1. Two bodies of masses 0.5 kg and 1 kg are lying in the X-Y-plane at points (-1, 2) and (3, 4) respectively. Locate the centre of mass of the system.
Q: How can you increase the linear momentum of something? A A. Increase its mass. B B. Increase its…
A: According to question we need to define linear momentum.
Q: Gm,m; Two masses, m, and m2 are separated by a distance, r. The force of between the two masses is…
A:
Q: Q2: Sphere A collides with B as shown. If the coefficient of restitution is e = 0.5, determine the…
A: Given : Mass of sphere - A, mA = 6 kg Mass of sphere - B, mB = 3 kg Initial velocity of…
Q: An astronaut in her space suit has a total mass of m1 = 90.0 kg, including suit and oxygen tank. Her…
A: (a) Mass of the astronaut m1 = 90 -12 = 78 kg Mass of the Oxygen cylinder, m2 = 12 kg Forward…
Q: 4)A large Mass mA = 2.50 kg travelling at 25.0 m/s crashes head-on into a smaller mass m which is…
A: a) Collisions conserve momentum mAvA+mBvB=mAv'A+mBv'B Substitute 2.50 kg×25.0 ms+7.50 kg×0 ms=-2.50…
Q: 3) Find the center of mass of a uniform right circular cone with mass M, height H and radius R with…
A: As given in figure a right circular cone has been drawn, in this figure we draw a small slice of…
Q: A 60.0-kg astronaut is in space, far from any objects that would exert a significant gravitational…
A:
Q: A 10.0-kg mass is located at (2.00 m)² + (3.00 m). A 15.0-kg mass is located at (4.00 m)². A 25-kg…
A: Position of center of mass r̅cm =(m1 r1̅ +m2r̅2+m3r̅3)/(m1+m2 +m3)
Q: The center of mass (or center of gravity) of a two-particle system is at the origin. One particle is…
A: Center of mass lies on Origin (0,0) m1=2Kg m2=3Kg
Q: A 54.0-kg astronaut is in space, far from any objects that would exert a significant gravitational…
A: According to our policy, we are answering only 1st question. Please repost the other questions…
Q: A satellite launch vehicle travelling at 1000 m s −1 uses a controlled explosion to release its…
A: Given: Initial velocityof of launch vehicle, u=1000 m/s mass of empty launch vehicle, m=7500 kg mass…
Q: How can you increase the linear momentum of something? (A) A. Increase its mass. B B. Increase its…
A: Linear momentum is given by P=m×v where, m= mass v= velocity
Q: 21. Two spacecrafts from different nations have linked in space and are coasting with their engines…
A:
Q: Two bodies of masses m1 and m2 are both moving east with speeds of magnitude v1 to v2, where v1 is…
A: Given: The velocity of mass m1 is v1. The velocity of mass m2 is v2. Introduction: The velocity at…
Q: Three objects lie along the -axis. A 3.00 kg object is at the origin, a 2.00 kg object is at z =…
A:
Q: In the slingshot effect, the transfer of energy in an elastic collision is used to power a space…
A: Given data: Speed of the probe towards the Saturn, Speed of the Saturn towards the probe,
Q: 10. Find the center of mass of a thin plate of constant density & covering the region bounded by the…
A:
Q: Question 7 Three spherical masses are held separated, as shown below. Their masses are: ma = 2.4 x…
A: mA = 2.4 x 103 kg mB = 4.1 x 103 kg mC = 3.7 x 103 kg G = 6.67 x 10-11 N.m2/kg2 rAC = 10 cm = 0.1 m…
Q: Find the center of mass of a rod of length L whose mass density changes from one end to the other…
A:
Q: 1. A uniform meter stick has a mass m1 = 10.0 kg placed at 100.0 cm mark and another mass m2 = 20.0…
A:
Q: In another dream, you find yourself in the middle of outer space with your best friend and his evil…
A: Answer :The evil twin can be determined by observing the speeds of my friend and his evil twin when…
Q: 2) In a game of curling, a collision occurs between two stones of equal mass. The object stone is…
A: Given data: The velocity of the ball v1=0.56 m/s The velocity of the object v2=0.42 m/s Angle ϕ=30°
Q: A 62.0-kg astronaut is in space, far from any objects that would exert a significant gravitational…
A:
Q: 6. The Merlin rocket engines developed by SpaceX can produce 7.95 x 105 N of instantaneous thrust…
A: We have a rocket that can produce an instantaneous thrust of F=7.95*105N with an exhaust speed of…
Q: Q2-A-Three masses are placed on the x-axis :100g at x-0;200g at x=20cm ;and 400g at x=70cm.…
A:
Q: At the same instant that a 0.50 kg ball is dropped from a distance of 25 m above the ground, a…
A:
Q: 59) Two astronauts, of masses 60 kg and 80 kg, are initially right next to each other and at rest in…
