A gymnast jumps straight up, with her center of mass moving at 3.99 m/s as she leaves the ground. How high above this point is her center of mass at the following times? (Ignore the effects of air resistance, and assume the initial height of her center of mass is at y = 0.) t (s) y (m) 0.100   0.200   0.300   0.500

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 green toy car with 0.025-kg mass moves to the right at 0.30 m/s and has a head-on, elastic…

A:

Q: As shown in the figure, two children of m1 = 20 (kg) and m2= 74 (kg) are standing on both ends of a…

A: GivenMass of children,m1=20 kg, m2=74 kgMass of cart,M=50 kgLength of cart,L=12 mDistance moved by…

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: In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h = 2.9 m…

A: Given data: Height, h = 2.9m Mass of block 2, m2 = 2m1 Coefficient of kinetic friction, μk=0.2…

Q: Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at…

A: There are two types of quantities, namely Scalar and Vector. Scalar quantity only needs one value…

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

A:

Q: An unstable nucleus of mass 1.7 x 10-26 kg, initially at rest at the origin of a coordinate system,…

A: Use the conservation of momentum to solve for the velocity of the third particle.…

Q: A particle of mass m = 1.1 kg and initial velocity v0 = 13 m/s directly to the right, strikes an…

A: m=1.1 kgvo=13 m/sM=17.5 kgVo=0collision: inelasticv=4.5 m/sθ=59°we have to find V=?ϕ=?

Q: A particle of initial momentum 14 kg m/s strikes a vertical wall horizontally and bounces back with…

A: Given  Magnitude of Initial momentum =Pi =14 kg m/s   Magnitude of final momentum = Pf = 14 kg m/s…

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: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…

A:

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…

Q: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The…

A: Solution:The final relative velocity can be calculated using following steps:Given:

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 particle of mass m, collides with another stationary particle of mass M. If the particle m stops…

A:

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

A: The system would be in equilibrium when the net force acting on the system is equal to zero. m1=1.33…

Q: A fireworks rocket is moving at a speed of v = 44.0 m/s. The rocket suddenly breaks into two pieces…

A: From the laws of conservation of momentum in the y direction, the equation for the speed of the…

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

A:

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 car, A, with mass 1.1 x 10^3 kg and initial speed 18.0 m/s frontaly collides with a car, B, with…

A: mA=1.1×103 kgu1=18 msecmB=670.4 kgu2=-12.5 mseccoefficient of restitution e=Velocity of…

Q: Two manned satellites approach one another at a relative speed of 0.500m/s, intending to dock. The…

A: Velocity of 1st satellite is, v1=u1m1-m2m1+m2=0.500 m/s4500 kg-7500 kg4500 kg+7500 kg=-0.125 m/s…

Q: velocities before and after are given. The collision is 1.8 m/s 0.2 m/s 0.6 m/s 1.4 m/s 4 kg 6 kg 4…

A: Note :-  System means all bodies  which collides . P :- Momentum  K.E  :- Kinetic Energy  Va :-…

Q: A fireworks rocket is moving at a speed of v = 46.3 m/s. The rocket suddenly breaks into two pieces…

A: Given, A firework rocket is moving with speed v

Q: Nicholas, with a mass 82.0 kg, jumps vertically upward to a maximum height of 49.0 cm. With what…

A: The mass of Nicholas is m = 82.0 kg. The maximum vertical height of jump is h = 49.0 cm = 0.49 m.…

Q: A particle with mass mA = 3.00 kg is located at  rA = (2.50 i + 3.50 j) m, and a second particle of…

A: Given that:- Mass of A=3 kg  Mass of B=5kg

Q: Masses of m = 2 (kg) and m2 = 4 (kg), the directions of which are shown in the figure, collide…

A:

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

A: Given, Center of mass of system is at rest time, t=3.07 s masses, velocity equation of particles 1,2…

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

A:

Q: Three particles of masses m1 = 2.5 kg, m2 = 4.1 kg and m3 = 3.1kg are at the corners of an…

A:

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  h = 50 cm

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 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: 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: An experimental rocket sled weighs 5760 lb and is propelled by six rocket motors each with an…

A: The value of the time average R of the total aerodynamic and mechanical resistance is 513.59 lb

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: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The…

A: Law of conservation of momentum is,

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: A particle with mass ma = 3.00 kg is located at ra = (2.50 i+ 3.50 j) m, and a second particle of…

A:

Q: An ball bearing of mass m rolls along a horizontal rail at velocity vo and strikes a stationary ball…

A:

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: A man of mass m = 75 kg was initially sitting on one end of a small boat of length L = 3.5 m and…

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: Two manned satellites approach one another at a relative speed of 0.400 m/s, intending to dock. The…

A: Let u1 be velocity of first satellite and u2 be that of second satelliteAlso , given that masses…

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: 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.…