Kindly answer this with complete solution #8. A rod of length 30.0 cm has linear density (mass per length) given bya = 50.0 + 20.0rwhere x is the distance from one end, measured in meters, and a is in grams/meter.(A) What is the mass of the rod?(B) How far from the r 0 end is its center of mass?

Answered: Image /qna-images/answer/a733c023-eaa3-4d4e-b833-53ef643a5a6d.jpg

#8. A rod of length 30.0 cm has linear density (mass per length) given by a = 50.0 + 20.0x where x is the distance from one end, measured in meters, and A is in grams/meter. (A) What is the mass of the rod? (B) How far from the x= 0 end is its center of mass?

#8. A rod of length 30.0 cm has linear density (mass per length) given by a = 50.0 + 20.0x where x is the distance from one end, measured in meters, and A is in grams/meter. (A) What is the mass of the rod? (B) How far from the x= 0 end is its center of mass?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 39P: A 2.00-kg particle has a velocity (2.00i3.00j)m/s, and a 3.00-kg particle has a velocity...

See similar textbooks

Related questions

Q: Object 1 is located at (0.2,-1.6) m and has a mass of 74.6 kg. Object 2 is located at (3.4,-1.4) m…

A: Given data: m1 = 74.6 kg at (x1, y1) = (0.2, -1.6) m m2 = 56.6 kg at (x2, y2) = (3.4, -1.4) m m3 =…

Q: ee solid, uniform boxes are aligned as in the figure below. Find the x- and y-coordinates (in m) of…

Q: The vector position of a 3.80 g particle moving in the xy plane varies in time according to r, = (3î…

Q: A bullet, having a mass of 0.04 kg moving with a velocity of 450 m/s penetrates a distance of 0.08 m…

A: The expression for the acceleration of the bullet from the kinematic equation, v2=v02+2ada=v2-v022d…

Q: Calculate the location of the center of mass of a thin uniform meter stick of mass 70.0 g, on which…

Q: 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…

A: The masses of the objects are: m1=5 kgm2=12 kg The center of mass of the objects are: x1=2 mx2=6 m

Q: A 59-kg woman and a 71-kg man sit on a seesaw, 3.5 m long. Where is their center of mass? Answers:…

Q: 4. In the figure, four-pont masses are placed as shown. What is the x and y coordinates of the…

A: Hello. Since your question has question, we will solve the first one for you. If you want remaining…

Q: A uniform piece of sheet metal is shaped as shown in the figure below. Compute the x and y…

A: The x co-ordinate of center of mass is

Q: Three masses, 1.0 kg, 2.0 kg, and 3.0 kg, are located at (0, 0), (1.0 m, 1.0 m), and (2.0 m, -2.0…

A: Given data Mass m1 =1.0 kg located at (x1, y1)=(0, 0) Mass m2 =1.0 kg located at (x2, y2)=(1.0 m,…

Q: A 48.9 g bullet strikes and becomes embedded in a 1.52 kg block of wood placed on a horizontal…

A: Let speed of block after bullet embedded is v Now, by work energy theorem Kf - Ki = Wf 0 -…

Q: A 2.0 m rod of negligible mass connects two small objects. The mass of one object is 1 kg and the…

A: SOlution: given that mas of first object m1 = 1 kg distance between two mass is = 2 m centre of mass…

Q: 11.1 The centre of mass m₁ is located at distance r from the centre of mass m₂, and m₁ undergoes a…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ve the problems about momentum, impulse, the center of mass and conservation of momentum. A car with…

A: Case-1 Given values:- Mass of the car,(m)=1500000 gm=1500 kg ----(1) Velocity of car,(v)=10 m/sec…

Q: A 12.5 cm tall soft drink can has a mass of 17.1 g and contains 360 g of soda when full. Assuming…

A: Height of soft drink can = 12.5 cm mass of empty can = 17.1 g mass of soda that can completely fill…

Q: 4. A bullet, having a mass of 0.04 kg moving with a velocity of 450 m/s penetrates a distance of…

A: The equation of motion is v2=u2+2as…

Q: A 2x103 g metal sphere makes an elastic collision with another metal sphere at rest and continues to…

A: Collisions are of 2 types which are elastic and inelastic. Kinetic energy is conserved in elastic…

Q: The total linear momentum of a system can be zero, even if all the objects in the system are moving.…

A: Answer- True

Q: The velocity of an object with mass m1 = 5kg is V1 = (4i + 7j) m / s and the speed of an object with…

Q: 1. A uniform meter stick has a mass m1 = 10.0 kg placed at 100.0 cm mark and another mass m2 = 20.0…

Q: Four objects are situated along the y axis as follows: 5.8 kg object is at +30 m, 21.9 kg object is…

A: Given values: Masses and respective y-co-ordinates, m1=5.8 kg, y1=30 mm2=21.9 kg, y2=25 mm3=19.4…

Q: Two identical hard spheres, each of mass m and radius r, are released from rest in otherwise empty…

Q: Four objects are situated along the y axis as follows: a 1.94-kg object is at +3.01 m, a 3.06-kg…

A: The mass of the objects 1.94kg at +3.01m, 3.06kg at…

Q: A 12.5 cm tall soft drink can has a mass of 16.9 g and contains 364 g of soda when full. Assuming…

A: (a) For the half-filled, the mass of soda is:

Q: Four particles are arranged in a square with sides of 1.0 m. The bottom particles each have a mass…

