). = + U = -U U= mgy (y= H) =0 = mgh. y=0 = U=0

3761 5226 9585 ). = + U = -U U= mgy (y= H) =0 = mgh. y=0 = U=0 y = mgh mgy, 3761 5226 ) ) =mg 2 F=ma F-B=ma Fmg=m.2g F=3mg F=3B B = F/3

3763 5208 ) ) W 1 = -mgh W 2 =mgh W = W 1 + W 2 = -mgh + mgh=0 3763 5208 ) ). 1 = 1 = ½ ( + ) = ½ ((10+20).30 =450 m 2 = 2 = ½. = ½ (30-20) 30 =150 m = 1-2 = 450-150= 300 m

3768 ) =.t =6.t =6 m/s = ½ t 2 X= 2t 2 ½ = 2 = 4 m/s 2 H = t =4t 4t=6 t= 6/4 =1,5 m/s 3768 5405 ) ) F.

, W 0 A = W 0 3770 5253 ) ). 1 = 1 = ½ = ½ ((10).20 =100 m 2 = 2 = ½. = ½ (30-20) 5= 25 m = 1-2 = 100-25= 75 m 3770 5253 5332 9581

) ) = ½ m 2 = = ½ m (2 2 ) = 4. ½ m 2 =4 = - = 4 - = 3 U= - = -3 3772 5229.. 2 F 2 = 0 B 2 -T=0 T=B 2 1 F 1 = 0 T 1 -T-B 1 =0 T 1 = T+B 1 T 1 = B 1 +B 2 3772 5229 5325 5339 9467 9638

) ). = - t 0 = - t t= t = / d= t ½ t 2 d=. ( / ) ½ ( / ) 2 d= 2 / - 2 /2 d= 2 /2 d 1 = 1 2 /2 d 2 = 2 2 /2 = (2 1 ) 2 /2 = 4 1 2 /2 = 4 d 1 3774 ) ) h= ½ gt 2 2 h = ½ gt h = ½ gt 2 h = ½ g(2 t ) 2 h = 4. ½ g t 2 h = 4 h 3774 ) ) F=m.a F 1 - mg= ma

F=m.a mg- F 2 = ma mg- F 2 = F 1 - mg F 1 +F 2 = 2 mg 4173 ) ) = F=0 F- T=0 T=F=10N F = 2F F=m.a F - T= m.a 2F-T=m.a 20-10=0,5a 10=o,5a a= 10/0,5 a= 20 m/s 2 4173 ) ) F W= E = ½. = ½ 2. 20 = 20 J

4186 5203 100J = + U = + U 100= + 80 =20 J = + U 100= 40 + U U =60 J = + U 100= + 10 =90 J 4186 5203 ) ) F=m.a B-F=m.a mg F= mg/2 F = mg- mg/2 F= ½ mg F= ½ B

4980 5337 9002 9105 ) ) -t > > > t> t > 4980-9581-8996 ) ) 1 = ½ m 1 2 = (2 2 ) 2 = 4 2 2 = 4 2 ½ m 2 2 2 ) 2 2 2

4982-9005-9015 ) ) -t. 4982-9002 ) ) ( ) = ( ) U A + K A =U B +K B 0 + ½ m 2 = mgh +0 = 2.gh = 2.gh = 2.g2h= 2. 2.gh = 2. 4983-9011 ) ) F=m.a F=m.a m.a = 2m a a = ½ a

4983-9005 ) ) =K + U =0 + mgh E = mgh = K + U = + mgh/2 = + /2 = - /2 = ½ = U 4984 ) ) -t. 4984 )

). = - t 0 = - t t= t = / d= t ½ t 2 d=. ( / ) ½ ( / ) 2 d= 2 / - 2 /2 d= 2 /2 d 1 = 1 2 /2 d 2 = 2 2 /2 1 > 2 1 2 > 2 2 1 2 / > 2 2 / d 1 > d 2 4986 ) ) u 1 = a t 1 U 2 =a t 2 = a.2 t 1 = 2. a t 1 = 2 u 1 4986-9015-5517-9436 ) ) W 1 = -m.gh <0 W 2 = 0 W 1 < W 2

4989-9023 ) ) 4989 ) ). 1 : s 1 = E 1 = ½. = ½ 1.t 1 = 1.t 1 2 : s 2 = E 2 = ½. = ½ 1.t 1 s 1 = ½ s 2 4990-9029

) ) = - = (-40) -0 = -40 m 4990-9023 ) A )... -= W = F. x = F. x ½ m u 2 = F. x - = W = F. x = 4F. x ½ m u 2 = 4F. x ½ m u 2 =4. ½ m u 2 u 2 =4 u 2 u =2 u 4993-9049 ) A ). = mgh. <mgh

4993-9049-9150-9589 ) ). S A = E A = ½. = ½ 1.t 1 S B = E B =. = 1.t 1 =2 S A 4995-9052 ) A ) K =.t. - t. - t 1 > 2 1 > 2

4995-9029-9447 ) ) 0-t 2 F>0,. t 2 F. t 2. 4996-9169 ) ) ( ) = ( ) U A + K A =U B +K B 0 + ½ m 2 = mgh +0 = 2.gh = 2.gh = 2.g2h= 2. 2.gh = 2. = ½ m 2 =½ m 2 = ½ m ( 2 ) 2 = 2. ½ m 2 = 2.K

4998 ) ) m A >m B m A /m B >1 K A = ½ m A u 2 = m A >1 K A > K B K B ½ m B u 2 m B 4998-9089-9093 ) ) A F>O. 2 >0,. 5043

) ) W 1 = -mgh W 2 =mgh 5043-5328 ) ) ( ) = ( ) U A + K A =U B +K B 0 + ½ m 2 = mgh +0 2 = 2.gh 2 = 2.gh (2 ) 2 = 2.gh 4 2 = 2.gh 4. 2.gh =2.gh h =4h 5044

) ) 1 = 1.t 2 = 2.t 2 > 1 2.t > 1.t 2. > 1 5044 ) ) W 1 = -mgh W 2 =mgh W = W 1 + W 2 = -mgh + mgh=0 5046 ) ) =.t t = / = 1190/340 = 3,5 s

5046 ) ). = - t 0 = - t t= t = / d= t ½ t 2 d=. ( / ) ½ ( / ) 2 d= 2 / - 2 /2 d= 2 /2 d 1 = 2 /2 1 d 2 = 2 /2 2 F=m. m 1 1 = m 2 2 m 1 / m 2 = 2 / 1 >1 2 > 1 1/2 2 < 1/2 1 2 /2 2 < 2 /2 1 d 2 < d 1 5047 ) )...

-= W ½ m 2 ½ m 2 = W 1 : ½ m 20 2 ½ m 10 2 = W 1 W 1 = 150m I : ½ m 30 2 ½ m 20 2 = W 2 W 2 = 250m W 2 > W 1 5047 ) ) ( ) = ( ) U A + K A =U B +K B 0 + ½ m 2 = mgh +0 2 = 2.gh 2 = 2.gh (2 ) 2 = 2.gh 4 2 = 2.gh 4. 2.gh =2.gh h =4h h/h = 4 5050 ) ) = = ½. = ½ t 1 = < 1 < ½. ½ t 1

5050-5259 ) ) F= F 1 2 +F 2 2 = 3 2 +4 2 = 25= 5N F= m. a a = F /m = 5/2 =2,5 m/s 2 5052 ) ) s= 1 + 2 2 5052-9644

) ) 1 : F=m 1.a F-T= m 1.a 2 : F=m 2.a T= m 2.a T= m 1.a F- m 1.a= m 1.a F= 2. m 1.a F= 2.T 5060-9160 ) ) F= w=m.g g= w/m h = ½ g t 2 t= 2h/g h g,. 5060-9160

) ) = / t= -0 /(4-0) = /4 = / t= -5/(4-0) = -5/4 > 5065-9148 ) ) 1 W 1 = U 1 - U 1 = mgh -0=mgh 2 W 2 = U 2 - U 2 = mgh -0=mgh = W 1 5065-9148 ) ) 0<t<t 2 F>0 >0

t>t 2 F=0 =0 5068 ) 100J = + U = + U = 0 + 80 =80 J = + U 80= 20 + U U =60 J = + U 80= + 40 =40 J = + U 80= 80 + U U =0 J 5068 ) ) m M >m A F M =F A ( - ) F M =F A m M =m A m M / m A = / >1 >

