Unit2ProgressCheckFRQs

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Highland Junior High School**We aren't endorsed by this school

Course

PHYSICS 103

Subject

Physics

Date

Dec 17, 2024

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Uploaded by EarlBuffalo4106

1.Show all your work for each part of the question. The parts within the question may not have equal weight.A sphere of massis attached to a string of lengthl. The sphere swings in a horizontal circle with a constantspeed, as shown in Figure. The string makes an anglewith the vertical.(a)i. On the following dot, which represents the sphere,draw, and label the forces that act on the sphere when thesphere is at the position shown in Figure. Each force must be represented by a distinct arrow starting on, andpointing away from, the dot. Draw the relative lengths of the vectors to reflect the relative magnitudes of theforces exerted on the sphere for any relative values known.AP PHYSICS 1Test BookletUnit 2 Progress Check: FRQAP Physics 1Page 1 of 8

ii. Starting with Newton’s second law,derivean expression for the speed of the sphere. Express your answerin terms of,l,, and physical constants, as appropriate. Begin your derivation by writing a fundamentalphysics principle or an equation from the reference booklet.(b) A student claims that if the sphere is swung ball fast enough, the string will be perfectly horizontal.Indicatewhether this claim is correct or incorrect andjustifyyour answer.Test BookletUnit 2 Progress Check: FRQPage 2 of 8AP Physics 1

2.Show all your work for each part of the question. The parts within the question may not have equal weight.A sled of massslides down a rough ramp with a constant speed. The angle between the ramp and thehorizontal is, as shown in Figure. The ramp smoothly transitions to a horizontal surface. The coefficients ofstatic and kinetic friction between the sled and the ramp areand, respectively. The ramp and the horizontalsurface are made of identical materials.(a) The dot in Figurerepresents the sled when the sled is sliding down the ramp at a constant speed.Drawandlabelarrows that represent the forces (not components) that are exerted on the sled. Each force in your free-bodydiagram must be represented by a distinct arrow starting on, and pointing away from the dot.(b)i. Starting with Newton’s second law,derivean expression for the force of friction exerted on the sled.Express your answer in terms of,,,, and physical constants, as appropriate.ii.Derivean expression for the coefficient of kinetic friction between the object and the ramp. Express youranswer in terms of,,,, and physical constants, as appropriate.Test BookletUnit 2 Progress Check: FRQAP Physics 1Page 3 of 8

From timetothe sled slides down the ramp at a constant speed. Atthe sled reaches thebottom of the ramp and fromtothe sled continues to slide on the horizontal surface, as shown inFigure. The sled comes to rest sometime after.(c) On the axes shown in Figure, sketch a graph of the speedof the sled as a function of time fromto.(d)Indicatehow the shape of the graph betweenand, sketched in part (c) would change, if at all, ifthe angle of the ramp were increased.Justifyyour claim.Test BookletUnit 2 Progress Check: FRQPage 4 of 8AP Physics 1

3.Show all your work for each part of the question. The parts within the question may not have equal weight.A group of students is asked to take measurements to create a graph that can be used to determine the massofa block. The students have a set of springs that are attached at one end to the ceiling. Each spring has a different,known spring constant and a loop to which the block can be attached. The students are also given a meterstick butdo not have a scale or a balance.(a)Describea procedure for collecting data that can be graphed to determine. Include steps necessary toreduce experimental uncertainty.(b)Describehow the data collected in part (a) could be graphed, and how that graph would be analyzed todetermine.Test BookletUnit 2 Progress Check: FRQAP Physics 1Page 5 of 8

Another group of students is given an identical set of springs with known spring constants which can be attachedto a wall. The springs can also be attached at the other end to a block of known mass. The studentsattach the block to one of the springs as shown in Figureand pull the block to the right. The students record themaximum stretch of the spring before the force of friction is no longer able to keep the block at rest when the boxis released. The students replace the spring and repeat the experiment. The following table shows the datacollected by the students.Spring ConstantMax Stretch from EquilibriumThe students correctly determine that the relationship between spring constant of the spring and the maximumstretch of the spring, is given by, whereis the coefficient of static friction between the blockand the surface. The students create a graph withplotted on the vertical axis.(c)i.Indicatewhich measured or calculated quantity could be plotted on the horizontal axis to yield a linear graphwhose slope can be used to calculate an experimental value coefficient of static frictionbetween the blockand the surface. You may use the remaining columns in the table, as needed, to record any quantities(including units) that are not already in the table.Vertical:__________Horizontal:__________Test BookletUnit 2 Progress Check: FRQPage 6 of 8AP Physics 1

ii. On the grid shown in Figure,plotthe data points for the quantities indicated in part (c)(i) that can be usedto determine. Scale the graph as appropriate. Clearlylabelthe horizontal axis, including units.iii.Drawa best–fit line for the data graphed in part (c)(ii).(d)Calculatean experimental value forusing the best-fit line you drew in Figurein part (c)(iii).Test BookletUnit 2 Progress Check: FRQAP Physics 1Page 7 of 8

4.Show all your work for each part of the question. The parts within the question may not have equal weight.A ball of massis attached to a string of length. The ball moves clockwise in a vertical circle at a constantspeed, as shown in Figure. When the ball is at Point, the magnitude of the tension in the string is.(a) The speed of the ball is then increased to speedsuch that. The ball is again swung so that it movesin a vertical circle at constant speed. Now when the ball is at Point, the magnitude of the tension in the string is.Indicatewhetheris greater than, less than, or equal to.______________________________Justifyyour answer using qualitative reasoning beyond referencing equations.(b) Starting with Newton’s second law,derivean expression for the tension in the stringas the ball moves ina vertical circle at a constant speed. Express your answer in terms of,,, and physical constants, asappropriate. Begin your derivation by writing a fundamental physics principle or an equation from the referencebooklet.(c)Justifyhow the expression to derived foryou derived in part (b) is or is not consistent with the claimmade in part (a).Test BookletUnit 2 Progress Check: FRQPage 8 of 8AP Physics 1