Q: Two ice skaters, with masses of 54 kg and 70.2 kg, are at the center of a 69.27m diameter circular…

A: Given the mass of the two skaters m = 54 kg and M =70.2 kg Radius of the circular rink is r =…

Q: 1. Four objects are situated along y-axis as follows; a 2.00-kg object is at + 3.00 meters, 5.00-kg…

A: Given : m1 = 2 kg, y1 = 3 m m2 = 5 kg, y2 = 1.5 m m3 = 4.5 kg,…

Q: A 12.5 cm tall soft drink can has a mass of 17.0 g and contains 362 g of soda when full. Assuming…

Q: 15-2. Determine the linear momentum of the 10-kg block. To booga 001 sdi vd bowoi ei bus a) 10 m/s 6…

Q: 1. Calculate the location of center of mass of the system of 4 point masses as shown in the Figure.…

Q: A 12.5 cm tall soft drink can has a mass of 17.7 g and contains 364 g of soda when full. Assuming…

A: Given :- m1 = 17.7 g x 1 = 6.25 m 2 = 364 g /2 = 182 (for half full) X 2 = 6.26 /2 = 3.125 (for…

Q: You are holding a shopping basket at the grocery store with two 0.58 kg cartons of cereal at one end…

A: M = 1.8 kg, m = 0.58 kg L = 0.8 m

Q: y 26 сш 10 ст 24 сш

Q: *13. D An 85-kg jogger is heading due east at a speed of 2.0 m/s. A 55-kg jogger is heading 32°…

A: The momentum of 85 kg jogger along X and Y direction is PX=mvx=85 kg2.0ms=170 kg·msPy=0 kg·ms The…

Q: An 75-kg jogger is heading due east at a speed of 1.3 m/s. A 84-kg jogger is heading 37 ° north of…

Q: A person is pushing a 8 kg block along a horiontal surface at a constant speed of 15.4 m/s. The…

A: Impulse due to gravity is = (Gravitational force)*(time ) Impulse = mg*time Impulse = m*g*(d/v)…

Q: 2. Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in…

A: (given) m1=8 kgm2=7.50 kgM = 9 kgL = 3 mLocation of centre of mass is given byxcm =…

Q: A uniform meter stick has a mass m1 = 10.0 kg placed at 100.0 cm mark and another mass m2 = 20.0 kg…

A: Given that, First mass m1=10.0 kg Distance of m1= 100.0 cm Another mass m2=20.0 kg Distance of m2 =…

Q: r=1 m Find the X center of mass of the ¼ cylinder shape with mass M=5 kg, radius r=1 m and 2 m…

Q: An 83-kg jogger is heading due east at a speed of 2.2 m/s. A 76-kg jogger is heading 18 ° north of…

A: assume that, X-axis of coordinate system is along the East hence, X-component of momentum, Px=P1+P2x…

Q: The figure shows a distribution of several objects, in which m1 = 3.0 kg, m2 = 2.0 kg, and m3 =…

Q: 8. During a collision the center of mass remains constant. The velocity of the center of mass in an…

A: Since the system is isolated and the total linear momentum remains constant, there will be no…

Q: A rod 2 meters long has a linear density of p(x) = 8 - 3x. How far, in meters, is the center of mass…

A: Given data ρx=8-3x

Question

Kindly answer this with complete solution

#8. A rod of length 30.0 cm has linear density (mass per length) given by
a = 50.0 + 20.0r
where x is the distance from one end, measured in meters, and a is in grams/meter.
(A) What is the mass of the rod?
(B) How far from the r 0 end is its center of mass?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A 2.00-kg particle has a velocity (2.00i3.00j)m/s, and a 3.00-kg particle has a velocity (1.00i+6.00j)m/s. Find (a) the velocity of the center of mass and (b) the total momentum of the system.
The vector position of a 3.50-g particle moving in the xy plane varies in time according to r1=(3i+3j)t+2jt2, 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 r2=3i2it26jt. 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) Does the center of mass of a rocket in free space accelerate? Explain. (b) Can the speed of a rocket exceed the exhaust speed of the fuel? Explain.
Review. Two identical hard spheres, each of mass m and radius r, are released from rest in otherwise empty space with their centers separated by the distance R. They are allowed to collide under the influence of their gravitational attraction. (a) Show that the magnitude of the impulse received by each sphere before they make contact is given by [Gm3(1/2r 1/R)1/2. (b) What If? Find the magnitude of the impulse each receives during their contact if they collide elastically.
A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 5.20 m/s in 0.832 s. What are the magnitudes of (a) the linear impulse and (b) the average total force experienced by a 70.0-kg passenger in the car during the time the car accelerates?
A 2.00-kg particle has a velocity (2.00. 3.00) m/s, and a 3.00-kg particle has a velocity (1.00 + 6.00) m/s. Had (a) the velocity of the center of mass and (b) the total momentum of the system.
To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to frictionless. The center of ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction and friction forces on the ladder at its base.
NASAs Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 106 N of thrust while burning fuel at a rate of 2.63 103 kg/s. Calculate the engines exhaust speed.
Can you please help me with this problem? In this problem, there is a 5.5 kg mass at (0,-4)m, a 8.5 kg mass at (-3, 6)m, and a 6 kg mass at (2, 0)m. What is the coordinates of the center of mass?
One astronaut is 75kg, and another who is 3.4 m away in the x-direction is 85kg. How far from the first astronaut is their mutual center of mass? Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown.
To 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.
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?