A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed Vo, when the proton is a distance Xo from the nucleus. It undergoes an acceleration of magnitude a=kx^-2 directed away from the nucleus, where x is the distance from the proton to the nucleus and k is a positive constant. (Assume the lead nucleus remains stationary throughout.)
(a) Give an expression for how the velocity of the proton depends on x. (It will also depend on k, Vi, and Xi.)
(b) Find an expression for the distance of closest approach of the proton to the nucleus.
A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed Vo,...
1. A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed vo, when the proton is a distance xo from the nucleus. It undergoes an acceler- ation of magnitude a k directed away from the nucleus, where is the distance from the proton to the nucleus and k is a positive constant. (Assume the lead nucleus remains stationary throughout.) (a) Give an expression for how the velocity of the proton depends on r. (It will...
1. A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed vo, when the proton is a distance xo from the nucleus. It undergoes an acceler- ation of magnitude a k directed away from the nucleus, where is the distance from the proton to the nucleus and k is a positive constant. (Assume the lead nucleus remains stationary throughout.) (a) Give an expression for how the velocity of the proton depends on r. (It will...
1. A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed vo, when the proton is a distance xo from the nucleus. It undergoes an acceler- ation of magnitude a k directed away from the nucleus, where is the distance from the proton to the nucleus and k is a positive constant. (Assume the lead nucleus remains stationary throughout.) (a) Give an expression for how the velocity of the proton depends on r. (It will...
Physics 4A: Collected Homework 1 1. A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed vo, when the proton is a distance zo from the nucleus. It undergoes an acceler ation of magnitude a = kx-2 directed away from the nucleus, where x is the distance from the proton to the nucleus and k is a positive constant. (Assume the lead nucleus remains stationary throughout.) (a) Give an expression for how the velocity of...
1. A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed v0, when the proton is a distance x0 from the nucleus. It undergoes an acceleration of magnitude a = kx−2 directed away from the nucleus, where x is the distance from the proton to the nucleus and k is a positive constant. (Assume the lead nucleus remains stationary throughout.) (a) Give an expression for how the velocity of the proton depends on x. (It...
4. Consider two asteroids with masses mi and m2 located in outer space far away from any external forces. m2 is initially stationary but mi travels horizontally to the right towards m2 with an initial speed vo. Let's assume that after the collision the asteroids only move horizontally (in other words we'll assume this problem is purely 1-dimensional) a) Suppose the asteroids stick together after colliding. Find an expression for the final velocity of the asteroids and show that the...
question 4-7 4. Travelling Waves and Their Characteristics A rope wave travels in the positive x -direction. You are also told that the speed of the wave is 1000 cm/s, its frequency is 200 Hz, and that the wave is subject to the following initial conditions: at x 0 and t = 0: y =-1 cm, and, at x = 0 and t : ar = +20 cm/s (this is the velocity of the point on the rope at horizontal...