5072 ) ) 1 W 1 = U 1 - U 1 = mgh -0=mgh 2 W 2 = U 2 - U 2 = mgh -0=mgh = W 1 = W... - = W = + W 5072 ) ) 0<t<t 2 F>0 >0 t 2

5076 ) ) = ½ m u 2 =1J = K -= ½ m (2u) 2 -½ m u 2 = 4. ½ m u 2 -½ m u 2 =4 - =3 =3.1= 3J 5076 ) ) u=. t t 1 u 1 =. t 1 t 2 u 2 =. t 2 = = 2-1 =. t 2 -. t 1 =. (t 2 -t 1 ) = t t 2 -t 1 t 2 -t 1 t 2 -t 1 F=m.a =

5082 ) ) = = ½ ( + ) = ½ (10+8).4 =36m 5082 ) )..., 1 = 2 1 = 2 - = W 0- = -.s K= T.s, s 1 =s 2

5090 ) ) = 6t=2t 2 2t 2-6t =0 2t(t-3)=0 t=0 t=3s 5090-5112-5125-5137-9589 ) ) = +U = U= mgh = 120J y=h/3, = h h/3 = 2h/3 U=mgH = 2/3 mgh =2/3.120 = 80J = +U 120 = +80 =40 J

5091-5332 ) ) x-t 5091 )... =0 - = W =F.x =0 =0 2 2 =2Fx= 2K 4 4 =4Fx= 4K

5099-5140-5405 ) ) F=0, F 1 >F 2 F=0 F 1 =F 2 + = F 1 -F 2 = 1 5099-5140-5188-5405-10084 ) ) F>0, W>0... =0 - = W =W>0

5102 ) ) x =½ at 2 5102-9077

) ). = - t 0 = - t t= t = / d= t ½ t 2 d=. ( / ) ½ ( / ) 2 d= 2 / - 2 /2 d= 2 /2 d 1 = 1 2 /2 d 2 = 2 2 /2 = (2 1 ) 2 /2 = 4 1 2 /2 = 4 d 1 5112 ) ) 0<t<t 1.

5119 ) ) = ½ m A u A 2 = ½ m(2u) 2 = ½ m 4u 2 =2mu 2 B = ½ m B u B 2 = ½ 2m(u) 2 = ½ 2mu 2 =mu 2 = 2. 5119 )

B) 5125 ) ). = - t 0 = - t t= t = / d= t ½ t 2 d=. ( / ) ½ ( / ) 2 d= 2 / - 2 /2 d= 2 /2 = 10 2 /2.2,5 = 20m 5137 ) ) = / t = (0-20) / (5-0) = -4 m/s2 = = ½. = ½ 5.20 = 50m

5146 1 F=0 F+N=B N= B-F N= 10-F F=0N N= 10-0=10N F=2N N= 10-2=8N F=6N N= 10-6=4N F=10N N= 10-10=0N 5146 ) ) = Z K A +U A =K Z +U Z U A =Kz mgh = ½ m u 2 u 2 =2gh u 2 =2.10.5 u 2 =100 u=10 m/s 5173

) ) =mg B = 10 g =0,5 g B > 5173 ) ) = F=0 F=B=mg P= W/t =mgh/t F =2 =2mg P = W /t =2mgh/t =2 =2.2=4W 5180-5404 ) ) 1-3s = =10m/s 1 F=0

5180-5404 ) ) F= m.a F-T=2.1=2N F =2F F = m.a F -T=2.3=6N F -T- F+T =6-2 F - F =4 2F-F=4 F=4N 5182 ) A ) >0

5182 ) ) Fx=m.a F 1 =m.a Fx= m.a F 1 -F 2 = m.a F 1 -F 1 /3= m.a 2 F 1 /3= m.a 2 m.a/3= m.a a =2 a/3 5184-10166 1 h=180m, U=mgh= 2.10.180=3600J,K=0, E=K+U=3600J 2 h=80m, U=mgh= 2.10.80=1600J,, E=K+U=3600J= K+ 1600 K= 2000J = ½ mu 2 K= ½ 2 u 2 u = K u = 2000 m/s 3 h=0m, U=mgh= 2.10.0=0J,, E=K+U=3600J= K+ 0 K= 3600J, u = K u = 3600 m/s= 60 m/s