A: Given data The mass of one astronaut is m1 = 60 kg. The mass of another astronaut is m2 = 80 kg. The…
Q: 45. Four identical railway trucks, each of mass m, are coupled together and are at rest on a smooth…
A:
Q: A marksman standing on a motionless railroad car fires a into the air at an angle of 30.0° from the…
A:
Q: A rocket has initial mass of 25x10 kg of which 80 percent is the Q) fuel and the rest is payload. If…
A:
Q: 6. Two children float motionlessly in a space station. The 20-kg girl pushes on the 40-kg boy and he…
A: Given: The mass of the girl is 20 kg. The mass of the boy is 40 kg. The final velocity of the boy is…
Q: A 56.0-kg astronaut is in space, far from any objects that would exert a significant gravitational…
A: Total momentrum of is sum of individual momentum of all objects. pnet=p1+p2+p3+p4+p5 Given: Mass of…
Q: 2- Two couples act on the frame. If the resultant couple moment is to be zero, determine the…
A: In this problem, the distance d is calculated by taking moment equilibrium about point A.
Q: At a time when mining asteroids has become feasible, astronauts have connected a line between their…
A:
Q: you were told that the girl's mass was three-fourths that of the boy's mass. The boy has a velocity…
A: Consider the mass of boy is m and the mass of the girl is then 3m/4 Consider the initial velocity of…
Q: 16) A rocket of initial mass 1000 kg adjusts its thrust by varying the rate of mass ejection. The…
A: Given : Initial mass of a rocket (mo) = 1000 kg Ejection speed (v) = 40 km/s = 40 x 103 m/s…
Q: 1-An object of mass m was thrown from a height h at a place where the gravitational acceleration is…
A: Change in momentum depends on:- 1.Acceleration due to gravity(g) 2.Mass of the body(m) 3.Height(h)
Q: 2. Three masses are placed on a plane such that the coordinates of the masses are, m1 = 1.0 kg at…
A: Mass of first particle = m1 = 1.0 kg Coordinates of first particle = (x1,y1) = (1,0) Mass of second…
Q: 8. o The space probe Deep Space 1 was launched on October 24, 1998. Its mass was 474 kg. The goal of…
A: Given: The mass of the space probe is 474 kg. The thrust force of the space probe is 56 mN. The…
Q: A rocket is fired in a gravity-free environment in deep space. The rocket has an initial mass of…
A:
Q: 62. Two ice skaters, with masses of 50 kg and 75 kg, are at the INT center of a 60-m-diameter…
A: While pushing against of both skater, there is no any force on that due to this reject the friction…
Q: 27. Two bodies A and B having masses m and M respectively possess same momenta. Given that M>m. IF…
A: Given that PA=PB mass of A=m mass of B=M M>m then kinetic energy will be
Q: My sister Crystal of mass M1=50kg is on an ice covered sidewalk with her dog Buster, who has mass…
A:
Q: Where does the centre of mass of two particles of an equal mass lie? a) Inside the body b) Outside…
A: Center of mass: Centre of mass is defined as a point where the mass of the body (whole) of the…
Q: Squids are the fastest marine invertebrates, using a powerful set of muscles to take in and then…
A:
Q: Q2: Sphere A collides with B as shown. If the coefficient of restitution is e = 0.5, determine the…
A: Data given- VA = 2.5 m/s VB = 14 m/s mA = 8 kg mB = 2 kg e = 0.5
Step by step
Solved in 2 steps with 2 images
- In Chapter 5 we will define the center of mass of an object The center of mass moves with constant acceleration when constant forces act on the object A gymnast jumps straight up, with her center of mass moving at 2.80 m/s as she leaves the ground. How high above this point is her center of mass (a) 0.100 s, (b) 0.200 s, (c) 0.300 s, and (d) 0.500 s thereafter?In Chapter 9, we will define the center of mass of an object and prove that its motion is described by the particle under constant acceleration model when constant forces act on the object. A gymnast jumps straight up, with her center of mass moving at 2.80 m/s as she leaves the ground. How high above this point is her center of mass (a) 0.100 s, (b) 0.200 s, (c) 0.300 s. and (d) 0.500 s thereafter?An astronaut in her space suit has a total mass of 87.0 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while shes on a spacewalk. Initially at rest with respect to her spacecraft, she throws her 12.0-kg oxygen tank away from her spacecraft with a speed of 8.00 m/s to propel herself back toward it (Fig. P6.29). (a) Determine the maximum distance she can be from the craft and still return within 2.00 min (the amount of time the air in her helmet remains breathable), (b) Explain in terms of Newtons laws of motion why this strategy works. Figure P6.29
