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MASTERING IN PHYSICS

Ch-07

**Question-1**. A box of concretion m is sliding concurrently a absolute manner.

**Part A** The box leaves comcomcompose x=0 delay hasten v0. The box is slowed by a invaripotent rubbingal security until it comes to interval at comcomcompose x=x1.

Find the majority of the mean rubbingal security that acts on the box. (Since you don't apprehend the coefficient of rubbing, don't apprehend it in your counter-argument.)**Express the rubbingal security in conditions of m, v0, x1**

**Part B** Succeeding the box comes to interval at comcomcompose x1, a idiosyncratic set-outs intermeddling the box, giving it a hasten v1.

When the box reaches comcomcompose x2(wherex2 > x1), how powerfully result has the idiosyncratic performed on the box? Assume that the box reaches x2 succeeding the idiosyncratic has unswerving it from interval to hastenv1.**Express the result in conditions of m, v0, x1, x2, v1**

**Question-2**

Understand that unsuppressed securitys can be removed from the result complete by incorporating them into a new construct of ardor denominated possible ardor that must be pretended to the kinetic ardor to get the whole automatic ardor.

The primeval sunder of this problem contains short-counter-argument questions that retrospect the result-ardor theorem. In the avoid sunder we make-known the concept of possible ardor. But for now, delight counter-argument in conditions of the result-ardor theorem.(PART-A to PART E)

**Question-3.**

Part A Revolve a uniconstruct gravitational scene (a unspotted approximation neighboring the manner of a planet). Find U(yf)−U(y0)=−∫yfy0F⃗ g⋅ds⃗ , where F⃗ g=−mgj^ and ds⃗ =dyj^. Express your counter-argument in conditions of m, g, y0, and yf. U(yf)−U(y0) = SubmitHintsMy AnswersGive UpReview Sunder Allot B Revolve the security exerted by a emerge that obeys Hooke's law. Find U(xf)−U(x0)=−∫xfx0F⃗ s⋅ds⃗ , where F⃗ s=−kxi^,ds⃗ =dxi^, and the emerge invaripotent k is actual. Express your counter-argument in conditions of k, x0, and xf. U(xf)−U(x0) = SubmitHintsMy AnswersGive UpReview Sunder Allot C Finally, revolve the gravitational security generated by a spherically well-proportioned concretionive goal. The majority and inclination of such a security are ardent by Newton's law of starch: F⃗ G=−Gm1m2r2r^, where ds⃗ =drr^; G, m1, and m2 are invariables; and r>0. Find U(rf)−U(r0)=−∫rfr0F⃗ G⋅ds⃗ . Express your counter-argument in conditions of G, m1, m2, r0, and rf. U(rf)−U(r0) = SubmitHintsMy AnswersGive UpReview Part

**Question 4.**

Suppose our illustrationer repeats his illustration on a planet more concretionive than Earth, where the aid due to starch is *g*=30 m/s2. When he releases the circle from chin climax delayout giving it a expedite, how obtain the circle's conduct be-unlike from its conduct on Earth? Ignore rubbing and air opposition. (Select all that engage.)

**Question 5.**

While a roofer is resulting on a roof that slants at 41.0 ∘ over the absolute, he accidentally nudges his 95.0 N implement box, causing it to set-out sliding downward, set-outing from interval.

**Part A** If it set-outs 5.00 m from the inferior party of the roof, how rapid obtain the implementbox be melting exact as it reaches the party of the roof if the kinetic rubbing security on it is 21.0 N?

**Question 6.**

A security correlative to the *x*-axis acts on a sundericle melting concurrently the *x*-axis. This security produces a possible ardor *U*(*x*) ardent by *U*(*x*)=*α* *x*4where *α*=1.16 J/m4 .

**Part A **What is the security when the sundericle is at comcomcompose *x* = -0.660 m ?

**Question 7**

As you are intricate to move a laborious box of concretion *m*, you conceive that it is too laborious for you to hoist by yourself. There is no one environing to aid, so you attract an creative dragey to the box and a concretionless rope to the ceiling, which you cover environing the dragey. You drag up on the rope to hoist the box.

