Two sprinters leave the starting gate at the same time at the beginning of a straight track. The masses of the two sprinters are 58.5 kg and 66.5 kg. A few seconds later, the first sprinter is ahead of the second by a distance 5.1 m. How far ahead of the second sprinter is the center of mass of these two sprinters, in meters? If the speeds of the sprinters are 4.9 m/s and 2.2 m/s, respectively, how fast, in meters per second, is the center of mass moving? What is the momentum of the center of mass, in kilogram meters per second? How is the momentum of the center of mass related to the total momentum of the sprinters?

Q: The vector position of a 4.00 g particle moving in the xy plane varies in time according to r, = (3î…

A:

Q: Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact…

A: According to the principle of conservation of momentum, the total momentum of the system must be…

Q: Two young children face each other standing on roller skates. If the first child (mass of 40kg)…

A: Given data: Mass of the first child is m1=40 kg The velocity of the first child to push off the…

Q: Four objects are situated along the y axis as follows: a 1.91-kg object is at +3.08 m, a 2.98-kg…

A: Step 1:Step 2:

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: Assume m₁ = 1 kg. m₂ = 3 kg, and x₁ = 1 m, x2 = 5 m, where is the center of mass of these two…

A:

Q: 10 kg weight starts at rest and then pushed rightly by a force of 59 N for 8 s on a horizontal,…

A:

Q: Find the center of mass of the given system of point masses lying on the x-axis. m, = 6, m, = 3, m,…

A: Given data, m1=6m2=3m3=6x1=-5x2=0x3=3 We know, x¯=Momx¯=m1x1+m2x2+m3x3m1+m2+m3x¯ = 6(-5) + 3(0) +…

Q: Don't use chat gpt

A: Approach to solving the question: The center of mass represents the average position of all the mass…

Q: Q#1. Three cubes of side lo, 270, and 370, are placed next to another (in contact) with their…

A: The objective of the question is to find the position of the center of mass of the system of three…

Q: Two cars of equal mass are approaching an intersection. One of the cars moves east at 13 m/s, the…

A:

Q: the following figure shows three bodies m1= 3kg m2= 4kg m3= 8kg the scale of the axis is x = 2m and…

A:

Q: Four objects are situated along the y axis as follows: a 2.08-kg object is at +3.10 m, a 3.10-kg…

A: mass of first object = 2.08 kg position of first object = 3.10 m on y aixs mass of second object =…

Q: Note: Take East as the positive direction. A(n) 88 kg fisherman jumps from a dock into a 132 kg…

A: Given : m = 88 kg M = 132 kg v = 4.5 m/s

Q: Find the center of mass of a thin wire of mass m and length L bent in a semicircular shape. Let the…

A:

Q: Four objects are situated along the y axis as follows: a 1.97-kg object is at +2.93 m, a 2.95-kg…

A: Given that, the masses of four objects are m1=1.97kg                        m2=2.95kgm3=2.42kg…

Q: Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact…

A: From conservation of momentum, find the final velocity of the car and the truck

Q: When the Moon's phase is a "quarter Moon," the Earth, the Moon, and the Sun are at the vertices of a…

A: Part (a): At the phase of quarter moon The given system can be shown as, The point S represents the…

Q: Two trucks of equal mass behave like rigid bodies . If a head-on collision between the two trucks is…

A: An elastic collision is the kind of collision in which the linear momentum as well as the total…

Q: A 930-kg sports car collides into the rear end of a 2200-kg SUV stopped at a red light. The bumpers…

A: The work done stop the car is equal to the kinetic energy(Ek ) The work done…

Q: A stone is dropped at t = 0.  A second stone, with twice as much mass is dropped 0.10 second later.…

A: The mass of the first stone is given as, m1 = m The mass of the second stone is given as, m2 = 2m…

Q: Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact…

A: Given Data: Collision is perfectly in-elastic and head-on.

Q: Four objects are situated along the y axis as follows: a 1.92-kg object is at +2.97 m, a 3.06-kg…

A: FINAL ANSWER:      X-component of the centre of mass is =0m     Y-component of the centre of mass is…

Q: A block of mass m1 = 17.5 kg slides along a horizontal surface (with friction, μk = 0.23) a distance…

A: Given: The mass of the first block is 17.5 kg. The mass of the second block is 9.5 kg. The distance…

Q: Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact…

A: As the collision is perfectly inelastic, so both objects stick together after the collision.…

Q: Example B: Three people stand around not doing their physics homework as shown below. Find the…

A:

Q: The figure shows an overhead view of three identical particles on which external forces act. The…

A: (a) The magnitude and direction of the force on the third particle if the center of mass of three…

Q: Find the x center of mass of the following masses at their respective coordinates: m1=1.5,…

A: solution as

Q: Two cars are driving in the same direction separated by 220 m. The car in front has a mass of 1500…

A: Given that, Two cars are driving in the same direction separated by 220 m. The car in front has a…

Q: Find the center of mass of the three-mass system shown in the figure relative to the mass m = 1.47…

A:

Q: Find the center of mass of the given system of point masses lying on the x-axis. m, = 0.2, m, = 0.2,…

A: Given that---- m1 = 0.2 , m2 = 0.2 , m3 = 0.3 , m3 = 0.2 x1 = 1 , x2 = 2 , x3 = 3 , x4 = 4 Question…

Q: Find the center of mass of the point masses along the x-axis. Draw your illustration. m1= 15 kg,…

A: Given: m1=15 kg, m2=20 kg, m3=50 kgx1=6 m, x2=8 m, x3=10 m

Q: Highway safety engineers want to design roadside barriers that will crumple in the event that a car…

A:

Q: Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact…

A: Given that the drivers of equal masses(m=73kg) are moving with opposite velocities, one in 800kg and…

Q: Find the y center of mass of the following masses at their respective coordinates: m1=5.0,…

A: Given:

Q: Individual masses on a line Sketch the following system on a number line and find the location of…

A: Given,  m1 = 8 kg located at x = 2 m;  m2 = 4 kg located at x = -4 m; m3 = 1 kg located at x = 0 m…

Q: Car A of mass of 1120 kg hits Car B of mass 1420-kg at rest. The two cars lock together and skid…

A: