 3 - A cruise ship sails due north at 4.50 m/s while a...Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - As a projectile moves in its path, is there any...Ch. 3 - Construct motion diagrams showing the velocity and...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A ball is projected horizontally from the top of a...Ch. 3 - A spacecraft drifts through space at a constant...Ch. 3 - Determine which of the following moving objects...Ch. 3 - Two projectiles are thrown with the same initial...Ch. 3 - A ball is thrown upward in the air by a passenger...Ch. 3 - A projectile is launched at some angle to the...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A car moving around a circular track, with...Ch. 3 - As an apple tree is transported by a truck moving...Ch. 3 - Prob. 1PCh. 3 - Vector A has a magnitude of 8.00 units and makes...Ch. 3 - Vector A is 3.00 units in length and points along...Ch. 3 - Three displacements are A = 200 m due south, R =...Ch. 3 - A roller coaster moves 200 ft horizontally and...Ch. 3 - An airplane flies 200 km due west from city A to...Ch. 3 - A plane flies from base camp to lake A, a distance...Ch. 3 - A force F1, of magnitude 6.00 units acts on an...Ch. 3 - A man in a maze makes three consecutive...Ch. 3 - Prob. 10PCh. 3 - The magnitude of vector A is 35.0 units and points...Ch. 3 - A figure skater glides along a circular path of...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - A hiker starts at his camp and moves the following...Ch. 3 - A vector has an x-component of 25.0 units and a...Ch. 3 - A quarterback takes the ball from the line of...Ch. 3 - The eye of a hurricane passes over Grand Bahama...Ch. 3 - A map suggests that Atlanta is 730 miles in a...Ch. 3 - A commuter airplane starts from ar. airport and...Ch. 3 - The helicopter view in Figure P3.20 shows two...Ch. 3 - A novice golfer on the green takes three strokes...Ch. 3 - One of the fastest recorded pitches in major...Ch. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - A rock is thrown upward from the level ground in...Ch. 3 - The best leaper in the animal kingdom is the puma,...Ch. 3 - The record distance in the sport of throwing...Ch. 3 - A placekicker must kick a football from a point...Ch. 3 - From the window of a building, a ball is tossed...Ch. 3 - A brick is thrown upward from the top of a...Ch. 3 - An artillery shell is fired with an initial...Ch. 3 - A car is parked on a cliff overlooking the ocean...Ch. 3 - A fireman d = 50.0 m away from a burning building...Ch. 3 - A projectile is launched with an initial speed of...Ch. 3 - A playground is on the flat roof of a city school,...Ch. 3 - A jet airliner moving initially at 3.00 102 mi/h...Ch. 3 - A car travels due east with a speed of 50.0 km/h....Ch. 3 - A bolt drops from the ceiling of a moving train...Ch. 3 - A Coast Guard cutter detects an unidentified ship...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - Suppose a chinook salmon needs to jump a waterfall...Ch. 3 - A river has a steady speed of 0.500 m/s. A student...Ch. 3 - This is a symbolic version of Problem 29. A river...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - A moving walkway at an airport has a speed v1 and...Ch. 3 - How long does it take ail automobile traveling in...Ch. 3 - You can use any coordinate system you like to...Ch. 3 - A Nordic jumper goes off a ski jump at an angle of...Ch. 3 - In a local diner, a customer slides an empty...Ch. 3 - Towns A and B in Figure P3.35 are 80.0 km apart. A...Ch. 3 - A chinook salmon has a maximum underwater speed of...Ch. 3 - A rocket is launched at an angle of 53.0 above the...Ch. 3 - Two canoeists in identical canoes exert the same...Ch. 3 - (a) If a person can jump a maximum horizontal...Ch. 3 - A farm truck travels due east with a constant...Ch. 3 - A home run is hit in such a way that the baseball...Ch. 3 - A ball is thrown straight upward and returns to...Ch. 3 - A quarterback throws a football toward a receiver...Ch. 3 - A 2.00-m-tall basketball player is standing on the...Ch. 3 - In a very popular lecture demonstration, a...Ch. 3 - Figure P3.60 illustrates the difference in...Ch. 3 - By throwing a ball at an angle of 45, a girl can...Ch. 3 - The equation of a parabola is y = ax2 + bx + c,...Ch. 3 - A hunter wishes to cross a river that is 1.5 km...Ch. 3 - When baseball outfielders throw the ball, they...Ch. 3 - A daredevil is shot out of a cannon at 45.0 to the...Ch. 3 - Chinook salmon are able to move upstream faster by...Ch. 3 - A student derides to measure the muzzle velocity...Ch. 3 - A golf ball with an initial speed of 50.0 m/s...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - One strategy in a snowball fight is to throw a...Ch. 3 - A dart gun is fired while being held horizontally...Ch. 3 - The determined Wile E. Coyote is out once more to...Ch. 3 - A truck loaded with cannonball watermelons stops...
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