Plz both no chatgpt  Will.upvote

Please solve the problem step by step with explanations along each step explaining what's been done.Thank you!!

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.

A person is running a temperature of 41.0°C. What is the equivalent temperature on the Fahrenheit scale? (Enter your answer to at least three significant figures.)  °F

What is the period of a rock of mass 2.0kg tied to the end of a spring 0.625m long string that hangs in a doorway and has an elastic constant of 40N/m?

Give an example of friction speeding up an object.

Which is the higher temperature? (Assume temperatures to be exact numbers.) (a) 272°C or 272°F? 272°C 272°F     They are the same temperature. (b) 200°C or 368°F? 200°C 368°F    They are the same temperature.