at the instant a 2 kg particle has a velocity of 4ms in the positive x-direction, a 3kg particle has a velocity of 5ms in the positive y-direction. what is the speed of the centre of mass of the two-particle system ?

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

A:

Q: At one instant, the center of mass of a system of two particles is located on the x-axis at 2.0 m…

A:

Q: A 3.50 kg particle has the xy coordinates (-1.20 m, 0.500 m) and a 6.00 kg particle has the xy…

A: Given data:             Masses are:   m1= 3.5 kg , m2= 6.0 kg, m3= 3.50 kg          Co-ordinates…

Q: Three objects are situated along the x axis as follows: a 1.5.00-kg object is located at -2.00 m, a…

A: m1 = 1.5 kg x1 = -2 m m2 = 2 kg x2 = 1.5m m3 = 3 kg x3 = 0m

Q: You are holding a basketball and standing at rest on top of a skateboard. If you throw the…

A: Initially, as both the person and the basketball were at rest, so the initial momentum of the system…

Q: During hockey practice, two pucks are sliding across the ice in the same direction. At one instant,…

A: mass of  first puck = m1= 0.18 kg mass of  second puck = m2= 0.14 kg initial velocity of puck 1 =…

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…

Q: Three objects are situated along the x axis as follows: a 1.5.00-kg object is located at -2.00 m, a…

A: first mass = 1.5 kg location of first mass = -2 m second mass = 2 kg location of second mass = 5 m…

Q: Object A of mass M has an original velocity of 7.20 m/s in the +x-direction toward a stationary…

A: The answer is below

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: The center of mass of a system of particles has a constant velocity if?

A: The velocity and acceleration of a center of mass can be expressed as.

Q: Object A of mass M has an original velocity of 6.00 m/s in the +x-direction toward a stationary…

A:

Q: Find the mass and center of mass of the solid E with the given density p. E is the cube 0sxs a,…

A:

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: 2.00 kg object at + 3.00 meters, 3.00 kg object at +2.50 meters, 2.50 kg object at its origin and…

A: Center of mass = ?

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…

A:

Q: During a spacewalk, a 118 kg astronaut (including her spacesuit) is at rest and holding a 3.5 kg…

A: Consider the mass of astronaut be m1, the mass of the wrench be m2, the initial speed of the…

Q: Four objects are situated along the y axis as follows: a 1.91-kg object is at +2.92 m, a 2.94-kg…

A:

Q: A system consists of four particles located as shown. Find the x and y coordinates of the center of…

A:

Q: Four objects are situated along the y axis as follows: 5.8 kg object is at +30 m, 21.9 kg object is…

A: Given values: Masses and respective y-co-ordinates, m1=5.8 kg, y1=30 mm2=21.9 kg, y2=25 mm3=19.4…

Q: Determine the location of the center of mass of the system shown in the figure. 0.2 m 0.2 m 2 kg 3…

A:

Q: The vector position of a 3.30 g particle moving in the xy plane varies in time according to r. = (31…

A: Given:  m1 = 3.3 g   r1 ⇀ = 3 t i^ +3 t + 2 t 2 j^     ⇒ v1 ⇀=dr1 ⇀dt = 3 i^ +3+ 4 t  j^     ⇒ a1…

Q: A 2.50 kg particle has the xy coordinates (-1.20 m, 0.500 m) and a 5.50 kg particle has the xy…

A: Given, A particle having mass m1=2.5 kg has coordinate x1,y1=-1.20m,0.500m A particle having mass…

Q: Four objects are situated along the y axis as follows: a 1.94-kg object is at +3.01 m, a 3.06-kg…

A: The mass of the objects 1.94kg at +3.01m,                                              3.06kg at…

Q: At the instant a 2.0-kg particle has a velocity of 4.0 m/s in thepositive x direction, a 3.0-kg…

A: x-coordinate of speed of centre of mass will be,

Q: A uniform square plate 6.6 m on a side has had a square piece 5.0 m on a side cut out of it. The…

A: Let λ be the mass per unit area. Consider complete square as c, little square as l, and remaining…

Q: An old Chrysler with mass 2400 kg is moving along a straight stretch of road at 80 km/h. It is…

A:

Q: A 2.00 kg particle has the ry coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the ry…

A: Answer            (-0.1m , 0.7667m)

Q: B0 kg particle has the xy coordinates (-1.39 m, 0.366 m), and a 2.68 kg particle has the xy…

A: position of center of mass rcm = (m1 r1 +m2 r2 )/(m1 + m2 )

Q: A four-wheel cart of mass M = 95 kg is moving along a horizontal surface with a constant velocity V…

A:

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…

Q: In an elastic collision, a 400-kg bumper car collides directly from behind with a second, identical…

A:

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: 1. Calculate the location of center of mass of the system of 4 point masses as shown in the Figure.…

A:

Q: A 2.00 kg particle has the xy coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the xy…

A:

Q: Four objects are situated along the y axis as follows: a 2.00-kg object is at +3.00 m, a 3.00-kg…

A:

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…

A:

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: Given: The mass of the first particle is 5.00 kg. The coordinates are (1.20 m, 2.00 m). The mass of…

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: Problem-1: Three particles of masses m, = 1.2 kg, m2 = triangle of edge length a = 2.5 kg, and m3…

A: Given: The position of the particle with mass 1.2 kg 0 cm, 0 cm. The position of the particle with…

Q: A system has a 1.5 kg particle at the origin.  The other particle has a mass of 2.5 kg and is…

A: The center of mass of a system of particles is defined as the point at which the whole mass of the…

Q: 2. Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in…

A: (given) m1=8 kgm2=7.50 kgM = 9 kgL = 3 mLocation of centre of mass is given byxcm =…

Q: In the figure below, m1 3kg, m2= 4kg, and m3 = 8kg, and the scales on the axes are set by xs = 2m…

A: In given figure m1=3 kg at x1=0 and y1=0m2=4 kg at x1=2 m and y1=1 mm3=8 kg at x1=1 m and y1=2 m x…

Q: A uniform piece of sheet metal is shaped as shown in the figure below. Compute the x and y…

A:

Q: A rod 2 meters long has a linear density of p(x) = 8 - 3x. How far, in meters, is the center of mass…

A: Given data ρx=8-3x

Q: Three particles have masses and position vectors as follows: Ul b M 1 = i+2}-3k 72 = 4i – j 73 = 3j+…

A: Given: masses are m1 = 3 kg, m2 = 1 kg and m3 = 5 kg r1 = i + 2j  - 3k r2 = 4i - j r3 = 3j + 4k

Q: At an instant when a particle of mass 50 g has an acceleration of 80 m/s in the positive x…

A: Given, m1 = 50 g m2 = 75 g