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A  4 . 00   g  bullet is moving horizontally with a velocity of  355   m / s  to the right. The bullet is approaching two blocks resting on a horizontal frictionless table of height  25 . 0   c m  above the ground. Air resistance is negligible. The mass of the first block is  1150   g , and its velocity is  0 . 550   m / s  after the bullet passes through it. The mass of the second block is  1530   g . If the bullet passes completely through the first block and embeds itself in the second one, as indicated in Fig. 4.1, (a) what is the velocity of the second block after the bullet embeds itself and (b) what is the ratio of the total kinetic energy of the bullet-blocks system after the collision to the one before the collision? If the bullet passes completely through both blocks and moves with a velocity  50 . 0   m / s  after leaving the second block, as indicated in Fig. 4.2, (c) what is the velocity of the second block after the collision? After the bullet leaves the two blocks, the first block collides with the second block and moves with a velocity  0 . 200   m / s  after the collision (see Fig. 4.2), (d) what is the velocity of the second block after the collision with the first block? The second block eventually leaves the table and falls to the ground, (e) what is the speed of the second block right before it hits the ground? final_fig4_q20_spr2026.docx

A physics student in a hot air balloon ascends vertically at constant speed. Consider the following four forces present in this situation:F→1=the weight of the hot air balloon;    F→3=the weight of the student;F→2=the force of the student pulling on the earth;    F→4=the force of the hot air balloon pulling on the student.Which one of the following relationships concerning the forces or their magnitudes is true?

Projectile is launched to a level plain at height 3 . 00   m above the launch point along the path shown in Fig. 2.1. Its initial speed is v i → = 15 . 00   m s with the initial velocity vector making an angle 60 . 00 ° above the horizontal. (a) How much time does the projectile take to reach the level plain and (b) what are the x  and y  components of the projectile’s velocity right before reaching the level plain? As shown in Fig. 2.2, if projectile B is launched at an angle 60 . 00 ° above the horizontal to a level plain that is 3 . 00   m above the ground and 12 . 00   m  from the projectile, (c) what is the initial speed v i → of the projectile? (d) What is the maximum height that projectile B can reach? If projectile C is launched with a speed found in (c) and lands a distance 12 . 00   m on the ground, as shown in Fig. 2.3, (e) what is the launching angle of projectile C? final_fig1_q17_spr2026.docx

(5 points)a. (1 point) Write a simple how-many-groups word problem for 13÷45. Your problem should be such that the answer 512 will make sense.b. (3 points) Explain how to solve your problem in part (a) by reasoning about a math drawing, the definition of fractions, and equivalent fractions. Explain how you can determine the answer 512 from your drawing. Do not simply state (or use) the common rule for dividing fractions (which is to multiply by the reciprocal of the second fraction). Reminder: you should include unit amounts for all the fractions in your explanation and drawing.c. (1 points) Explain why it makes sense to divide fractions by first giving the fractions common denominators and then dividing the numerators. (You may use your work from parts (a) and (b) to supplement your explanation here).Question: I have written my answer to this question on paper. Type yes or no. 

(4 points)Becca says that 58>37 because 5>3 and 8>7.a. (2 points) Discuss whether or not Becca’s reasoning is valid and whether or not her conclusion is correct.b. (2 points) Describe another way to reason to compare 58 and 37 without converting to decimals, giving the fractions common denominators or common numerators, or cross-multiplying.Question: I have written my answer to this question on paper. Type yes or no. 

Various question formats are used on this exam. None will require written answers. Choose the best answer for each question. You may use any number of pages from your notes or PowerPoint files from the course to help you. These may be digital or on paper. I recommend using files in Microsoft PowerPoint, Word, or Pages, or PDF files to make sure Honorlock will allow them. You will have 90 minutes to answer all of the questions once you begin. Questions and answers are presented at random.

(5 points)Label all of the tick marks on the number lines shown below appropriately (so that the long and short tick marks fit with the structure of the base-ten system) and explain in detail why you labeled them that way. Question: I have written my answer to this question on paper. Type yes or no. 

I acknowledge that I am responsible for submitting all assignments on time, that late homework will not be accepted, and that there are no make-ups for missed quizzes.

I acknowledge that I have read the syllabus and understand the requirements for this course.

T  / F  The Freely Positionable Photo-Conductive Sampling Probe has a high measurement bandwidth in the excess of 120 GHz for repetitive waveforms.