Two particles of masses m1 and m2 separated by a horizontal distance D are let go from the same height h at different times. Particle 1 starts at t = 0 , and particle 2 is let go at t = T . Find the vertical position of the center of mass at a time before the first particle strikes the ground. Assume no air resistance.

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 ,…

Q: Consider the length of the boat as the x-axis with the origin at its left end. The positions of the…

A: Given-The position of the person arexA=1 m,xB=2.5 m,xc=3 mThe three persons almost have the same…

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:

Q: In the figure, block 1 of mass m, slides from rest along a frictionless ramp from height h = 2.2 m…

A: Let the velocities of the masses m1 & m2 are respectively u1 & u2 before collision and v1…

Q: In the figure, block 1 of mass m, slides from rest along a frictionless ramp from height h = 2 m and…

A:

Q: In the figure, block 1 of mass m₁ slides from rest along a frictionless ramp from height h = 2.8 m…

A: Given : height = 2.8m mass of block1 =m1 mass of block 2 m2= 2m1 coefficient of kinetic fraction…

Q: Determine the coordinates where a fourth particle of mass m4 = 30gr will have to be placed in the…

A: m1 = 40 g Coordinates of m1 = (3,1) cm m2 = 20 g Coordinates of m2 = (−2,1) cm m3= 10 g Coordinates…

Q: Find the center of mass of a regular solid circular cone of height (b) dm

A:

Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

A: Given:                   Required: The velocity of the particle 4 at time t = 2.83 sec as all the…

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: In an experiment designed to determine the velocity of a bullet fired by a certain gun, a wooden…

A: M = 600 g  m = 5.75 g  height, h = 50 cm

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: Find the position of the center of mass of a system consisting of three particles with the same mass…

A: Q. Given that Equilateral triangle of sides l with three particles of same mass m at its corners

Q: Block 1, with mass m1 and speed 5.2 m/s, slides along an x axis on a frictionless floor and then…

A: a)The expression from conservation of momentum,

Q: Determine the coordinates in which a particle of mass m4 = 6gr must be placed so that the center of…

A:

Q: Where is the center of mass of a semicircular wire of radius R that is centered on the origin,…

A:

Q: In the figure, block 1 of mass m, slides from rest along a frictionless ramp from height h = 2.6 m…

A: First find velocity of block 1 at bottom. Then by applying conservation of momentum and using…

Q: In the figure, block 1 of mass my slides from rest along a frictionless ramp from height h = 2.1 m…

A:

Q: In the figure, block 1 of mass m slides from rest along a frictionless ramp from height h = 2.5 m…

A: first mass = m1second mass (m2) = 4 m1h = 2.5 m μk = 0.35stopping distance after collision = d

Q: Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and…

A: Since the cone is symmetrical about the x and y axis, the coordinates of center of mass along x and…

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: Two objects with masses m = 0.5 kg and m2 = 0.2 kg are located on a horizontal frictionless path,…

A:

Q: Suppose a flat piece of plastic of uniform density ρ is in the shape of a right triangle. The legs…

A: The center of mass of the triangle will be at the centroid. The equation for the x-coordinate of the…

Q: Two blocks of mass 3kg and 2kg are moving toward each other along a horizontal frictionless surface…

A:

Q: In the figure, block 1 of mass m, slides from rest along a frictionless ramp from height h 2.5 m and…

A: Given, Height=2.5m Kinetic friction=0.55

Q: A bullet of mass m = 0.500 [g] is fired horizontally with a speed v = 10.0 [m/s] into the bob of a…

A: The data provided is, 1. Mass of the bullet, m=0.500 g 2. Initial speed of the bullet, v=10 m/s 3.…

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: At time t= 0, force F1 = (-6.31i + 6.70j) N acts on an initially stationary particle of mass 3.21 ×…

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: In sample Prob. 9.03, if a forth particle of mass 1 kg is experiencing a force of magnitude F4 = -2j…

A: Given data: The fourth force is F4=-2 N. Mass of fourth particle is m=1 kg.

Q: Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p…

A: Given data:    ρx,y,z=ky  9x+9y+5z=45,  x=0 y=0  z=0

Q: A 70-kg fisherman in a 120-kg boat throws a package of mass m = 15 kg horizontally toward the right…

A:

Q: Determine the coordinates in which a particle of mass m4 = 6g must be placed so that the center of…

A:

Q: In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h = 2.4 m…

A:

Q: A bullet of mass m=0.500 [g] is fired horizontally with a speed v=10.0 [m/s] into the bob of a…

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: 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: If the center of mass of three objects in the xy-plane is given by the location (3 cm, 4 cm) and two…

A:

Q: . The fisherman's mass is 79 kg, and the boat's is 126 kg. The fisherman and boat are initially at…

A: According to conservation of momentum,Initial momentum = final momentum

Q: A gymnast jumps straight up, with her center of mass moving at 3.24 m/s as she leaves the ground.…

A: Initial velocity (u) = 3.24 m/s Initial position of center of mass = 0 m

Q: Find the x-coordinate of the center of mass of the right triangle-shaped plate whose perpendicular…

A: Answer  option(a) 2a/3

Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

A: If no external force acts on a system of particles and its center of mass is at rest initially, it…

Q: 0.2 kg are located on a horizontal frictionless path, which has a lower and a higher part with…

A:

Q: A bullet of mass m = 0. 500 [g] is fired horizontally with a speed v = 10.0 [m/s] into the bob of a…

A: When there is no external force acting on the system, the momentum remains conserved. The momentum…

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 system of four particles moves along one dimension. The center of mass of the system is at rest,…

A:

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.…