5184 ) ) s 1 = ½ a t 1 2 S 2 = ½ a t 2 2 = ½ a (2t 1 ) 2 = 4. ½ a t 1 2 = 4 s 1 5188 ) ) =.t =6.t =6 m/s = ½ t 2 X= 2t 2 ½ = 2 = 4 m/s 2 H = t =4t 4t=6 t= 6/4 =1,5 s

5190-9133 ) ) U= mgh = E-U K=E- mgh 5190-9133 )

5200 ) ) A = W 4 - =W W= 3 5200 ) ) F = m.a F 1 -B=m.a F 1 -mg= mg/2 F 1 = mg+mg/2 F 1 =3mg/2 F = m.a -F 2 = m.a mg F 2 =mg/2 F 2 = mg-mg/2 F 2 =mg/2 F 1 =3 F 2

5213 ) ) F= m.a F-B=m.a F-mg= mg/3 F=mg+mg/3 F=4mg/3=4B/3 5213 ) I ) = = 5/1,2 = 25/6 m/s 2

5216 ) ) F= m.a F= 4m 2F= m a 2.4m = (m+3m) a 8m=4m a a = 2m/s 2 5216 ) ) W=E = ½ ( + ) = ½ (5+8).10= 65 J A = W -0 =W =65 J

5221 ) ) F= m.a F= m u/ t 5221-10081 ) ) F= m.a F=2.2=4 W=F. = 4.4=16J

5263 ) ) 1 = 50/1=50 m/s 1 = 200/10=20 m/s 5263 ) ) F= m.a F 1 -B= m.a F 1 -mg=m.a F 1-10.10=10.2 F 1-100=20 F 1 =120N F= m.a -F 2 +B= m.a - F 2 +mg=m.a -F 2 +10.10=10.2 -F 1 +100=20 F 2 =80N F 1 > F 2

5276 ) ) S A = ½ ( 3u o +u o ) t 1 = 4u o t 1 /2 S B = u o t 1 /2 S A = 4 S B 5276 ) ) A = W K =W ½ mu 1 2 =F.x 1 = W K =W ½ mu 2 2 =F.x 2 ½ mu 2 2 = 4 F.x 1 ½ mu 2 2 = 4½ mu 1 2 u 2 2 = 4u 1 2 u 2 =2. u 1

5289-5406 ) ) 3 5289-5406 ) ) 1 h 1 = ½ gt 2 = ½ g 2 h 2 = ½ gt 2 = ½ g 2 2 = ½ g.4 =4h 1 h 1 2 4

5323-9094 y = y y. y =0, 5323-9087 ) ) ( ) = ( ) U A + K A =U B +K B 0 + ½ m 2 = mgh +0 2 = 2.gh 2 = 2.gh 2 = 2.gh 2 = 2.g2h 2 =4.gh 2 =2 2 =

5325-9080-9101 ) ) -t > > > t> t > 5326-9084 ) ) W=0

5326-5333-9080 ) ) 2 = / t= 1 /t 1 1 = / t= 2 1 /t 1 = 2 2 5328-9087 ) ) =0, = t

5329 ) ) = 72km/h = 72.1000/3600= 20 m/s = B 5329-9084 ) ) 0-t1,,,

5330-9093 ) ) = - t 5330 ) ) F= m.a F-T=m.a F= m.a+t F= m.a 2F-T = m.3.a 2ma +2T= 3ma 2T= ma T=ma/2 T= F/2

5333-9099 ) ) =, 1 F=0 F-T=0 F=T=40N O Q/ t =P T =T.u = 40.4=160 J/s 5334 ) ) -t > > > t> t >

5334-9099 ) ) A = W -0 =W ½ mu 2 =F.x = W -0 =W ½ mu 2 =F.x ½ m(2u) 2 = F.x 4 ½ mu 2 = F.x 4 F.x= F.x F =4 F 5336-9105 ) ) =g.t =

