Three dimensions. Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has mass mA. Particle B, at xyz coordinates (2.00d, 2.00d, 2.00d), has mass 4.00mA, and particle C, at coordinates (–3.00d, 2.00d, –3.00d), has mass 4.00mA. A fourth particle D, with mass 3.00mA, is to be placed near the other particles. If distance d = 4.20 m, at what (a) x, (b) y, and (c) z coordinate should D be placed so that the net gravitational force on A from B, C, and D is zero?

A rod with a mass of 5 kg and a length of 9 meters is at rest in space with its long side pointing in the y direction. Two 12 kg masses of clay hit the rod at the same time and with the same speed of 18 m/s. One was traveling in the x direction before hitting and sticking to the top of the rod, and the other was traveling in the -x direction before hitting and sticking to the bottom of the rod. What will the magnitude of the angular velocity of the rod be in radians per second?

A big boulder has a mass of 8.20t (metric tons) and rests at a coal mine site. The boulder is blown up with explosives into 3 parts, all the 3 parts move horizontally in the xy plane. The biggest part (mass 3.3 t) travels west at a speed of 3m/s. The second part (mass 2.7t) moves at 2m/s in a direction 25.0 degrees south of east. What is the speed and direction of the third boulder part?

A neutron at rest decays (breaks up) to a proton and an electron. Energy is released in the decay and appears as kinetic energy of the proton and electron. The mass of a proton is 1836 times the mass of an electron. What fraction of the total energy released goes into the kinetic energy of the proton?

A Neptunium-237 nucleus, initially at rest, decays by emitting an alpha particle. The resulting nucleus is Protactinium-233 and travels to the right with a speed of 1,398 m/s. What is the speed of the alpha particle? The masses of each can be kept in atomic mass units. No need to convert to kilograms. The masses of the Neptunium, Protactinium, and alpha particle are 237, 233, and 4 respectively. Np 237 u v=? Pa 233 u 4 u Give speed, not velocity.

A satellite orbiting Earth at a velocity of 3700 m/s collides with a piece of space debris traveling at 6000 m/s. If the objects have the same mass and the space debris has a velocity after collision of 3700 m/s, what is the velocity of the satellite after the collision?

Two rocks collide in outer space. Before the collision, one rock had mass 12 kg and velocity ‹ 4300, −3000, 2550 › m/s. The other rock had mass 5 kg and velocity ‹ −500, 1900, 3600 › m/s. A 1 kg chunk of the first rock breaks off and sticks to the second rock. After the collision the 11 kg rock has velocity ‹ 1550, 250, 2000 › m/s. After the collision, what is the velocity of the other rock, whose mass is now 6 kg?

Three asteroids coated with cosmic slime are moving in the same plane when they collide and stick together. Initially, asteroid A has a mass of 2*107 kg and is moving to the right at a speed of 150 m/s, asteroid B has a mass of 3*107 kg and is moving at 50 m/s towards the lower left at an angle of 60 degrees with respect to asteroid A, while asteroid C has a mass of 5*107 kg and is moving with an unknown speed and angle. After the collision, the resulting single asteroid is moving toward the right at a speed of 50 m/s. Determine the speed and angle of asteroid C prior to the collision.

Students are given two spherical balls made of different materials, but of identical mass and diameter to experiment with. Each ball is dropped from an initial height, h0. The “sad ball” comes to rest without visibly bouncing when it strikes the tabletop. The “happy ball” bounces up to a final height h, where . A fellow student wants to use one of the balls in a carnival game where cups are knocked over by a thrown ball. Which ball should they use, happy or sad? Complete the table below A Answer the Question   B Basic Physics   C Cite Information   D Draw it all together

How to solve?