n this problem, an astronaut is landes on the 6.1×1021 kg asteroid traveling at 9830 m/s and detonates a nuclear bomb. The asteroid breaks into two pieces of equal mass. One piece will fly off at an angle of 30∘ and speed 9700 m/s. What will be the speed and angle of the second piece?

At a particular instant, a moving projectile has a kinetic energy of 258 J and a momentum of magnitude 28.6 kg · m/s. (a)What is the speed (in m/s) of the projectile at this instant?  m/s (b)What is the mass (in kg) of the projectile at this instant?  kg

You are sitting in a sled, at rest on a pond covered with nice, thick, frictionless ice. Your own mass is 94.9 kg, and the mass of the sled when empty is 13.0 kg. From shore, someone throws a baseball of mass 0.140 kg to you, and you catch it; the horizontal component of the ball s velocity is 32.1 m/s. What will be the sled s (and your) speed with respect to the surface of the pond after you catch the ball? 1 1.66 cm/s 2 4.16 cm/s 3 4.73 cm/s 4 34.2 cm/s

A 40-ton rail car and an 80-ton rail car, initially at rest, are connected together with a giant but massless compressed spring between them. When released, the 40-ton car is pushed away at a speed of 3.0 m/s relative to the 80-ton car. What is the speed of the 40-ton car relative to the ground?

Godzilla is fighting Mothra in Tokyo. Godzilla climbs a tall building and, while standing on the top of the building, Mothra slams into him at a speed of 400  m/s. Godzilla grabs onto Mothra during the impact and they are thrown from the top of the building. If Godzilla has a mass of 9 * 10 3 kg and Mothra has a mass of 3.1 * 10 3 kg, how fast are the two monsters going as they pitch from the top of the building?

can you please provide the equations and how to solve these problems, thank you

A joelshawon is a subatomic particle with a mass of 3.5 G and it is made out of a joelon (mass 1.5 g) and a shawon (mass 2g). A joelon going 7.9 x 10^6 m/s to the east collides with a shawon going 1.2 x 10^6 m/s to the north determine the speed and direction of the resulting joelshawon 

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.

MO-6 The Meteor Crater in Arizona is about 1,200m wide and 200m deep. It is believed to have been formed 20,000 years ago when a meteor with a mass of 5.0x10"kg moving at 7.2km/s collided and merged with the earth. If the earth had been at rest prior to the collision, what would the speed of the earth have been after this collision? The mass of the earth is 5.98x10"kg. 24

A glider with the mass of 225g has the velocity of 60.36cm/s. It collided inelastically with 190g stationary glider. Their combined velocity after the collision is measured to be 30.2cm/s. What is the momentum before and after the collision?