Two bodies of masses 5kg and 15kg are located in the cartesian plane at (1,0) and (0,1). What is the location of their centre of mass? a) 1/4, 1/4 b) 3/4, 3/4 c) 3/4, 1/4 d) 1/4, 3/4
Q: A disk of radius R and density o(r) = 0,(1 –-). A semi-circular disk of uniform density and radius…
A: Solution: The determination of center of mass is given below:
Q: 30° m = 800 kg m 1250 kg As a result of the collision the 1250 kg asteroid splits into two pieces,…
A:
Q: 4) A spacecraft with mass of 6.70 x 10² kg crashes on an asteroid of mass 4.5 x 10² kg. The velocity…
A: mass of spacecraft = 670 kg mass of asteroid = 4.5×109 kg initial velocity of the spacecraft = 6600…
Q: Problem A) Calculate the center of mass of the object below. Take the origin to be where it is…
A: Center of mass of any object in coordinate form is given by…
Q: Three masses are located as follows: a 3.0-kg mass is at the origin, a 4.0-kg mass at (0.0 m, 7.0…
A: Procedure to find coordinates of center of mass is as follows, 1. First find out what is the masses…
Q: A space vehicle is traveling at 2530 km/h relative to Earth when the exhausted rocket motor is…
A: Ans:- Image-1
Q: CHAPTER 11 Most geologists believe that the dinosaurs became extinct 65 million years ago when a…
A: We are given mass of asteroid. We are also given the velocity of the asteroid before collision. We…
Q: A dumbbell consists of 2 masses, one 4 kg and the other 3 kg connected by a 2 m long rod (of…
A:
Q: A spherical asteroid (M = 2.8x10š kg, R = 30 m) is floating motionless (v = 0.0, o = 0.0) in outer…
A: The final velocity of the asteroid spacecraft system is obtained by conservation of linear momentum…
Q: A space vehicle is traveling at 3250 km/h relative to Earth when the exhausted rocket motor is…
A: Law of conservation of momentum:According to the law of conservation of momentum, the total momentum…
Q: Two masses, m and M, are placed along x-axis at a and b, respectively. Find the center of mass for…
A:
Q: Two asteroids of equal mass in the asteroid belt botwoon Mare and lunitor collido with a alancing…
A:
Q: In the figure, three point masses are placed as shown. A =1.50, and B = 0.91. The x and y…
A: The the masses are at coordinates, m1=2kg -1.5,0.91m2=3kg (1.2cos15°, 1.2sin15°)=(0.966,…
Q: You have a system consisting of 2 masses of 3 kg and 6 kg which are 3 meters apart. Where is the…
A:
Q: ad the position of the center of mass of the system of the sun and Jupiter. Does the center of ss…
A: Center of mass =(m1 x1 +m2 x2 )/m1 +m2
Q: Show that the center of mass of the following hexagon is at the origin. 1.0 0.5 0.0 -0.5 60° 60° 60°…
A: 1. First consider all the masses the same 2. Find the coordinates of all the masses using the values…
Q: In Jule Verne's 1865 story with this title, three men went to the moon in a shell fired from a giant…
A:
Q: Calculate the magnitude of the linear momentum p0 of a 43.7 kg object on the Equator, as measured…
A: We use the concepts of linear momentum and vector addition.
Q: • P9 Relative to an origin at the center of the Earth, where is the center of mass of the Earth-Moon…
A:
Q: Find the x center of mass of the following masses at their respective coordinates: m1=1.5,…
A: solution as
Q: What will be the path of the center of mass of a baseball bat if we throw it as a projectile? a…
A: When a particle makes a projectile motion, the particle(i.e its centre of mass) follows a parabolic…
Two bodies of masses 5kg and 15kg are located in the cartesian plane at (1,0) and (0,1). What is the location of their centre of mass?
a) 1/4, 1/4
b) 3/4, 3/4
c) 3/4, 1/4
d) 1/4, 3/4
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Find the y center of mass of the following masses at their respective coordinates: m1=5.0, x1=-4.4,y1=-4.8 m2=3.0, x2=5.0,y2=4.6 m3=2.5, x3=-4.2,y3=-1.0 y_com=?Calculate the magnitude of the linear momentum for the following cases (a) a proton with mass 1.67 x 10 kg m/s kg, moving with a speed of 4.35 x 100 m/sA space vehicle is traveling at 3840 km/h relative to Earth when the exhausted rocket motor is disengaged and sent backward. The relative speed between the motor and the command module is then 94 km/h. The mass of the motor is four times the mass of the module. What is the speed of the command module relative to Earth just after the separation? Number i Units
- 1). A 2500 kg asteroid is traveling through empty space at 340 m/s. The asteroid explodes into two pieces. The 1900 kg piece continues in the same direction at 570 m/s. What is the velocity of the 600 kg piece (both magnitude and direction)? 2.) What is the change in kinetic energy for the system?Find the y center of mass of the following masses at their respective coordinates: m1=5.0, x1=3.0,y1=3.0 m2=3.0, x2=-1.2,y2=-1.2 m3=2.5, x3=-2.8,y3=4.8 y_com=?Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm. Thedistance of the centre of mass from the origin is -(1) 45 cm (2) 50 cm (3) 30 cm (4) 40 cm
- kg, 4. (a) The masses of the Earth and the Moon are 5.98 × 1024 kg and 7.35 x 1022 respectively, and their centers are separated by 3.84 × 108 m. Where is the center of mass of this system located? (b) Consider two objects with masses mA = 35 kg and mp = 25 kg. They have velocities (in m/s) đA = 12î – 16j and õB of the center of mass of the system. -20î + 14j. Determine the velocityCalculate the increase in velocity (in m/s) of a 4810 kg space probe that expels 3210 kg of its mass at an exhaust velocity of 4.00 ✕ 103 m/s. You may assume the gravitational force is negligible at the probe's location. The answer is 4400 m/s given by the homework website I tried using the conservation of momentum and the conservation of kinetic energy but did not get the right answer.4. Object A, whose center is at (2.0m, 2.0m) has a mass of 40 kg. Object B has its center at (10m, 4.0m) and has a mass of 30 kg. What is the x component of their center of mass in m? a) 2.9 6. b) 5.4 B c) 6.1 4. d) 6.3 A e) 6.7 2 8. 10 12 x (m) 6. 2) (w)m)
- Find the x center of mass of the following masses at their respective coordinates: m1=2.5, x1=0.6,y1=-0.6 m2=3.5, x2=2.8,y2=3.8 m3=4.0, x3=-2.4,y3=-2.6 x_com=?Sphere A of mass 0.9 kg travels with an initial velocity vA =11 m/s as shown and strikes the 2.8-kg sphere B which travels with a velocity VB =6 m/s. If the coefficient of restitution is 0.4, determine the speed of sphere B after impact. Give your answer in m/s. VA VB A BProblem Two. A rod of length L = 2.0 m is placed on the x-axis from x = 0 to x = L. The rod has a mass density given by 2 = 2] 1+- x- where 2, = 2.0k. L' Find the location of the center of mass of the rod in meters. 4.) (A) 1.5 (B) 1.3 (С) 1.1 (D) 1.7 (E) 0.45 Consider if the rod is subjected to an applied force given by F = Aî +Bx²j , where A=10 N and B = 25 N2 . If the end of the rod at x = 0 is attached to a hinge, find the angular acceleration of the rod in rad/s². m 5.) (A) 0.68 (B) 0.92 (C) 0.26 (D) 0.34 (E) 0.45 Find the direction of the net torque vector acting on the rod. 6.) (A) +z (В) —х (C) +x (D) –z (E) -у