(Figure 1)

Use *g* for the majority of the aid due to starch and neglect rubbing securitys.

**Part A **Once you accept draged distressing sufficient to set-out the box melting upward, what is the majority *F* of the upward security you must engage to the rope to set-out raising the box delay invaripotent celerity?

**Express the majority of the security in conditions of** *m***, the concretion of the box.**

**Part B**Consider hoisting a box of concretion to a climax using two be-unlikeent methods: lifting the box immediately or hoistingthe box using a dragey (as in the earlier part).

What is , the agreement of the result performed hoisting the box immediately to the result performed hoisting the box delay a dragey?

Express the agreement numerically.

**Question 8**

To be potent to interpret possible ardor diagrams and prognosticate the similar turmoil of a particle.

Potential ardor diagrams for a sundericle are advantageous in prognosticateing the turmoil of that sundericle. These diagrams confess one to mention the inclination of the security acting on the sundericle at any purpose, the purposes of stpotent and unstpotent makeweight, the particle's kinetic ardor, etc.

Consider the possible ardor diagram shown. (Figure 1) The flexion represents the compute of possible ardor *U* as a administration of the sundericle's coordinate *x*. The absolute line over the flexion represents the invaripotent compute of the whole ardor of the bit *E*. The whole ardor *E* is the sum of kinetic ( *K*) and ….

sunder A

The security acting on the bit at purpose A is __________.

sunder B

The security acting on the bit at purpose Cis __________.

par C

The security acting on the bit at purpose Bis __________.

sunder D

The aid of the bit at purpose Bis __________.

sunder E

If the sundericle is located slightly to theleft of purpose B, its aid is __________.

sunder F

If the sundericle is located slightly to theright of purpose B, its aid is __________.

sunder G

Name all labeled purposes on the graphsimilar to *unstable* makeweight.

List your choices alphabetically,delay no commas or spaces; for purpose, if you prefer purposes B, D,and E, emblem your counter-argument as BDE.

sunder H

Name all labeled purposes on the graphsimilar to *stable* makeweight.

List your choices alphabetically,delay no commas or spaces; for purpose, if you prefer purposes B, D,and E, emblem your counter-argument as BDE

sunder I

Name all labeled purposes on the graph wherethe aid of the sundericle is nothing.

List your choices alphabetically,delay no commas or spaces; for purpose, if you prefer purposes B, D,and E, emblem your counter-argument as BDE

sunder J

Name all labeled purposes such that when abit is released from interval there, it would expedite to theleft.

List your choices alphabetically,delay no commas or spaces; for purpose, if you prefer purposes B, D,and E, emblem your counter-argument as BDE.

sunder K

Consider purposes A, E, and G. Of these threepoints, which one corresponds to the highest majority ofaid of the sundericle?

sunder L

What purpose on the graph corresponds to theconsummation kinetic ardor of the melting sundericle?

sunder M

At what purpose on the graph does the sundericleaccept the meanest hasten?

**Question 9**

A roller coaster car may be approximated by a block of concretion (m) . The car, which set-outs from interval, is released at a climax (h) over the baseation and slides concurrently a rubbingless course. The car encounters a loop of radius (R), as shown. Assume that the judicious climax (h) is powerful sufficient so that the car never loses touch delay the course.

Find an indication for the kinetic ardor of the car at the top of the loop.

Express the kinetic ardor in conditions of m,g,h and R

Find the narrowness judicious climax (h) at which the car can be released that quiet confesss the car to cling in touch delay the course at the top of the loop.

Express the narrowness climax in conditions of R

**Question 10**

If a fish is attracted to a perpendicular emerge and unwillingly inferiored to its makeweight composition, it is base to tighten the emerge by an aggregate *d*.

If the similar fish is fast to the end of the unstretched emerge and then confessed to drop from rest, through what consummation space does it tighten the emerge? (*Hint:* Calculate the security invaripotent of the emerge in conditions of the space *d* and the concretion *m* of the fish.)

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