Inclined Plane Proble Lyzinki Phyic riction puh/pull perp Intead o an x-y coordinate yte, inclined plane proble ue a coordinate yte. There i a Geoetric explanation o the why the angle aboe are both theta.. Draw the ull ree-body diagra o a block that i getting puhed DO an inclined plane by a orce parallel to the incline. Aue that the incline ha an angle o inclination o degree and that it OT rictionle. puh riction perp
. Draw the ull ree-body diagra o a block that i getting pulled UP an inclined plane by a orce at an angle o degree aboe the inclined urace. Aue that the incline ha an angle o inclination o degree and that it i OT rictionle. pull y x riction perp 3. A 00 kg block i itting on an incline plane whoe angle o inclination i 0 o. ind: a) the parallel and perpendicular coponent o the orce due to graity. b) the noral orce. c) the orce o riction that keep the block ro liding. g (00kg)(9.8 ) 980 in gin (00kg)(9.8 co g co (00kg)(9.8 )in(0) 70. )co(0) 965. 70. [ uphill ] 965.
4. A 000 kg car ha it parking brake on becaue it i itting on hill with a 0 o lope. ind the orce that the brake ut apply to keep the car ro oing. Then, ind the car noral orce. g (,000kg)(9.8 ) 9,800 in gin (,000kg)(9.8 co g co (000kg)(9.8 )in(0) 3,35.8 )co(0) 9,09.0 brake 3,35.8 9,09.0 [ uphill ] 5. A 4 kg block i put on a 5 o inclined plane. ind the box acceleration auing a rictionle urace. g (4kg)(9.8 in gin (4kg)(9.8 0 (rictionle) ) 39. )in(5) 6.6 6.6 a 6.6 4kg a a 4.
6. An incline ha an angle o inclination that i adjutable. A 0 kg block i put on the incline and the angle i increaed until the block begin to lide. I the coeicient o tatic riction i 0.6 between the block and the incline, ind the angle that caue the block to lide. in gin, tatic, tatic g co g co the box will begin to lide when gin g co in co in co tan, tatic tan ( ) tan (.6) 3.0 o 7. A 70 kg kier i kiing down a hill with an angle o inclination o 0 o. He ha newly waxed ki, which hae a coeicient o kiic riction o 0.05 with the now. ind hi acceleration, auing that he i not uing hi ki pole, but i intead kiing downhill under graity orce alone. How ar will he trael in 0 econd i he tart ro ret? g (70kg)(9.8 in gin (70kg)(9.8 co g co (70kg)(9.8 644.69 ) 686 (0.05)(644.69) 3.3 )in(0) 34.66 )co(0) 644.69 34.66 3.3 0.395 a 0.395 70kg a a.9 0, t 0, a.89 d a( t) t 44.6
8. A 0 kg block o ice lide down a rap 0 long, inclined at 0 to the horizontal. a) I the rap i rictionle, what i the acceleration o the block o ice? b) I the coeicient o kiic riction i 0.0, how long will it take the block to lide down the rap, i it tart ro ret? g (0kg)(9.8 co g co (0kg)(9.8 96.5 ) 98 in gin (0kg)(9.8 (.0)(96.5 ) 9.65 )in(0) 7.08 ) co(0) 96.5 rictionle cae riction cae a a 7.08 0 7.08 a 7.08.7 0kg 7.08 9.65 7.367 a 7.367 0.7 0kg 0, d 0, a 0.737 d a( t) t d 7.4 ec a t 9. A kier ha jut begun decending a 0 lope. Auing that the coeicient o kiic riction i 0.0, calculate: a) the acceleration o the kier. b) hi inal elocity ater 8.0 econd. g in gin co g co g co g co gin g co a gin g co a g in g co a a g in g co (9.8 )in(0) (.0)(9.8 ) co(0).4 0, t 8, a.43 at 9.4 /
0. A 4kg box tart to lide on an incline o 5 o. I the coeicient o kiic riction on the incline i 0., how at and how ar will the box trael in 5 econd? g in g in a g in g co a a 3.5 / g in g co g in g co a 0, t 5, a 3.5 / at d a( t) 6.3 / 40.6. A block o ice i placed on an inclined plane o 60 o. Deterine it acceleration i the coeicient o riction i 0.. g in gin co g co g co g co gin g co a gin g co a g in g co a a g in g co (9.8 )in(60) (.0)(9.8 ) co(60) 7.507
. hat i the coeicient o riction o an object oing down at 35 o lope at a contant peed o /? g in gin co g co g co g co contant elocity iplie that 0 gin g co 0 gin g co in co tan tan tan(35) 0.7 3. A boy i pulling a 6 kg led up a hill at a contant peed o 6 /. The hill ha a lope o 38 o and a coeicient o riction o 0.. Deterine the orce applied by the boy in order to oe the led up the lope at a contant peed. Aue the boy pull with a orce parallel to the inclined plane. pull g in gin co g co g co g co contant elocity iplie that 0 pull pull 0 gin g co g(in co ) (6kg)(9.8 )(in 38 (0.) co 38) 45.5
4. An object i liding at 0 / when it encounter a 0 o hill with a coeicient o riction o 0.5. How ar up the hill doe the object lide beore coing to ret? g in gin co gco gco gco a gin gco a a g in g co 4.733 0, 0, ad a 4.733 d a 4.3