John's mass is 88.0 kg, and Barbara's is 60.3 kg. He is standing on the x axis at xj = +9.10 m, while she is standing on the x axis at xB = +3.17 m. They switch positions. How far and in which direction does their center of mass move as a result of the switch? Distance moved by center of mass =
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- Example B: Three people stand around not doing their physics homework as shown below. Find the distance of the center of mass of the 3 person system from leftmost person. M₁= 70 kg 4 m M₂=60 kg 6 m M₂= 82 kgThe upper mass is moving to the right with an initial velocity of 3 m/s. How far will mass A move before the system comes to rest if the coefficient of kinetic friction is 0.5. Set g=10m/s2. mass A=10 kg, mass B=5 kgImagine you are ice skating with your best friend. Both of you are at rest when you shove him/her away from you. You have a mass of 55 kg and he/she has a mass of 45 kg. When you shove off, you move away with a velocity of 2.0 m/s. With what velocity does your best friend move away from you?
- Question 1 During a rugby game two players are running toward each other. One has a mass of 78.8 kg and the other has a mass of 58.1 kg. The player who has the bigger mass is running at 1.60 m/s and the other is running at 4.60 m/s. They hit each other, fall to the ground and slide while attached to each other. If the coefficient of kinetic friction between the players and the ground is 0.300, how far did they slide?John's mass is 94.7 kg, and Barbara's is 54.8 kg. He is standing on the x axis at xj = +9.14 m, while she is standing on the x axis at x³ = +2.05 m. They switch positions. How far and in which direction does their center of mass move as a result of the switch? Distance moved by center of mass = iFind the center of mass of the point masses along the x-axis. Draw your illustration. m1= 15 kg, m2= 20 kg, m3= 50 kg x1 = 6m, x2 = 8m, x3 = 10m
- A block of mass m1 = 13.5 kg slides along a horizontal surface (with friction, μk = 0.31) a distance d = 2.3 m before striking a second block of mass m2 = 8.5 kg. The first block has an initial velocity of v = 9.5 m/s. a)Assuming that block one stops after it collides with block two, what is block two's velocity after impact in m/s? b) How far does block two travel, d2 in meters, before coming to rest after the collision?A man with mass m1 = 51 kg stands at the left end of a uniform boat with mass m2 = 168 kg and a length L = 3.3 m. Let the origin of our coordinate system be the man’s original location as shown in the drawing. Assume there is no friction or drag between the boat and water. 1) If the man now walks to the right edge of the boat, what is the location of the center of mass of the system? 2) After walking to the right edge of the boat, how far has the man moved from his original location? (What is his new location?) 3) After the man walks to the right edge of the boat, what is the new location the center of the boat? 4) Now the man walks to the very center of the boat. At what location does the man end up?A child of mass 30kg swings at the end of an elastic cord. At the bottom of the swing, the child's velocity is horizontal, and the speed is 9.8m/s. At this instant, the cord is 5.85m long. A) at this instant what is the magnitude of the rate of change of the child's momentum? B) at this instant what is the net force acting on the child? C) what is the magnitude of the force that the elastic cord exerts on the child? D) the relaxed length of the elastic cord is 5.78m. What is the stiffness of the cord?
- rigid body staticsare initially at rest. Each experiences an external force, with The three particles in Figure their directions as indicated, and the magnitudes are F1 = 6.0 N, F2=14 N and F3 = 6.0 N. In what direction 0 does the center of mass move? The angle 0 is measured counterclockwise from the +x axis. 3 4.0 kg 2 -3 -2 -1 1 2 3 4 5 -1 4.0 kg -2 4.0 kg F2 -3 A) 37° B) 21º C) 330° D) 110° E) 290°Determine location of the center of mass of steel sheet that is shaped as shown below. Give your answer in the form (xCM; YCM), where xCM and ycm are in cm, to one decimal place. у (ст) 3L 2L IL x (cm) IL 2L 3L