[a] An asteroid with mass X kilograms (kg) is moving eastward at Y meters per second (m/s) collides another asteroid, also with mass X kg, which is moving northward at Z m/s. They stick together and keep moving through space. Draw a diagram of this interaction, labeling all the relevant objects, quantities, and velocity vectors before and after the collision. [b] What is the velocity (magnitude and direction) of the two asteroids after they collide? Your answer should be significant to two digits.

[a] An asteroid with mass X kilograms (kg) is moving eastward at Y meters per second (m/s) collides another asteroid, also with mass X kg, which is moving northward at Z m/s. They stick together and keep moving through space. Draw a diagram of this interaction, labeling all the relevant objects, quantities, and velocity vectors before and after the collision. [b] What is the velocity (magnitude and direction) of the two asteroids after they collide? Your answer should be significant to two digits.

Name: [a] An asteroid with mass X kilograms (kg) is moving eastward at Y me
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: [a] An asteroid with mass X kilograms (kg) is moving eastward at Y meters per second (m/s)collides another asteroid, also with mass X kg, which is moving northward at Z m/s. They sticktogether and keep moving through space. Draw a diagram of this in

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite. ...............m/s
Two manned satellites approaching one another at a relative speed of 0.400 m/s intend to dock. The first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.
Two manned satellites approaching one another at a relative speed of 0.150 m/s intend to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.
Consider the ballistic pendulum setup: A bullet of mass m with speed vo hits a pendulum bob of mass M, suspended by a massless rope of length L. The bullet gets stuck inside, making the pendulum swing up to some height. The maximum height the pendulum can reach is solved below: L m M Solution: At the start, the bullet has a momentum muo. When they collide and the bullet gets inside, the speed of the combined masses can be obtained using conservation of linear momentum. muo (m+ M)v, where u is the speed of the combined masses. Therefore, we get Finally, we have h = V= m+ M At the instant the masses move, they initially have purely kinetic energy given by 1 m² 2 m+ M This kinetic energy becomes potential energy at the maximum height. We get 1 (m +1 ·(m + 1 m² 00² 2 (m+M)² g T= (m+ (m + M)v² m M)v². = VO- = 1 m² 2m+M 0 v². = (m + M)gh. Problem needs to solve: Show that the angle from the figure is given by 0 = cos-¹ (Provide full solution of the problem). m²V0² 2gL(m+M)2
Two manned satellites approach one another at a relative speed of 0.300 m/s, intending to dock. The first has a mass of 2.50 x 10° kg, and the second a mass of 7.50 x 10° kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second? (Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.) m/s
Problem #2: A ballistic of mass m = 0.0100 kg is fired into a wooden hanging block of mass M = 1.00 kg and an inelastic collision occurs. The force of impact causes both masses, now stuck together, to swing up a height, h from the vertical position the ballistic was initially fired at. If the ballistic was initially fired at a horizontal speed of v = 300 m/s, what is the vertical change in height, h, of m + M after the collision, assuming the masses come to rest temporarily at h? M Problem #3: M+m Page 3 A force uses a 60.0 kg mass to compress a spring 5.25 meters across a frictionless surface. If the spring constant k is 25.0 N/m, what will be the maximum speed of the mass if it is released from rest and the spring is allowed to accelerate it?
Two manned satellites approaching one another at a relative speed of 0.100 m/s intend to dock. The first has a mass of 4.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. Assume that the positive direction is directed from the second satellite towards the first satellite.(a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.........................m/s(b) What is the loss of kinetic energy in this inelastic collision? ...........................J(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.final velocity ........................m/sloss of kinetic energy........................... J
A nucleus, initially at rest, decays radioactively. In the process, it emits an electronhorizontally to the east, with momentum 9.0 x 10 –21 kg·m/s and a neutrino horizontally to the south, with momentum 4.8 x 10 –21 kg·m/s. (a) In what direction does the residual nucleus move?(b) What is the magnitude of its momentum?(c) If the mass of the residual nucleus is 3.6 x 10 –25 kg, what is its recoil velocity?
Two manned satellites approach one another at a relative speed of 0.500m/s, intending to dock. The first has a mass of 4.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second? (Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.) m/s
Two manned satellites approaching one another, at a relative speed of 0.250 m/s, intending to dock. The first has a mass of 4.00×103kg , and the second a mass of 7.50×103kg . (a) Calculate the final velocity (after docking) by using the frame of reference in which the first satellite was originally at rest. (b) What is the loss of kinetic energy in this inelastic collision? (c) Repeat both parts by using the frame of reference in which the second satellite was originally at rest. Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.
Two masses constrained to move in a horizontal plane collide. Given initially m₁ = 85 gms, m₂ = 200 gms; u₁ = 6.48 cms/sec and u₂= - 6.78 cms/sec, find the veloctiy of centre of mass.
A projectile with a mass m = 200 kg and a velocity v = 100 m s−1 is fired at an angle of ϕ = 60 ◦ . At the highest point of its trajectory, it explodes and breaks into three pieces with the same mass. Two pieces have the same velocity magnitude as the projectile shortly before the explosion. One of those two pieces moves vertically downwards, and the other moves horizontally forward. a) Compute the velocity of the third piece right after the explosion. b) What was the released energy of the explosion?