5336-9110-10083 ) ) = ½ muo 2 uo 2 = K/2m uo= K/2m u = uo-at 1 0=uo- at 1 at 1 = uo t 1 = uo/a t 1 = K/2m /a 4 4 = ½ muo 2 4 ½ muo 2 = ½ muo 2 uo 2 = 4 uo 2 uo = 2 uo t 2 = 2uo/a t 2 = 2 K/2m /a t 2 = 2 t 1 5337 ) ) W=E = ½ ( + ) = ½ (3 + ) Fo= ½ 4x Fo= 2 x Fo

5338-9110 1 F 2 3. 4. 5338 ) ) = ½ ( + ) t 1

= ½ ( + ) t 1 =2 > W A =- F A X A W = F X W A < W 5339 F 5340-9116 ) ), g <g < 5340

) )... =0 - = W - =W - =-.s K=T.s s = K/T META... =0 - = W -2 =-W -2 =-.d 2K=T.d d = 2K/T d=2.s 5401 ) ),,. 5401 ) ) F=m.a F 1 = m.a F =m.a F 1 - F 2 = m. a F 1 - F 1 /3= m. a 2F 1 /3= m. a 2 m.a/3= m. a a =2a/3

5510 ) ) 5512 ) b ). = - t 0 = - t t= t = / t 1 = / t 2 =2 / =2t 1

5514 ) ) = ½ m B u 2 = ½ 3m u 2 = 3 ½ m u 2 =3K A 5514-9595 ) ) F=m.a a 1 = F/m, a 2 = ½ F/m = ½ a 1 X 1 =x 2 ½ a 1 t 1 2 = ½ a 2 t 2 2 a 1 t 1 2 = ½ a 1 t 2 2 t 2 = 2. t 1 u 2 = a 2 t 2 = ½ a 1 2. t 1 = 2 u 1

5515-9436-9574 ) ) W>0 0-15 s..., 6154 ) ) =U=mgh =120J h/3 y= h-h/3 =2h/3 U= mgy = 2mgh/3 = 2.120/3 =80 J = +U 120=K+80 K=40J 8996

) ) = = 20- (40)= -20 m 9011 ) ) m, F. -=W 0-K = - Fx - ½ mu 2 =-Fx x=½ mu 2 /F > > 9020 ) ) t 1 : u 1 = at 1 t 1 : u 2 = at 2 = 2 at 1 =2 u 1

9020 ) ), F. -=W 0-K = -Fx - =- Fx x= /F 1 = 2 9052-9102-9173 ) ) 2 = / t= 1 /t 1 1 = / t= 2 1 /t 1 = 2 2 F 1 =F 2 m 1 a 1 =m 2 a 2 m 1.2a 2 =m 2.a 2 m 2 =2m 1

9074-9169 ) ) = ½ (2 + ) t 1 = 3 t 1 /2 = t 1 = 3 /2 9077-9169 ) ) F = m 1.a =m 2.a/2 m 1. =m 2 /2 9089-9172

) ) to=0 xo=0 t 1 =0,5s x 1 =12,5cm t= t 1 -to=0,5-0=0,5s = 1 - = 12,5-0=12,5 cm = / t = 12,5/0,5= 25 cm/s 9095-9173 ) ), = 1 = 2 9095 ) ) F= m.a F=m.a a= F/m a =2F/m = 2a F= m.a F=m.a F= m.a F- =m.a F-F/2=m.a a = F/2m= a/2

9096 ) ) 9096 ) ) 2 = / t= 1 /t 1 1 = / t= 2 1 /t 1 = 2 2 F 1 = m 1.a 1 = m 1.2 a 2 = 1 F 1 = F 2 F 2 m 2.a 2 2m 1. a 2

9101 ) ) = ½ mu 2 = = ½ m(2u) 2 = 4 ½ mu 2 =4 = = 4 - =3 9102-9175 ) ),,. 9107

) ) to W=E = ½ ( + ) = ½ [ (2 - )+ 3 ]Fo = ½ 4x.Fo= 2Fo.x 9107-9175 ) ) t 1 = 0-1s s 1 = ½ a t 1 2 s 1 = ½ a t 2 = 0-2s s 2 = ½ a t 2 2 s 1 = 2. a s= s 2 -s 1 = 2.a-a/2= 3a/2 = 3s 1 9116 ) ) =.t 1 A = 3.t 1 = 3