- We watch two identical astronomical bodies A and B, each of mass m, fall toward each other from rest because of the gravitational force on each from the other. Their initial center-to-center separation is Ri. Assume that we are in an inertial reference frame that is stationary with respect to the center of mass of this twobody system. Use the principle of conservation of mechanical energy (Kf + Uf = Ki + Ui) to find the following when the centerto- center separation is 0.5Ri : (a) the total kinetic energy of the system, (b) the kinetic energy of each body, (c) the speed of each body relative to us, and (d) the speed of body B relative to body A. Next assume that we are in a reference frame attached to body A (we ride on the body). Now we see body B fall from rest toward us. From this reference frame, again use Kf + Uf = Ki + Ui to find the following when the center-to-center separation is 0.5Ri : (e) the kinetic energy of body B and (f) the speed of body B relative to body A. (g) Why…17) Two bodies of masses m1 and m2 are both moving east with speeds of magnitude v1 to v2, where v1 is less than v2. The magnitude of the velocity of the center of mass of the System of the two bodies is Answers: a) smaller than v1 b) equal to v1 c) equal to the average of v1 and v2 d) smaller than v1 and smaller than v2 e) greater than v21a) A light, inextensible cord passes over alight, frictionless pulley with aradius of 9:5cm. It has a(n) 19 kg mass on theleft and a(n) 7:7 kg mass on the right, bothhanging freely. Initially their center of massesare a vertical distance 2:4 m apart. The acceleration of gravity is9:8m=s2 : At what rate are the two massesaccelerat- ing when they pass each other?Answer in units of m=s2. b) What is the tension in the cordwhen they pass each other? Answer in unitsof N.
- A system consists of three masses that are placed on a horizontal plane or x-axis. 1 kg at the origin, 2 kg at position x = 5 cm, and another 2kg at position x = 10 cm. Find the distance of the centre of mass of the system from the origin.Mass MAMAM_A = 33 kg and massMB= 30 kg, They have velocities (in m/s) ,v→A = 12 i^ - 20 j^ and v→B = - 20 i^ + 13 j^. Part A Determine the velocity of the center of mass of the system.1.A 54.0-kg astronaut is in space, far from any objects that would exert a significant gravitational force on him. He would like to move toward his spaceship, but his jet pack is not functioning. He throws a 0.720-kg socket wrench with a velocity of 5.00 m/s in a direction away from the ship. After 0.500 s, he throws a 0.800-kg spanner in the same direction with a speed of 8.00 m/s. After another 9.90 s, he throws a mallet with a speed of 6.00 m/s in the same direction. The mallet has a mass of 1.20 kg. How fast is the astronaut moving after he throws the mallet?(assume all speeds are relative to the spaceship). in m/s 2. In a circus trapeze act, two acrobats fly through the air and grab on to each other, then together grab a swinging bar. One acrobat, with a mass of 46.0 kg, is moving at 3.00 m/s at an angle of 10.0° above the + x axis, and the other, with a mass of 82.0 kg, is approaching her with a speed of 2.00 m/s at an angle of 20.0° above the −x axis. A) What is the speed of…
- Three objects are situated along the x axis as follows: a 1.5.00-kg object is located at -2.00 m, a 2.00-kg object is at 5 0 m, a 3-kg object is at the origin. Where is the center of mass of these objects?16) A rocket of initial mass 1000 kg adjusts its thrust by varying the rate of mass ejection. The ejection speed relative to the rocket is 40 km / s. If the acceleration of the rocket must have a magnitude of 20 m / s2 at an instant when its mass is 80% of the original mass, at what rate is it being ejected at this instant? Ignore any forces external to the rocket. Answers: a) 0.40 kg/s b) 0.50 kg/s c) 0.60 kg/s d) 0.70 kg/s e) 0.80 kg/s69 . Find the center of mass of a rod of length L whose mass density changes from one end to the other quadratically. That is, if the rod is laid out along the x-axis with one end at the origin and the other end at x=L, the density is given by ρ(x)=ρ0+(ρ1−ρ0)(xL)2, where ρ0ρ0 and ρ1ρ1 are constant values.