A bomb at rest on a horizontal frictionless surface explodes…

A bomb at rest on a horizontal frictionless surface explodes and breaks into three pieces that fly apart horizontally as shown below. Select all of the following statements that must be true after the bomb has exploded.   (1) The total kinetic energy of the bomb fragments is the same as that of the bomb before explosion. (2) The total momentum of the bomb fragments is the same as that of the bomb before explosion. (3) The total momentum of the bomb fragments is zero.

A moving white hockey puck collides elastically with a stati…

A moving white hockey puck collides elastically with a stationary red hockey puck on a frictionless horizontal surface. No net external force acts on the two-puck system. Select all of the following statements that must be true for this collision.   (1) The kinetic energy of the white puck is conserved (same before and after the collision). (2) The linear momentum of the white puck is conserved. (3) The linear momentum of the two-puck system is conserved.

Two identical bullets are fired horizontally with identical…

Two identical bullets are fired horizontally with identical speeds v0 at two blocks of equal mass. The blocks rest on a frictionless horizontal surface and are made of hard steel and soft wood respectively (see diagram below). One bullet bounces elastically off the steel block. The other bullet becomes embedded inside the wood block. Which one of the following statements best describes which block travels faster after the collision?

Rain starts falling vertically down into a cart with frictio…

Rain starts falling vertically down into a cart with frictionless wheels which is initially moving at a constant velocity on a horizontal surface. The rain drops come to rest with respect to the cart after striking it, and rain water accumulates in the cart. Select all of the following statements that must be true about this situation.   (1) The cart will continue to move at a constant velocity because the rain is falling vertically while the cart is moving horizontally.   (2) The cart will continue to move at a constant velocity because the total mechanical energy of the cart-rain system is conserved.   (3) The cart will slow down because the horizontal momentum of the cart-rain system is conserved.  

Carts A and B are identical in all respects before the colli…

Carts A and B are identical in all respects before the collision.   Diagram (i): Cart A starts from rest on a hill at a height h above the ground. It rolls down and collides “head-on” with cart B which is initially at rest on the ground. The two carts stick together.   Diagram (ii): Carts A and B are at rest on opposite hills at heights h/2 above the ground. They roll down, collide “head-on” with each other on the ground and stick together.          Which of the following statements is true about the two-cart system just after the carts collide in the two cases?   Just after the collision,

**Extra Credit – up to 5 points** Will need to be documented…

**Extra Credit – up to 5 points** Will need to be documented in video of HonorLock before closing the exam to earn full credit.   The concentration C, in nanograms per milliliter, ng/mL , of a medication in the body t hours after treatment is given by the function

**Partial Credit Problem**  (8 points total) Will need to be…

**Partial Credit Problem**  (8 points total) Will need to be documented in video of HonorLock before closing the exam to earn full credit.   For a given company the cost function is given by   thousand dollars where x is in thousands of units produced.    In completing the problems use calculus techniques to support your solutions to receive full credit, including the first or second derivative test.  A graphing calculator can be used as a check, however please show the calculus steps to receive any credit.  Answer the following (round answers to three decimal places where applicable and include units). 1) Determine the number of units that must be produced to minimize costs.   2)What is the minimum cost?  To earn credit provide the answers in the box provided below. Do not type supporting work, only final answers. All required support work is to be included in the file submitted after the exam.  This is a partial credit problem.  Clearly label and work this problem out on the paper used for submission.  The work is to be included in the handwritten support work you are creating for this exam and documented at the end of the exam in HonorLock as demonstrated in the video posted in our course Canvas site.  Additionally,  it is required to be part of the submitted file uploaded within 10 minutes after completion of the exam.  

For a function we have the following table of values: x…

For a function we have the following table of values: x 4.90 24.9 4.99 24.99 4.999 24.999 5.00 ?  5.001  111,000 5.01 1100 5.10 11 1) Using the table of values what are best approximations for the one-sided limits?   The left-sided limit,