9136-10078 ) ) =5t = t = 5m/s 9136 ) ) F=m.a F 1 -F 2 =ma 1 F=m.a F 2 =ma 2 F 2 =2 ma 1 F 2 =2(F 1 -F 2 ) F 1 = 2 F 2

9150 ) ) g > g g / g >1 h= ½ g t 2 h= ½ g t 2 ½ g t 2 =½ g t 2 t 2 / t 2 = g / g >1 t / t >1 t > t 9153 ) ) g =6,25 g mg =m6,25 g =6,25B F= m.a F= m.a = m.a a = a

9153-9604 ) ). 1 = 1 = ½ = ½ ((10).20 =100 m 2 = 2 = ½. = ½ (30-20) 5= 25 m = 1-2 = 100-25= 75 m s = 1+ 2 = 100+25= 125 m 9158

) ) = g =m.g g >g B DIA > 9158 ) ) = ½ m 2 = = ½ m (2 2 ) = 4. ½ m 2 =4 = - = 4 - = 3 9167 ) B =-= 2 - = 40-(-40)= 80 m

9167 ) B ) 0-1 W 1 = ½ Fo.x 1 1-2 1 W 2 = O 2 1-3 1 W 2 =-½ Fo.(3x 1-2x 1 )= -½ Fo.x 1 W=W = W1+W2+W3= ½ Fo.x 1 +0 -½ Fo.x 1 =0 A = W -0 =W K =0 9330 ) B

9330 ) ) 1 = 20m/s 2 u 1 =a 1 t 1 = 20m/s a 2 =0, u 2 =20m/s 3 = -10m/s 2 u 3 =u 1 -a 1 t 3 0= u 1 -a 1 t 3 t 3 = 2s t=4s, t=3s, 9334 ) ) = = ½ ( + ) = ½ ((20-10)+30).30=600m

9334 ) ) F=0 100. 100 F 9444 ) ) = F=0 F-T=0 F=T F=. F=.mg W= F.S =.mg.s

9444-9617 ) ) =5t a= 5m/s 2 = F=m.a = 9447 ) ) F=m.a F 2 +F 2 = m.a 2F 2 = m.a 2. F = m.a a= 2. F / m

9451 ) ) F=m.a F 2 +F 2 = m.a 2F 2 = m.a 2. F = m.a a= 2. F / m a= 2. mg / m a= 2. g 9451 ) ) 0-2m W>0 =2 m. =2m

9455 ) ) 9455 ) ) = F=0 F-T=0 F=T =F. =

9463 ) ) = F=0 F-T=0 F=T 9463 ) ) = F=0 F- =0 F= =Mg P F =F.u= Mg.u

9467 =0 F=0 F- =0 F= =Mg= 100.9,5=950 9471 9471 ) ) = F/m =T/m mg/m = g t=uo/a = uo 2 /2.a

9475 ) ) = F-T/m, = F /m 9475 ) ) ( ) = ( ) U A + K A =U B +K B K A = mgh ( ) = ( ) U A + K A =U +K K A = ½ K A + mgh ½ K A = mgh ½ mgh= mgh h= ½ H 9514

) ), 9514 ) ) F x = F. 60 = ½ F, W= ½ F.x 9515 F-T=m.a 5-T=2.m

F-T=m.a 15-T=6.m 10=4.m m= 2,5 kg = 5-2.2,5=0 F =m.a = F/m = 10/2,5= 4m/s 2 = 20/2,5=8 m/s 2 9516 ) ) h= ½ gt 2 = ½ 10.1 2 = 5m H= ½ G t 2 5 = ½ G 2 2 G= 2,5 m/s 2 9516 ) ) ( ) = ( ) U A + K A =U B +K B mgh= ½ m u 2 u 2 = 2gH = u/2 2 = u 2 /4 = ½ gh ( ) = ( ) E=U z +K z mgh= ½. ½ mgh+ mgh H- ¼ H= h h= ¾ H

