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SearchQuestion 6: Three forces F = 20.0 N,Fz = 40.0 N, and Fz 10.0 N act on an object with a mass of 2.0 kg which can move along frictionless inclined plane &s ...

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SearchQuestion 6: Three forces F = 20.0 N,Fz = 40.0 N, and Fz 10.0 N act on an object with a mass of 2.0 kg which can move along frictionless inclined plane &s shown in the figure. The questions refer to the instant when the object has moved through a distance of 0.6 m along the surface of the inclined plane in the upward direction Calculate the net work done On the object. B Ifthe object has zero kinetic energy at the start of the displacement what is its speed at the end of the displacemen

Search Question 6: Three forces F = 20.0 N,Fz = 40.0 N, and Fz 10.0 N act on an object with a mass of 2.0 kg which can move along frictionless inclined plane &s shown in the figure. The questions refer to the instant when the object has moved through a distance of 0.6 m along the surface of the inclined plane in the upward direction Calculate the net work done On the object. B Ifthe object has zero kinetic energy at the start of the displacement what is its speed at the end of the displacement? C What is the average power of the applied forces on the crate ifit travels 0.6 m distance in 1 min? 30 30"



Answers

In Fig. $7-33,$ a horizontal force $\vec{F}_{a}$ of magnitude 20.0 $\mathrm{N}$ is applied to a
3.00 $\mathrm{kg}$ psychology book as the book slides a distance $d=0.500 \mathrm{m}$ up a frictionless ramp at angle $\theta=30.0^{\circ} .$ (a)
During the displacement, what is the net
work done on the book by $\vec{F}_{a},$ the gravitational force on the book, and the nor-
mal force on the book? (b) If the book
has zero kinetic energy at the start of the displacement, what is its speed at the end of the displacement?

This problem covers the concept of the worked by the force and that is equivalent to the magnitude of the force into the magnitude of the displacement into co sign of tangle between the force and there is space. And another concept is the network done is equivalent to the changing cannot take energy. So if we want to find the work done by the force F. A. Then it's equal the magnitude of force F. A. Into the magnitude of the displacement into co sine of the angle between the force and the displacement. And that will dangle theater. Okay, so the warden by F. A. Is a Cuban into the magnitude of her face. 20 newtons into the displacement and that is zero five m into Who will sign off Angle two days. Uh 30 degrees Are the work done by the first phase? 8.66 Jews. Okay. Now the work done by the gravity is the weight that is MG into the displacement into co sine of the angle between the gravity and the displacement. And in that case the angle between gravity and the displacement. The total angle become Manti proceed to. So the Walton by the gravity is the mosses um-. Sorry the masses three Kg into the gravity G. That is 9.8 m four second square Into the displacement. That is 0.5 m into course 90 prostate A. Is minus sine theta so we can let minus or sign 30 degrees. The work done by the gravity's -7.35 shoots. The work done by the normal reaction force is a Cuban into zero because the angle between the normal reaction force and the displacement is 90°.. So the work done by the normal reaction force is 202. This is the solution of party. No party from work energy serum. The network done is secure in the changing kind of technology And the network Dennis. The work done by the 4th and that is 8.66 Jews Plus the work done by the gravity that is -7.35. To express the working with an armed reaction force. That is zero jewel equals the change in Canada technology. That is the final kind of technology. So we can write half of the mass into the funnel speed square minus the initial speed square. Are I can write the final speeders squad rolled off two and two. The total world. Um and that is 1.31 jules upon the moss and that is three kg. The final speed of the book is 0.935 m.

