Predict/Calculate Consider a “relativistic air track” on which two identical air carts undergo a completely inelastic collision. One cart is initially at rest; the other has an initial speed of 0.650 c . (a) In classical physics the speed of the carts after the collision would be 0.325 c . Do you expect the final speed in this relativistic collision to be greater than or less than 0.325c? Explain (b) Use relativistic momentum conservation to find the speed of the carts after they collide and stick together.
Predict/Calculate Consider a “relativistic air track” on which two identical air carts undergo a completely inelastic collision. One cart is initially at rest; the other has an initial speed of 0.650 c . (a) In classical physics the speed of the carts after the collision would be 0.325 c . Do you expect the final speed in this relativistic collision to be greater than or less than 0.325c? Explain (b) Use relativistic momentum conservation to find the speed of the carts after they collide and stick together.
Predict/Calculate Consider a “relativistic air track” on which two identical air carts undergo a completely inelastic collision. One cart is initially at rest; the other has an initial speed of 0.650c. (a) In classical physics the speed of the carts after the collision would be 0.325c. Do you expect the final speed in this relativistic collision to be greater than or less than 0.325c? Explain (b) Use relativistic momentum conservation to find the speed of the carts after they collide and stick together.
Figure 8.14 shows a cube at rest and a small object heading toward it. (a) Describe the directions (angle 1) at which the small object can emerge after colliding elastically with the cube. How does 1 depend on b, the so-called impact parameter? Ignore any effects that might be due to rotation after the collision, and assume that the cube is much more massive than the small object. (b) Answer the same questions if the small object instead collides with a massive sphere.
2. A projectile is shot from a launcher at an angle 0,, with an initial velocity
magnitude vo, from a point even with a tabletop. The projectile hits an apple atop a
child's noggin (see Figure 1). The apple is a height y above the tabletop, and a
horizontal distance x from the launcher. Set this up as a formal problem, and solve
for x. That is, determine an expression for x in terms of only v₁, 0, y and g.
Actually, this is quite a long expression. So, if you want, you can determine an
expression for x in terms of v., 0., and time t, and determine another expression for
timet (in terms of v., 0.,y and g) that you will solve and then substitute the value of
t into the expression for x. Your final equation(s) will be called Equation 3 (and
Equation 4).
Draw a phase portrait for an oscillating, damped spring.
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
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