Mastering Physics with Pearson eText -- Standalone Access Card -- for Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780133857955
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9, Problem 43P
Find the center of mass of the uniform, solid cone of height h, base radius R, and constant density ρ shown in Fig. 9.25. (Hint: Integrate over disk-shaped mass elements of thickness dy, as shown in the figure.)
FIGURE 9.25 Problem 43
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Calculate the location of the center of mass of a thin uniform meter stick of mass 70.0 g, on which at attached two masses, 1.20 kg at 0.00 cm position, and 2.30 kg at the 100 cm position.
A bullet, having a mass of 0.0400 kg moving with a velocity of 450 m/spenetrates a distance of 0.0800 m into a wooden block firmly attached to theearth. Assuming a constant accelerating force, compute the following:
a) the acceleration of the bullet,b) the accelerating force,c) the time of acceleration, andd) the impulse of the collision.
A bullet, having a mass of 0.04 kg moving with a velocity of 450 m/s penetrates a distance of 0.08 m into a wooden block firmly attached to the earth. Assuming a constant accelerating force, compute the following:
a) the acceleration of the bullet,
b) the accelerating force,
c) the time of acceleration, and d) the impulse of the collision.
Chapter 9 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for Essential University Physics (3rd Edition)
Ch. 9.1 - Prob. 9.1GICh. 9.2 - A 500-g fireworks rocket is moving with velocity...Ch. 9.2 - Two skaters toss a basketball back and forth on...Ch. 9.3 - Which of the following systems has (1) zero...Ch. 9.4 - Which of the following qualifies as a collision?...Ch. 9.5 - Which of the following collisions qualify as...Ch. 9.6 - One ball is at rest on a level floor. A second...Ch. 9 - Roughly where is your center of mass when youre...Ch. 9 - Prob. 2FTDCh. 9 - Prob. 3FTD
Ch. 9 - The momentum of a system of pool balls is the same...Ch. 9 - An hourglass is inverted and placed on a scale....Ch. 9 - Why are cars designed so that their front ends...Ch. 9 - Give three everyday examples of inelastic...Ch. 9 - Is it possible to have an inelastic collision in...Ch. 9 - Prob. 9FTDCh. 9 - Why dont we need to consider external forces...Ch. 9 - How is it possible to have a collision between...Ch. 9 - A pitched baseball moves no faster than the...Ch. 9 - Two identical satellites are going in opposite...Ch. 9 - Prob. 14ECh. 9 - Two particles of equal mass m are at the vertices...Ch. 9 - Rework Example 9.1 with the origin at the center...Ch. 9 - Prob. 17ECh. 9 - Prob. 18ECh. 9 - A popcorn kernel at rest in a hot pan bursts into...Ch. 9 - A 60-kg skater, at rest on frictionless ice,...Ch. 9 - A plutonium-239 nucleus at rest decays into a...Ch. 9 - A toboggan of mass 8.6 kg is moving horizontally...Ch. 9 - A 150-g trick baseball is thrown at 60 km/h. It...Ch. 9 - An object with kinetic energy K explodes into two...Ch. 9 - Two 140-kg satellites collide at an altitude where...Ch. 9 - High-speed photos of a 220-g flea jumping...Ch. 9 - Youre working in mission control for an...Ch. 9 - In a railroad switchyard, a 56-ton freight car is...Ch. 9 - In a totally inelastic collision between two equal...Ch. 9 - Prob. 30ECh. 9 - Two identical trucks have mass 5500 kg when empty,...Ch. 9 - An alpha particle (4He) strikes a stationary gold...Ch. 9 - Playing in the street, a child accidentally tosses...Ch. 9 - A block of mass m undergoes a one-dimensional...Ch. 9 - A proton moving at 6.9 Mm/s collides elastically...Ch. 9 - A head-on, elastic collision between two particles...Ch. 9 - Find the center of mass of a pentagon with five...Ch. 9 - Wildlife biologists fire 20-g rubber bullets to...Ch. 9 - Consider a system of three equal-mass particles...Ch. 9 - Youre with 19 other people on a boat at rest in...Ch. 9 - A hemispherical bowl is at rest on a frictionless...Ch. 9 - Physicians perform needle biopsies to sample...Ch. 9 - Find the center of mass of the uniform, solid cone...Ch. 9 - A firecracker, initially at rest, explodes into...Ch. 9 - An 11,000-kg freight car rests against a spring...Ch. 9 - On an icy road, a 1200-kg car moving at 50 km/h...Ch. 9 - A 1250-kg car is moving with velocity...Ch. 9 - Masses m and 3m approach at the same speed v and...Ch. 9 - A 238U nucleus is moving in the x-direction at 5.0...Ch. 9 - A cylindrical concrete silo is 4.0 m in diameter...Ch. 9 - A 42-g firecracker is at rest at the origin when...Ch. 9 - A 60-kg astronaut floating in space simultaneously...Ch. 9 - Assuming equal-mass pieces in Exercise 24, find...Ch. 9 - A 62-kg sprinter stands on the left end of a...Ch. 9 - Youre a production engineer in a cookie factory,...Ch. 9 - Mass m, moving at speed 2v, approaches mass 4m,...Ch. 9 - Verify explicitly that kinetic energy is conserved...Ch. 9 - While standing on frictionless