Aprojectile proton with a speed of 500 m/s collides elastically with a target proton initially at rest. the two protons then move along perpendicular paths, with the projectile path at 60° from the original direction. (a) what is the speed of the target proton after the collision? 0 incorrect: your answer is incorrect. m/s (b) what is the speed of the projectile proton after the collision?

(a) The speed of the target proton after the collision is:, and (b) the speed of the projectile proton after the collision is: .

Explanation:

We need to apply at the system the conservation of the linear momentum on both directions x and y, and we get for the x axle:, and y axle:. Now replacing the value given as: , for the projectile proton and according to the problem are perpendicular so , and assuming that , we get for x axle: and y axle: , then solving for , we get: and replacing at the first equation we get:, now solving for , we can find the speed of the projectile proton after the collision as: and , that is the speed of the target proton after the collision.

the velocity you are looking for is made up of two parts: horizontally velocity, vh, and its vertical velocity, vv. the actual velocity of the ball will be these two parts added together, and because velocity is a vector then they will need to be added vectorially.  

neglecting air resistance etc etc.,  

the horizontal velocity component will be constant (because there is no accelerating force in the horizontal direction.  

vh = 8 ms-1  

the vertical velocity component has an accelerating force: 'g'.  

using v = u +at where a = g = 9.81 ms-2.  

the vertical component of velocity, vv = 0 + gt = vv =9.81 x 2  

vv = 19.62 ms-1 . the zero appears because the virtical component of velocity at time t=0 is zero. remember, the ball was thrown horizontally.  

how fast it will be moving (it actual path (being a parabola )) will be the vector sum of these two.  

adding vectorally gives: -  

v = sqr root (8^2 + 19.62^2) = sqr root(64+384.9) = 21.18 or 21.2 ms-1

vapour or gas assuming atmospheriv pressure