"A three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position co-ordinates for particle 1 are (3,3), for particle 2 are (2,1) and for particle What will be the y coordinate of the system s center of mass?" 1.86 1.28 2.22 The data is not enough to calculate the center of mass
Q: A 1.76 kg particle has the xy coordinates (-1.41 m, 0.619 m), and a 5.63 kg particle has the xy…
A: m1 = 1.76 kg r1 = (-1.41 , 0.619) m m2 = 5.63 kg r2 = (0.206 , -0.607) m m3 =3 kgrc.m= (-0.848 ,…
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Q: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy…
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Q: At one instant, the center of mass of a system of two particles is located on the x-axis at 2.0 m…
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Q: A system consists of four particles located as shown. Find the x and y coordinates of the center of…
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Q: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy…
A: Mass of particle 1, m1 = 5 kg Mass of particle 2, m2 = 6 kg Mass of particle 3, m3 = 4 kg…
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A: Solution-
Q: Suppose that m1 = 5.0 kg and x1 = 2.0 m, while m2 = 12.0 kg and x2 = 6.0 m, where is the center of…
A: The masses of the objects are: m1=5 kgm2=12 kg The center of mass of the objects are: x1=2 mx2=6 m
Q: "A three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position…
A: The center of mass is sum of product of individual mass and coordinates. The SI unit of center of…
Q: The figure shows a three-particle system, with masses m₁ = 1.4 kg, m2 = 2.2 kg, and m3 = 8.1 kg.…
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Q: Particle A has a mass of 4.700 g, particle B has a mass of 1.300 g. Particle A is located at the…
A: Write the given values with the suitable variables. mA=4.70 kgmB=1.30 kgxA,yA=0, 0xB,yB=25 cm, 0…
Q: A gymnast jumps straight up, with her center of mass moving at 3.99 m/s as she leaves the ground.…
A: Let us consider a gymnast who jumps straight up with her moving center of mass at an initial speed…
Q: y(cm) 4. m = 40 g т, 3D 20 g, m, =10 g, -2- 1 -2 2 X(cm) -1 -2- -3 3. 3. 5.
A: m1 = 40 gcoordinates of m1 = (3,1) cmm2 = 20 gcoordinates of m2 = (-2,1) cmm3 = 10 gcoordinates of…
Q: A 3.13 kg particle has the xy coordinates (-2.00 m, 0.205 m), and a 5.41 kg particle has the xy…
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Q: three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position…
A: The momentum of a body is defined as the product of the mass and the velocity of the body. If the…
Q: A 4.73 kg particle has the xy coordinates (-1.50 m, 0.794 m), and a 5.13 kg particle has the xy…
A: Given that m1 = 4.73kgAnd its coordinates are (x1,y1)=(-1.50m, 0.794m)m2 = 5.13kgAnd its coordinate…
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Q: A system consists of four particles located as shown. Find the x and y coordinates of the center of…
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Q: 5.0 kg. In FIGURE What are the coordinates of the center of mass of the system? у (m) the three…
A: Given data: The mass of particle one is m1 = 3 kg. The mass of particle two is m2 = 4 kg. The mass…
Q: Three objects are located in the xy- plane as shown in the figure. Determine the x coordinate of the…
A: Given : mA = 6 kg mB = 2 kg mc = 4 kg
Q: The x and y coordinates in meters of the center of mass of the three-particle system shown below…
A: Given, m1 = 4 kg at 0, 0m2 = 6 kg, at 1, 3m3 = 5 kg, at 2, 2
Q: "A three particle system with with masses: m1 = 8.0 Kg, m2 = 4.0 Kg and m3 = 3.0 Kg. The position…
A: Given data: Masses: m1=8.0 kg; m2=4.0 kg; m3=3.0 kg Position coordinates: x1,y1=5,5; x2,y2=2,1;…
Q: The figure shows a three-particle system, with masses m1 = 1.5 kg, m2 = 3.9 kg, and m3 = 6.4 kg.…
A: Given data: m1 = 1.5 kg, m2 = 3.9 kg and m3 = 6.4 kg
Q: One astronaut is 75kg, and another who is 3.4 m away in the x-direction is 85kg. How far from the…
A: The expression for the centre of mass for 2 objects in x-direction is…
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A: Given, mass of bullet, m = 10 g = 0.010 kg mass of ballistic pendulum, M = 2.75 kg maximum…
Q: A uniform piece of sheet metal is shaped as shown. Compute the x and y coordinates of the center of…
A: Explanation: σ is the mass per unit area. Mass of part 1 = 300 σ Mass of part 2 = 200 σ Mass of part…
Q: The figure shows a three-particle system, with masses m1 = 4.8 kg, m2 = 4.0 kg, and m3 = 6.9 kg.…
A: Given data: The masses are, m1=4.8 kgm2=4.0 kgm3=6.9 kg The coordinate of m1, m2, and m3 mass are,…
Q: A 1.29 kg particle has the xy coordinates (-1.25 m, 0.116 m), and a 5.32 kg particle has the xy…
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Q: A 1.29 kg particle has the xy coordinates (-1.25 m, O.116 m), and a 5.32 kg particle has the xy…
A: m1=1.29 kg is at -1.25 m, 0.116 mm2=5.32 kg is at 0.300 m, -0.345 mLet m3=2.97 kg is at x , yThe…
Q: A three-particle system, with masses m = 2.0 kg, m2 = 4.0 kg, and ma = 8.0 kg. The scales on the…