ice, you (mass 65.0...Ch. 9 - Youre an accident investigator at a scene where a...Ch. 9 - A fireworks rocket is launched vertically upward...Ch. 9 - Two objects moving in opposite directions with the...Ch. 9 - Explosive bolts separate a 950-kg communications...Ch. 9 - Youre working in quality control for a model...Ch. 9 - Youre investigating an accident in which a 1040-kg...Ch. 9 - A 400-mg popcorn kernel is skittering across a...Ch. 9 - Two identical objects with the same initial speed...Ch. 9 - A proton (mass 1 u) moving at 6.90 Mm/s collides...Ch. 9 - Two objects, one initially at rest, undergo a...Ch. 9 - Blocks B and C have masses 2m and m, respectively,...Ch. 9 - Derive Equation 9.15b.Ch. 9 - An object collides elastically with an equal-mass...Ch. 9 - A proton (mass 1 u) collides elastically with a...Ch. 9 - Two identical billiard balls are initially at rest...Ch. 9 - Find an expression for the impulse imparted by a...Ch. 9 - A 32-u oxygen molecule (O2) moving in the...Ch. 9 - A 114-g Frisbee is lodged on a tree branch 7.65 m...Ch. 9 - You set a small ball of mass m atop a large ball...Ch. 9 - A car moving at speed v undergoes a...Ch. 9 - A 200-g block is released from rest at a height of...Ch. 9 - A 14-kg projectile is launched at 380 m/s at a 55...Ch. 9 - During a crash test, a car moving at 50 km/h...Ch. 9 - Use numerical or graphical techniques to estimate...Ch. 9 - A block of mass m1 undergoes a one-dimensional...Ch. 9 - Two objects of unequal mass, one initially at...Ch. 9 - Prob. 86PCh. 9 - Prob. 87PCh. 9 - In a ballistic pendulum demonstration gone bad, a...Ch. 9 - An 80-kg astronaut has become detached from the...Ch. 9 - Prob. 90PCh. 9 - A thin rod extends from x = 0 to x = L. It carries...Ch. 9 - Model rocket motors are specified by giving the...Ch. 9 - A block of mass M is moving at speed r0 on a...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...Ch. 9 - Youre interested in the intersection of physics...
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
- Find the center of mass of the regular ∟-shaped iron bar with sides 0.40 m and 0.70 m, respectively. (Assume the ∟ shape of the rod is thin.)arrow_forwardFind the coordinates of the center of mass of the following solid with variable density. R={(x,y,z): 0≤x≤2, 0≤y≤5, 0≤z≤5}; ρ(x,y,z)=3 + x/2arrow_forwardDetermine the center of mass of a uniform cone of height h and radius R, with its axis pointing along z. (Hints: What is the CM in x and y? Let λ by the mass density per unit volume, and find the mass of the thin disk shown in the drawing. How is r/z related to R/h?)arrow_forward
- A rod 2 meters long has a linear density of p(x) = 8 - 3x. How far, in meters, is the center of mass of the rod if measured from the left?arrow_forwardA device called a ballistic pendulum is used to calculate the muzzle velocity of a bullet. What will be the muzzle velocity of a projectile of mass 20.5g that is fired into a 750g block and imbeds itself, causing the block, which is attached to a 75-cm string, to rise to an angle of 33 degrees?arrow_forwardTo keep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0 cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 70.0 kg person, the mass of the upper leg is 8.60 kg, while that of the lower leg (including the foot) is 5.25 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is (a) fully extended, and (b) bent at the knee to form a right angle with the upper leg.arrow_forward
- Find the center of mass of the three-mass system shown in the figure relative to the mass m = 1.47 kgarrow_forwardUSING THE UAM FORMULA, SOLVE: A constant force of 3.5 N acts on a 7 kg block, initially at rest, for 7.0 s. Find the(a) acceleration of the block, (b) speed of the block at the end of 7.0 s, (c) change in momentum of the block, and (d) impulse produced by the force.arrow_forwardA lamina occupies the region inside the circle x^2+y^2=16 but outside the circle x^2+y^2=64 The density at each point is inversely proportional to its distance from the orgin. Where is the center of mass?arrow_forward
- Suppose that m1 = 5.0 kg and x1 = 2.0 m, while m2 = 12.0 kg and x2 = 6.0 m, where is the center of mass located?arrow_forwardAt the instant a 2.0-kg particle has a velocity of 4.0 m/s in thepositive x direction, a 3.0-kg particle has a velocity of 5.0 m/s in thepositive y direction. What is the speed of the center of mass of thetwo-particle system?arrow_forwardBall having mass 9kg and velocity 7.5m/s travels to the east. Impulse given at point O, makes it change direction to north with velocity 8.6 m/s. What is the direction of the given impulse, measured in unit of degrees, if the angle is defined as between the horizontal direction (east) and the impulse?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
28.1 Rigid Bodies; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=u_LAfG5uIpY;License: Standard YouTube License, CC-BY