Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3, Problem 20P
(a)
To determine
Theposition vector of the athlete .
(b)
To determine
The vector velocity components of the athlete at the takeoff point.
(c)
To determine
An athlete jump maximum distance in horizontally.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider a system of two particles in the xy-plane.
For the first particle,
Its mass is m₁ = 1.30 kg
Its position is 7¹₁ = (1.202 + 2.203) m
Its velocity is ₁ = (2.2002 + 0.100)) m/s
For the second particle,
Its mass is m₂ = 2.90 kg
Its position is 7¹2 = (-3.60% - 2.403) m
Its velocity is v₂ = (2.2001 - 2.000)) m/s
a. Find the position of the center of mass of the system.
7CM =
im+m
b. Determine the velocity of the center of mass.
UCM = 2 m/s + m/s
c. What is the total linear momentum of the system?
Pr =
kg-m/s + kg-m/s
The vector position of a 3.50-g particle moving in the xy plane varies in time according to r→1 = (3î + 3ĵ)t + 2ĵ t2, where t is in seconds and r→ is in centimeters. At the same time, the vector position of a 5.50 g particle varies as r→2 = 3î - 2î t2 - 6ĵ t. At t = 2.50 s, determine (a) the vector position of the center of mass of the system, (b) the linear momentum of the system, (c) the velocity of the center of mass, (d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.
A uranium nucleus (mass 238 units) at rest decays into helium nucleus (mass 4.0 units) and thorium nucleus (mass 234 units). If the speed of the helium nucleus is 6.0 x 10^5 m/s, what is the speed of the thorium nucleus?
Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 3.1 - Consider the following controls in an automobile...Ch. 3.3 - (i) As a projectile thrown upward moves in its...Ch. 3.3 - Rank the launch angles for the five paths in...Ch. 3.4 - Which of the following correctly describes the...Ch. 3.5 - A particle moves along a path, and its speed...Ch. 3 - In which of the following situations is the moving...Ch. 3 - A rubber stopper on the end of a string is swung...Ch. 3 - Figure OQ3.3 shows a birds-eye view of a car going...Ch. 3 - Entering his dorm room, a student tosses his book...Ch. 3 - Does a car moving around a circular track with...
Ch. 3 - An astronaut hits a golf ball on the Moon. Which...Ch. 3 - A projectile is launched on the Earth with a...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A sailor drops a wrench from the top of a...Ch. 3 - A set of keys on the end of a string is swung...Ch. 3 - Prob. 12OQCh. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - A projectile is launched at some angle to the...Ch. 3 - A motorist drives south at 20.0 m/s for 3.00 min,...Ch. 3 - Prob. 2PCh. 3 - A particle initially located at the origin has an...Ch. 3 - It is not possible to see very small objects, such...Ch. 3 - A fish swimming in a horizontal plane has velocity...Ch. 3 - At t = 0, a particle moving in the xy plane with...Ch. 3 - Mayan kings and many school sports teams are named...Ch. 3 - The small archerfish (length 20 to 25 cm) lives in...Ch. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - A firefighter, a distance d from a burning...Ch. 3 - A soccer player kicks a rock horizontally off a...Ch. 3 - Prob. 18PCh. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - Prob. 20PCh. 3 - A playground is on the flat roof of a city school,...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - As their booster rockets separate, Space Shuttle...Ch. 3 - Prob. 26PCh. 3 - The astronaut orbiting the Earth in Figure P3.27...Ch. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - A point on a rotating turntable 20.0 cm from the...Ch. 3 - Figure P3.31 represents the total acceleration of...Ch. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - A certain light truck can go around an unbanked...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - Why is the following situation impassible? A...Ch. 3 - An astronaut on the surface of the Moon fires a...Ch. 3 - The Vomit Comet. In microgravity astronaut...Ch. 3 - A projectile is fired up an incline (incline angle...Ch. 3 - A basketball player is standing on the floor 10.0...Ch. 3 - A truck loaded with cannonball watermelons stops...Ch. 3 - A ball on the end of a string is whirled around in...Ch. 3 - An outfielder throws a baseball to his catcher in...Ch. 3 - Prob. 51PCh. 3 - A skier leaves the ramp of a ski jump with a...Ch. 3 - A World War II bomber flies horizontally over...Ch. 3 - A ball is thrown with an initial speed vi at an...Ch. 3 - Prob. 55PCh. 3 - A person standing at the top of a hemispherical...Ch. 3 - An aging coyote cannot run fast enough to catch a...Ch. 3 - Prob. 58PCh. 3 - The water in a river flows uniformly at a constant...Ch. 3 - Prob. 