A projectile is fired with a speed of 60m/s at an angle of 60 degrees from the ground surface. A second projectile is then fired with the same speed 0.50 seconds later. Find the angle that the second projectile must be fired so that the two particles will collide.

A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet.  a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.

[a] An asteroid with mass X kilograms (kg) is moving eastward at Y meters per second (m/s) collides another asteroid, also with mass X kg, which is moving northward at Z m/s. They stick together and keep moving through space. Draw a diagram of this interaction, labeling all the relevant objects, quantities, and velocity vectors before and after the collision. [b] What is the velocity (magnitude and direction) of the two asteroids after they collide? Your answer should be significant to two digits.

Two identical blocks of mass M = 2.60 kg each are initially at rest on a smooth, horizontal table. A bullet of very small mass m = 20 g (m << M) is fired at a high speed v. = 120 m/s towards the first block. It quickly exits the first block at a reduced speed of 0.40 v, then strikes the second block, quickly getting embedded inside of it. All the motion happens on the x-axis. (a) find the speeds of the two blocks after their encounters with the bullet. (b) Now the first block catches up with the second one and collides with it. They got stuck together afterward and move forward. Find their common speed V after the collision. (c) The two blocks now hit a light spring of spring constant k = 35 N/m mounted on the wall. How far is the spring compressed before the blocks reach a momentary stop?