This can show you have two different forces acting on a single object, one of the force dissecting at an angle off 35 degrees. So these F one, given the magnitude off F one, is 25 mutants. Next we have two, which is acting Get angle off 150 degrees. So for this he magnitude for F two is 42 new tents. Now the first part is simply just breaking these two forces into er unit vectors. You need vector notation. Basically, you want to find what it's the horizontal and vertical components off each off this forces. So let's start for force one right Saudi hoist on to a component. It's just go sign go sign 35. So for F one, the horizontal component which is along the I direction, it's just five times. Call sign Fight agrees. She gives us 20.5 year tens and 40 g direction just ah, along the vertical axis. It's just a kinky sign. 35 degrees to get 14.3 mutants, So I have one in terms Office unit. Vector location is 3.5 I the 14 point tree J you tents where we do the same process for half to I'm gonna skip a few steps now because his D C steps majestic team magnitude just 42. That's much blood by I co sign or sign right of any old way of looking at so called sorry for the I directions. Sign 150 degrees plus sign off your refugee agrees 40 Jokey fuss. 36 were full, I plus points you Jay, you're nuts now to find the Nets fourth factor That or objects tips off the unit Vector notations. We just have to at the respective components together, so I will verify j will lead refugee. So for if what? We have 20 point FYI thus negative 36.4 from F two. So it is for the I component 40 j components. It's 14.3 and tell you one points you This will be fuss with. But if I plus 35.3 j not to find the nets acceleration off the object, take a the net force divided by our mess. So the mess off the object is given to be five kilograms, so we just divide by five. All right, so now what we want to find this The velocity, The final velocity off at time T goes toe three seconds Be going to use the equation. Can medication equals two you Thus 80 where you It's the initial velocity is all acceleration. The initial velocity is given to be four meters per second in the X direction 404 I and 2.5 in the white Action Registry. So just be for my That's 2.5 j our ex elevation iss cocotte the buff here we just multiplied headed by t Just treat so simplifying this expression gets 35.54 the eye direction last 3.7 d j direction Now to find what is the displacement, right? It's position compared to the show initial position, any origin You're going to use the equation as she goes to u t us Off it he square the Sakina Mary equation again. The initial velocity full I blasted boy fight J time is tree Thus half times DX elevation 8.18 i that sound place You're so jean times t squared Just square You got anything? This expression gets negative The country i us today nine point tree G in terms off meters to find the kinetic energy final kinetic energy of a simple use All previous insurgency. For dusty right, we have found the final velocity. So the kinetic energy is just taking half times mass times fun of lossy square and maybe are squaring it in mutual taking t make neat, you square. So this would be just half times m times 5.54 squared plus 23.7 square. This will give us one for hits. You juice. Right? So remember that m is, uh, five kilograms Knicks. We wanna use the, uh, miss sorry gonna use the book Kinetic energy relation That is, uh, to find why so final kinetic energy energy is given Asked the initial kinetic energy class T work done on the system, This is yes, thoughts Delta are rich, tells RST work done on the system the initial velocity we already created. So we just take t may meet you square. So just be for script plus 2.5 square. Then we take the dot product between de force somos our displacement. This case, uh, the I components will well multiply if each other deejay components are multiplying each other and then some them together. So I component 40 force. It's negative. 15 point night. Multiply that by the I component for this baseman, which is that if 2.30 we at that with the J component to force would play by the component off our displacement and you can put everything into the co creator toe develop it. This maybe should get also want for its your jokes Just the same s when we were using the cinematic equations too soft for this equation. It's a way tells us steady work. Kinetic energy to room is consistent with only returns Second law, difficult semi and tv risk kinetic equations. We was keen romantic equation. Instead we use