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Q: Q. At one instant, the center of mass of a system of two particles is located on the x-axis at Sm -…
A: Recall Xcm=(m1x1+m2x2)/(m1+m2)............(1)Given Xcm=2.0 m x1=0 m1=?…
Q: The three particles in Figure their directions as indicated, and the magnitudes are F1= 6.0 N, F2=14…
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Q: Which one of the following is the y-coordinate of the centre of mass from three homogeneous solid…
A: The x-coordinate of the centre of mass of a system of mass is given by XCM=∑i=1i=nmixi∑i=1i=nmi The…
Q: A system has a 1.5 kg particle at the origin. The other particle has a mass of 2.5 kg and is…
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Q: "A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position…
A: Given: A three-particle system has the masses (m1, m2, and m3) 5 Kg, 3 Kg, and 5 Kg respectively.…
Q: A 2.34 kg particle has the xy coordinates (-1.81 m, 0.340 m), and a 3.82 kg particle has the xy…
A: Given data- mass m1=2.34 kg, x1,y1=-1.81 m,0.340 m mass m2=3.82 kg, x2,y2=0.104 m,-0.143 m mass…
Q: The figure shows a three-particle system, with masses m1 = 4,8 kg, m2 = 4.0 kg, and m3 = 6.9 kg.…
A: Given data :- mass m1 = 4.8 kg located at (0,0) mass m2 = 4.0 kg located at (2,1) mass m3 = 6.9 kg…
Q: A bullet of mass m = 7.50 g is fired horizontally with a speed v = 549 m/s into a bob of a ballistic…
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Q: A bullet of mass m = 0.5 kg is fired horizontally with a speed v = 10 m/s into the bob of a…
A: Given: Mass of bullet mb = 0.5 kg Initial Speed of bullet vb = 10 ms Mass of pendulum mp = 0.5 kg.…
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- Three particles of masses m1 = 2.5 kg, m2 = 4.1 kg and m3 = 3.1kg are atthe corners of an equilateral triangle of side 100 cm. If the particle m1 is located at theorigin Find the center of mass of the whole system. and Write the position of the center in unit-vector notation.A 6 meter rod has a linear density of f(x) = ax + b, if one one end the linear density is 2kg/m and on the other end is 10kg/m, where is the center of mass?A 10 kg projectile was launched at the horizontal ground at a velocity of 20 m/s, 10 degrees with respect to the horizontal. The projectile hit a 30 kg box on top of a table at O. 177 seconds. If the box developed a speed of 5.140 rn/s after impact, what is the speed of the projectile after the collision?provide fbd
- In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2 = u1. If the initial kinetic energies of the two particles are equal, find the conditions on u1/u2 and m1/m2 such that m1 is at rest after the collision. Examine both cases for the sign of .A bullet, having a mass of 0.04 kg moving with a velocity of 450 m/s penetrates a distance of 0.08 m into a wooden block firmly attached to the earth. Assuming a constant accelerating force, compute the following: a) the acceleration of the bullet, b) the accelerating force, c) the time of acceleration, and d) the impulse of the collision.To keep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0 cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 70.0 kg person, the mass of the upper leg is 8.60 kg, while that of the lower leg (including the foot) is 5.25 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is (a) fully extended, and (b) bent at the knee to form a right angle with the upper leg.
- One of the first ion engines on a commercial satellite usedXenon as a propellant and could eject the ionized gas at a rateof 3.03 x 1026 kg/s with an exhaust speed of 3.04 x 104 m/s.What instantaneous thrust could the engine provide?A shooter of mass m 2 = 80 kg shoots a bullet of mass m 1 = 4 gram horizontally, standing on africtionless surface at rest. If the muzzle velocity of the bullet is v 1 = 500 m/s, what is the recoilspeed of the shooter?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
- Which one of the following is the y-coordinate of the centre of mass from three homogeneous solid spheres of masses 1 kg, 2 kg and 4 kg that are arranged with their centres at (2i + j + k) meters, (3i – 2 j + 2k) meters and (4i – j – 2k) meters respectively where i, j, and k are unit vectors in the x, y and z directionsA system of four particles moves along one dimension. The center of mass of the system is at rest, and the particles do not interact with any objects outside of the system. Find the velocity ?4v4 of particle 4 at ?1=3.07 st1=3.07 s given the details for the motion of particles 1, 2, and 3. particle 1:?1=1.33 kg,?1(?)=(6.97 m/s)+(0.321 m/s2)×?particle 1:m1=1.33 kg,v1(t)=(6.97 m/s)+(0.321 m/s2)×t particle 2:?2=3.53 kg,?2(?)=(8.27 m/s)+(0.315 m/s2)×?particle 2:m2=3.53 kg,v2(t)=(8.27 m/s)+(0.315 m/s2)×t particle 3:?3=3.89 kg,?3(?)=(7.43 m/s)+(0.447 m/s2)×?particle 3:m3=3.89 kg,v3(t)=(7.43 m/s)+(0.447 m/s2)×t particle 4:?4=4.55 kgA 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy coordi-nates (0.300 m, 0.750 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 4.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m, 0.900 m)?