NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. At an amusement park there are 200-kg bumper cars A, B, and C that have riders with masses of 50 kg, 80 kg, and 40 kg respectively. Car A is moving to the right with a velocity VA = 2 m/s and car Chas a velocity vc=1.5 m/s to the left, but car B is initially at rest. The coefficient of restitution between each car is 0.8. Determine the final velocity of each car, after all impacts, assuming car A hits car B before car C does. Assume positive sign denoting forward motion and negative sign denoting backward motion. The velocity of car A, v A is The velocity of car B, v"" gis The velocity of car A, v"cis B m/s m/s m/s

You are sitting in a sled, at rest on a pond covered with nice, thick, frictionless ice. Your own mass is 82.3 kg, and the mass of the sled when empty is 20.8 kg. From shore, someone throws a baseball of mass 0.122 kg to you, and you catch it; the horizontal component of the ball s velocity is 29.4 m/s. What will be the sled s (and your) speed with respect to the surface of the pond after you catch the ball? 17.1 cm/s 2.08 cm/s 3.47 cm/s 4.35 cm/s

There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 2.8 kg and the mass ofparticle 2 is 1.96 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by:~F21(t) = Fat ˆi + Fbt3 ˆjThe initial time is ti = 4.1 s and the final time is tf = 6.8 s.Use the following values for the parameters:Fa = -18.4 N/s , Fb = 11.2 N/s3, If the y component of the impulse from 1 on 2 is -5196 N s, what is the y component of the change in momentum forparticle 2?

Find the center of mass of the structure about point A of the figure below. Assume a uniform thickness of 20 cm, and a uniform density of 2.0 g/cm³. sphere, radius = 8 cm 58 cm 3 cm 24 cm A 58 cm- 70 cm 6 cm 18 cm XCM = Enviar Respuesta Tries 0/100 усм = width .7 cm

A 76.1 kg astronaut of holding a 12.3 kg tool pack while drifting at 10.6 m/s to the right. She throws the tool pack away so that it is drifting at 1.5 m/s to the left. How fast is she moving after the throw? Assume that they are out in deep space with no other forces acting on them.

There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 4.1 kg and the mass ofparticle 2 is 4.51 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by: F21(t) = Fxe−(t/tx )ˆi + Fy sin(2πt/T)ˆj  The initial time is t = 0 s and the final time is t = 5.9 s The y-component of the impulse from 1 on 2 is: I12,y = 50.28 N s Fx = 17.4 N, Fy = -28.8 N, tx = 6.5 s, T = 60.7 s what is the x component of the impulse from 1 on 2? What is the y-component of the change in momentum for particle 1?   what is the y componentof the average force from 1 on 2

An amusement park features a set of light railcars, currently resting on a straight, level section of track. Each railcar has a mass of 18 kg. Ellen and her younger brother Tim are seated in two of these railcars, which are initially at rest with the rubber buffers just touching each other. Ellen's mass is 42 kg, while Tim's mass is 32 kg. Ellen pushes Tim's railcar so that it moves away with a speed of 3.0 m/s relative to the track. Assuming that the frictional forces on the railcars are small, how far the railcars will have travelled after 2.0 s?

Your answer is partially correct. Docking a Spaceship. You and your crew must dock your 2.75 x 104 kg spaceship at Spaceport Alpha, which is orbiting Mars. In the process, Alpha's control tower has requested that you ram another vessel, a freight ship of mass 1.80 × 104 kg, latch onto it, and use your combined momentum to bring it into dock. The freight ship is not moving with respect to the colossal Spaceport Alpha, which has a mass of 1.85 x 107 kg. Alpha's automated system that guides incoming spacecraft into dock requires that the incoming speed is less than 2.0 m/s. (a) Assuming a perfectly linear alignment of your ship's velocity vector with the freight ship (which is stationary with respect to Alpha) and Alpha's docking port, what must be your ship's speed (before colliding with the freight ship) in order that the combination of the freight ship and your ship arrive at Alpha's docking port with a speed of 1.65 m/s? (b) What will be the velocity of Spaceport Alpha when the…

Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 3.2 × 104 kg (about 32 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 23.0 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) 7₁ = m

Two ice skaters stand together as illustrated in Figure (a). They "push off" and travel directly away from each other, the boy with a velocity of v = +0.42 m/s. If the boy weighs 718 N and the girl 450 N, what is the girl's velocity after they push off? (Consider the ice to be frictionless.)