61P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A small block with mass 0.200 kg is released from rest at the top of a frictionless incline. The block travels a distance 0.508 m down the incline in 2.00 s. The 0.200 kg block is replaced by a 0.400 kg block. If the 0.400 kg block is released from rest at the top of the incline, how far down the incline does it travel in 2.00 s?arrow_forwardThe robot moves the particle A (mass M) in the vertical plane using polar coordinate formulas r (t) = 1.2-0.6sin (2πt) [m] θ (t) = 0.5-1.5cos (2πt) [rad] in accordance with. Determine the position of the arm in the r direction (length) at time t0 = 1.9 s ANSWER THIS QUESTION IN METERS GIVE ANSWER TO THREE DECIMALSarrow_forwardPosition vector= r = (4t^2 +t^2)i + (3t^4 + t^2 + 8)j + (2t^2)k. Find velocity v acceleration a, P=momentum, Force=F?arrow_forward
- Two forces, 1 = (−6.55î + 4.75ĵ) N and 2 = (−4.05î + 6.40ĵ) N, act on a particle of mass 2.20 kg that is initially at rest at coordinates (+2.30 m, +4.10 m). In what direction is the particle moving at t = 10.1 s? What displacement does the particle undergo during the first 10.1 s? What are the coordinates of the particle at t = 10.1 s?arrow_forwardA baseball with mass of 0.16 kg is batted into the air. Its initial speed is 37.7 m/s, directed at an angle 30 degrees above the horizontal. After 0.10 seconds, what is the horizontal component of the ball's velocity (in m/s)?arrow_forwardA 5kg object is hanging by a 1.5m wire when it is suddenly hit by a 3kg missile traveling horizontally at 12m/s. The missile embeds itself in the object during the collision. What is the tension in the rod immediately after the collision? (Answer in whole number, no unit)arrow_forward
- A train of mass 9.26e+4 moving with a velocity of magnitude 72.9 hits a car of mass 1.78e+3 at rest. If the train exerts a force of magnitude 1.86e+3 on the car, what is the magnitude of the force exerted by the car on the train? All quantities are given in Sl units and the answer should be given as a positive or negative number in SI units. Only type a number into the answer box, do not type in units.arrow_forwardThe travel of an acrobat through space can be modeled as the travel of a particle at the acrobat's center of mass, as we will study in a later chapter. The components of the displacement of an acrobat's center of mass from the beginning to the end of a certain trajectory are described by the equations X = 0 + (11.9 m/s) (cos(18.5°))Tf 0.130 m = 0.650 m + (11.9 m/s)(sin(18.5°))T(9.80 m/s²)T/² where T, is in seconds and is the time it takes the acrobat to travel from the takeoff site to the landing point. (a) Identify the acrobat's position (in vector notation) at the takeoff point (in m). (Let the x- and y-direction be along the horizontal and vertical direction, respectively.) = (b) Identify the vector velocity at the takeoff point. (Enter the magnitude in m/s and the direction in degrees counterclockwise from the +x-axis.) m/s magnitude direction ° counterclockwise from the +x-axis (c) How far (in m) did the acrobat land from the takeoff point? Need Help? m m Read Itarrow_forwardA car (VW) and a truck (C) collide inelastically (stick together). The impact is made in a very short time of Δt = 0.1 s. Initial speeds:UVW = 40.0 m / sUC = 30.0 m / sMasses:MVW = 900.0 kgMC = 2000.0 kg a) Determine the initial vector velocities (use rectangular notation)UVW = UC = b) Determine the total vector momentum Initial Pi = c) Determine the final velocity of both V = Solve the 3 subsectionsarrow_forward
- An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma=102 kg and the bag of tools has a mass of mb=10.0 kg. If the astronaut is moving away from the space station at vi=1.50 m/s initially, what is the minimum final speed vb,f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever? vb,f = ? m/sarrow_forwardA 2.0 kg projectile with initial velocity v→ = 6.5 ı^ m/s experiences the variable force F→ =-2.0t ı^ + 4.0t^2 ȷ^ N, where t is in s. What is the projectile's speed at t = 2.0 s? At what instant of time is the projectile moving parallel to the y-axis?arrow_forwardA box of mass M=1980 g, filled with sand, is suspended from a 1=1.5 m long rope. The length of the rope is much larger than the dimensions of the box. A bullet with mass m=20 g flying with a velocity of v=500 m/s in the horizontal direction hits the box and gets stuck. Find the maximum deviation angle of the rope from the vertical. Neglect the drag force of the air. Take g=10m/s^2.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Conservative and Non Conservative Forces; Author: AK LECTURES;https://www.youtube.com/watch?v=vFVCluvSrFc;License: Standard YouTube License, CC-BY