Here expressed the force effort into its horizontal and vertical component. I can dry to the formula F one vectored. Is it political? Everyone goes to Dublin I plus F one saying to Devon in duty. No, here's we will board the values. So it's strange if I course 35 I plus identify Cering, 35 digging and my answer will be green. Do you find 47? I nice for Dean Point 34 Jean Sporting Point de Forging New Done which is nothing much My f one no similarly expressed the force effort into its horizontal and vertical component Both so I can write, Never do it's acquittal if true, close to dare to I bless after sign Do you dare do g again? Here we are having after release 42 and the total value is 1 50 degree place Our teacher course 1 50 And the solution of this trump will you meet the final answer minus 36 point seven I nos Grandy, one g neuter. This is my four still now the total force never is a Quito Ekstrom off Have fun. Plus after So here in this I'm going to wear this to equation this one and this one. So here we will do the addition off components caused That will do me the answer minus exchange point. Granted three I and then we're going to wear all J components that Give me the answer. 35 point 30 40 Nugent. No, concentrate on the acceleration. So we are going to use the word here the Newton seeking low physical Joe Ami and difficult I can write. A situation is going toe ever on M Now we held the force value in this equation. So I'm going to put this force value here, which is minus 16 point 23 I plus 35 point 34 g and the most value is fine. We help to divide both two terms by fine. So we will have the final answer minus three point 24. I blows saving point 06 and T and unit will be major per sicking squid. Now, to find the velocity be here, the final velocity year is acquittal Initial velocity bliss Game two. It's acquittal for I plus do point, my aging plus minus three point 24 I because already we have calculated the acceleration into a bow equation so I can try to the same one into the time. Bridget, ease cream, which Q is you meet the Aren't so minus by going to 72 by plus 23.60 82 me Douglas staking No to find the kinetic energy off the object. They can read the formula. Gait is acquittal 1/2 m. V squared. Let me complete the record here, so it will highlight the answer. Okay, now we can more Porter. No, it's come to the gun it again on TV. Now I'm going to put the values immigration through the marshes spy and the velocities minus fiber in 72. Right. Bless. Granted three point 68 e. J. Squid, Which give me the answer one point 43 into trying to power three ju, which is nothing but my frenetic energy. No kinetic energy from the for long relation. Thank in great key is acquittal when her and we I squared place Sikma. Yeah. Door did, uh is a quality when, huh? Again, my MBA Loose. Fine. The value is full. I bless. 2.50 G plus Sikma minus 16.23. Hi. bliss 35 point 34 Jean into the doctor When you is minus 2.58 I plus 39 point drink to seven Jing So my final answer will be after all the brought out Thank you Enjoyed one brain 43 into 10 to power three ju As we can see they're gonna tick energies grown. Disagree Shing And this from this equation are the same from bow to parts. And do you book energy Tiered, um is consistent with Newton's second law that can be brewed. So in the next jam it is brewed Sean Hubble equation.

I have driven. This is the problem based on broken by the forts. Here it is given a thread off must 10 kg is to be pulled over the inclined plane. Having that inclination 20 degree which is to be loved and kinetic friction is find for it is to be pulled with constant speed off. Well 0.5 m due to pulling force off 100. You can if it moves, find meter Then we have to calculate Worked on in the first part Broken by gravitation foods changing Internet energy Toto Fiction she worked in by putting foods change in kinetic energy when it moves 5 m band and took a track And whether city, when it is moving 5 m and that is to start solving it first back Yeah, Welcome. Bye. Gravitational force will be M G s cause off 90 Placed it up. Substitute the volume 10 in 29 point age in tow. 5 m because off 90 plus 20. So it is to be minus 1 68. Dude, this is the answer off part A not part we worked on by friction. Friction will be quarto um UK into normal reaction. She's a normal reaction weight will act here. Normal reaction will be in this direction. You can result a bit empty in tow component. So here it will be empty cost. It'll on Dhere It will be and design oxygen so normally except will be equal toe empty capacitor. So friction will be mu cake and d course it'll Yeah, mhm! So walked on by friction Bilby It's got to change in internal energy worked on by friction That is hell in tow Muche it mg cost itto Yeah, five mil k is 50.4 10 into 9.8 and toe cause off 20. So it is Toby 1 84. Do see part work done by pulling force f l cause off Europe that we correct. Here we are taking distance as forces given 100. Even so, it will be 500 to by barking. Largest serum changing kind of technology is Curtis emission off work minus changing intern energy Applied Burke energy to Europe worked on by force work done by gravity minus changing in turn, energy broken by force 500 1 68 minus Vanity four circuit is Toby 1 48 to e part um changing kind of technology is half and be final velocity minus half and v A script. Yeah. Substitute the value 1 48. Okay, this we're finding can in tow. Initial velocity. That is one point fight. So conserving it. Mhm. Yeah. No final velocity. You will get 5.65 meter per second. Yeah, they're so thanks for


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