A rod of length 3 meters with density 6(x) = 1.1 + 1.1x4grams/meter is positioned along the positive x-axis, with its left end at the origin. Find the total mass and the center of mass of the rod. Round your answers to four decimal places. The total mass of the rod is The center of mass of the rod is i grams. meters.

A rod of length 3 meters with density 6(x) = 1.1 + 1.1x4grams/meter is positioned along the positive x-axis, with its left end at the origin. Find the total mass and the center of mass of the rod. Round your answers to four decimal places. The total mass of the rod is The center of mass of the rod is i grams. meters.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 26P: A rod of length 30.0 cm has linear density (mass per length) given by =50.0+20.0x where x is the...

See similar textbooks

Similar questions

Check Your Understanding Notice that the mass of the air in the tank was neglected in the analysis and solution. How would the solution method changed if the air was included? How large difference do you think if would make in the final answer?
Three masses arranged as 6.00 [kg], 8.00 [kg]. What 25. y (m) shown on the right where ma mB = 4.00 |kg), and mc is the location of the center of mass? 4 A. (0.44 [m], 0.44 [m]) B. (2.67 [m], 2.67 [m]) 2 C. (2.44 [m], 2.89 [m]) Bo 1 D. (2.89 [m], 2.44 [m]) x (m) 2
A rod of length 23.50 cm has a linear density (mass per length) given by λ = 50 +22.5x where x is the distance from one end and λ is measured g/m. a) What is the mass of the rod? (in grams) b) How far from the x=0 end is the center of mass of the rod? (in m)
Three objects A, B, and C are moving as shown in the figure below (Figure 1). Assume that A = 11.0 m/s, vB = 9.2 m/s, and vc = 4.0 m/s. Figure 5.0 kg B60° Vc. HA 6.0 kg 10.0 kg 1 of 1 > Find the x-component of the net momentum of the particles if we define the system to consist of A and C. Express your answer in kilogram meters per second. [ΠΙ ΑΣΦ ? Px = kg. m/s Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Find the y-component of the net momentum of the particles if we define the system to consist of A and C. Express your answer in kilogram meters per second. OF [Π ΑΣΦ kg. m/s Request Answer Part C Find the x-component of the net momentum of the particles if we define the system to consist of B and C. Express your answer in kilogram meters per second. IVE ΑΣΦ ? kg. m/s Py = Submit Px =
Sulfur dioxide 1SO22 consistsof two oxygen atoms (each of mass 16 u, where u is defined inProblem 39) and a single sulfur atom (of mass 32 u). The centerto-center distance between the sulfur atom and either of the oxygen atoms is 0.143 nm, and the angle formed by the three atoms is120°, Find the x and y coordinates of thecenter of mass of this molecule.
Question 2: A thin rod of length l has a non-uniform mass distribution as shown in Figure 2. The linear mass density d is given by A = Aæ² where A is a positive constant. a) Find the total mass of the rod. b) Find xem (the x coordinate of the center of mass of the rod) in terms of l. Figure 2
A ball of mass m₁ = 0.204 kg and velocity 1.571 m/s collides elastically with a ball of mass m₂ = 0.290 kg and velocity -0.393î m/s. Assume the collision is head-on. (Express your answers in vector form. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Find their velocities after the collision (in m/s). Vif 2f = = cm, before m/s (b) Find the velocity of their center of mass before and after the collision (in m/s). cm, after m/s m/s m/s
USING THE UAM FORMULA, SOLVE THIS 1. A 6 kg object accelerates at 2.5 m/s^2 after a force is applied for 10s. Find the(a) Force applied. (b) speed of the object at the end of 10 s, (c) change in momentum of the block, and (d) impulse produced by the force. 2. How much force is needed to stop a 10 kg object moving at 4 m/s in just 10 s? Explain your answer.
A metallic bar of length 60 cm has linear density (mass per length) given by 2=0.15+6x 23 - where x is the distance from one end, measured in meters, and is in grams/meter. Which expression gives the correct result for the center of mass of the bar from x = 0 end?
How do you find the the center of mass of a lamina whose density is given by p(x, y) on a region R?? Here m is the mass, M, is the moment in the x- axis and My is the moment in the y- axis М, М, Center of mass is located at т m The coordinates of the center are (M2, My) Find the moment M, and divide by the mass m The center of mass is located in the center of the universe. Find the moment M, and divide by moment My о ООО
Question 2: An OSU-branded squishy moon ball has a mass of 25 g and a diameter of 60 mm. Consider two squishy moons located in deep space far from the Sun or any other massive body. The two squishy moons form a binary system with their centers separated by 0.5 meters, and they are in circular orbits around their common center of mass. a. Draw a sketch of the squishy moon system and correctly label the dimensions and orbits. b. What is the orbital period of the two squishy moons about their center of mass? c. What is their orbital speed? d. If the squishy moon binary system is 5au from the Sun, what is the Hill radius of the system in the tidal field of the Sun? Compare the Hill radius to the semi-major axis of the squishy moon binary orbit radius and comment on whether this binary squishy moon system is stable when it is 5au from the Sun. e. Follow-up your answer to part d and estimate the distance from the Sun where the squishy moons in this binary system are exactly twice their Hill…
Assume that the origin goes through the place marked in the diagram. The three masses are connected by massless, rigid rods of 30 cm length (center-to-center). If the mass of A is 100 g, the mass of B is 150 g and the mass of C is 400 g, what is the x-coordinate (in cm) of the center of mass? What is the y-coordinate (in cm) of the center of mass?