University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 2, Problem 8CQ
Does the odometer in an automobile indicate a scalar or a vector quantity?
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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.
=
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Chapter 2 Solutions
University Physics Volume 1
Ch. 2 - Check Your Understanding Two motorboats named...Ch. 2 - Check Your Understanding A cave diver enters a...Ch. 2 - Check Your understanding Using the three...Ch. 2 - Check your Understanding A blue fly lands on a...Ch. 2 - Check Your Understanding If the displacement...Ch. 2 - Check Your Understanding If Trooper runs 20 m west...Ch. 2 - Check Your Understanding If the average velocity...Ch. 2 - Check Your understanding Three displacement...Ch. 2 - Check Your Understanding Suppose that Balto in...Ch. 2 - Check Your Understanding Verify that vector v V...
Ch. 2 - Check Your Understanding For the vectors given in...Ch. 2 - Check Your Understanding For vector in a...Ch. 2 - Check Your Understanding Find the angle between...Ch. 2 - Check Your Understanding How much work is done by...Ch. 2 - Check Your Understanding For the vectors given in...Ch. 2 - Check Your Understanding Given two vectors and ,...Ch. 2 - Scalars and Vectors A weather forecast states the...Ch. 2 - Which of the following is a vector a person’s...Ch. 2 - Give a specific example of a vector, stating its...Ch. 2 - What do vectors and scalars have in common? How do...Ch. 2 - Suppose you add two vectors A and B . What...Ch. 2 - Is it possible to add a scalar quantity to a...Ch. 2 - Is it possible for two vectors of different...Ch. 2 - Does the odometer in an automobile indicate a...Ch. 2 - When a 10,000-rn runner competing on a 400-rn...Ch. 2 - A vector has zero magnitude. Is it necessary to...Ch. 2 - Can a magnitude of a vector be negative?Ch. 2 - Can the magnitude of a particle’s displacement be...Ch. 2 - If two vectors are equal, what can you say about...Ch. 2 - If three vectors sum up to zero, si1at geometric...Ch. 2 - Give an example of a nonzero vector that has a...Ch. 2 - Explain why a vector cannot have a component...Ch. 2 - If two vectors are equal, what can you say about...Ch. 2 - If vectors A and B are orthogonal, what is the...Ch. 2 - If one of the two components of a vector is not...Ch. 2 - If two vectors have the same magnitude, do their...Ch. 2 - What is wrong with the following expressions? How...Ch. 2 - If the cross product of two vectors vanishes, what...Ch. 2 - If the dot product of two vectors vanishes, what...Ch. 2 - What is the dot product of a vector with the cross...Ch. 2 - A scuba diver makes a slow descent into the depths...Ch. 2 - In a tug-of-war game on one campus, 15 students...Ch. 2 - Suppose you walk 18.0 m straight west and then...Ch. 2 - For the vectors given in the following figure, use...Ch. 2 - A delivery man starts at the post office, chives...Ch. 2 - An adventurous dog strays from home, runs three...Ch. 2 - In an attempt to escape a desert island, a...Ch. 2 - A small plane flies 40.0 km in a direction 60...Ch. 2 - A trapper walks a 5.0-km straigt4ine distance from...Ch. 2 - A surveyor measures the distance across a river...Ch. 2 - A pedestrian walks 6.0 km east and then 13.0 km...Ch. 2 - The magnitudes of two displacement vectors are...Ch. 2 - Assuming the +x -axis is horizontal and points to...Ch. 2 - Suppose you walk 18.0 m straight west and then...Ch. 2 - You drive 7.50 km in a straight line in a...Ch. 2 - A sledge is being pulled by two horses on a flat...Ch. 2 - A trapper walks a 5.0-lan straight-line distance...Ch. 2 - The polar coordinates of a point are 4/3and 5.50...Ch. 2 - Two points in a plane have polar coordinates...Ch. 2 - A chameleon is resting quietly on a lanai screen,...Ch. 2 - Two points in the Cartesian plane are...Ch. 2 - A fly enters through an open window and zooms...Ch. 2 - For vectors and , calculate (a) and its magnitude...Ch. 2 - A particle undergoes three consecutive...Ch. 2 - Given two displacement vectors...Ch. 2 - A small plane flies 40.0 km ma direction 60 north...Ch. 2 - In an attempt to escape a desert island, a...Ch. 2 - Assuming the +x -axis is horizontal to the right...Ch. 2 - Given the vectors in the preceding figure, find...Ch. 2 - A delivery man starts at the post office, drives...Ch. 2 - An adventurous dog strays from home, runs three...Ch. 2 - If , and , find the unknown constants a and b such...Ch. 2 - Given the displacement vector , find the...Ch. 2 - Find the unit vector of direction for the...Ch. 2 - At one point in space, the direction of the...Ch. 2 - A barge is pulled by the two tugboats shown in the...Ch. 2 - In the control tower at a regional airport, an air...Ch. 2 - Assuming the axis is horizontal to the right for...Ch. 2 - Assuming the +x-axis is horizontal to the right...Ch. 2 - Find the angle between vectors for (a)...Ch. 2 - Find the angles that vector makes with the and...Ch. 2 - Show that the force vector is orthogonal to the...Ch. 2 - Assuming the +x-axis is horizontal to the right...Ch. 2 - Find the cross product for (a) and (b) and (c) and...Ch. 2 - For the vectors in the earlier figure, find (a)...Ch. 2 - (a) If AF=BF , can we conclude A=B ? (b) If AF=BF...Ch. 2 - You fly 32.0 km in a straight line in still air in...Ch. 2 - Rectangular coordinates of a point are given by...Ch. 2 - If the polar coordinates of a point are (r,)and...Ch. 2 - Prob. 74APCh. 2 - Starting at the island of Moi in an unknown...Ch. 2 - An air traffic controller notices two signals from...Ch. 2 - Show that when A+B=C then A2+B2+2ABcos , where is...Ch. 2 - Four force vectors each have the same magnitude...Ch. 2 - A skater glides along a circular path of radius...Ch. 2 - A stubborn dog is being walked on a leash by its...Ch. 2 - If the velocity vector of a polar bear is u=(-18.0...Ch. 2 - Find the scalar components of three-dimensional...Ch. 2 - A diver explores a shallow reef off the coast of...Ch. 2 - A force vector A has x and y components,...Ch. 2 - Vectors A and B are two orthogonal vectors in the...Ch. 2 - For the three-dimensional vectors in the following...Ch. 2 - Show that (BC)A is the volume of the...Ch. 2 - Vector B is 5.0 cm long and vector A is 4.0 cm...Ch. 2 - What is the component of the force vector G=(3.0...Ch. 2 - The following figure shows a triangle formed by...Ch. 2 - between points in a plane do not change when a...
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