9572 = t a= u/t=4/1= 4 m/s 2 x= ½ a t 2 = ½ 4.1= 2m = t= 4.2= 8 m/s x= ½ a t 2 = ½ 4.4= 8m = t t=16/4= 4s x= ½ a t 2 x= ½ 4.16=32m 9572 ) ) u= g.t u = g (t-1) u= u-u = g (t-1) - g.t= g =

9573 ) ) W 1 = mgh >0 W 2 =0 W 1 > W 2 9573-5517 ) ) =. = mg

9574 ) ) = = 10-5/t X= = ½ ( + ) = ½ (5+10). t 9576 ) ) F=m.a B=ma mg=ma a=g u=gt,

9576 ) ) S= E= ½. = ½ 40.20=400m =s/t=400/40=10 m/s 9579 ) ) W 1 = F 1. x= 10.2=20J

W 2 = ½ F 2. x= ½ 10.2=10J < W 1 W 3 = ½ F 3. x= ½ 10.2=10J= W 2 9581 =ut u= x/t = 20/10 =2 m/s = =ut= 2.5=10m =ut= 2.15=30m 9585 ) ). = + t 3 = + t t=2 t = 2 / d= t + ½ t 2 d=. (2 / ) + ½ (2 / ) 2 d= 2 2 / + 2 2 / d= 4 2 /

9589-6154 ) ) = t + ½ t 2 = 5t + 2 t 2 = 5m/s = 4m/s 2 = + t = 5+ 4.5 =25 m/s 9595 ) ) 0-3s u 1 =E=. = 4.2=8 m/s 2-4s u 2 =u 1 =8 m/s 4-6s u 3 = E=. = -2(6-4)=-4 m/s 9598

) ) h = ½ g t 2 h = ½ g t 2 ½ g t 2 = ½ g t 2 g t 2 = 1/6 g t 2 6 t 2 = t 2 t = 6 t t > t 9604 ) ) B =m.g = mg = 6,25 m.g =6,25 B 9607 ) ) 1

9607 ) ) = + t+1/2 at 2 =0, =5m/s, =16m/s 2 9614 ) ) h = ½ g t 2 g= 2h/ t 2 =2.2/1= 4 m/s 2 9614-9659-5512

) ) W 1 = 20.1=20J, W 2 =0, W 3 = -10.1=-10J W o = W 1 +W 2 +W 3 =20+0-10=10J >0 9617 ) ) = -=0-0=0 9623 ) ) F=0 F-T=0 T=F=10N F= m.a 2F-T=m.a 2F-F=m.a F=m.a 10=0,5a a=20m/s 2 9623 ) ) W=E = ½ ( = ½ 20.2 =20J

9627-10082 ) ) H F 9627 ) ) F 1 = m.a a =F 1 /m, s= ½ at 2 s= ½ F 1 /m.t 2, W 1 =F 1.s= ½ F 1 2 /m.t 2 F 1 +F 2 = m.a a = F 1 +F 2 /m, s = ½ at 2 s = ½ F 1 +F 2 /m.t 2, W 1 =F 1.s = ½ F 1. F 1 +F 2 /m.t 2 > W 1

9633 ) ) F 1 = m.a a =F 1 /m = u/ t = 4/4=1m/s 2 F 2 = m.a a =F 2 /m = 8/4 = 2m/s 2 =u/ t t= u/a = 8/2= 4 m/s 2 9633-9654 ) ) E 1 = W 1 = F 1.x F 1 >F 2 E 1 >E 2 E 2 = W 2 = F 2.x

9638 ) ) 0-t 1 t 1 -t 2 F=0 t 2 -t 3 9644 ) ) A = W -0 =W +WF =F.h-B.h =F.hmg.h =30.5-2.10.5 =50J

9651-10077 ) ) 1 = 2 ½ a 1 t 1 2 = ½ a 2 t 2 2 F 1 /m 1 =F 2 /m 2 F 1 /m 1 =F 2 /2m 1 F 2 =2F 1 9651-10077 ) )... 1 = 2 ½ t 2 =ut ½ at=u at=2u =2u

9654 ) ) 9656 ) ) F=0 F-B=0 F=mg=40.10=400N 9656

) ) y= ½ gt 2 = ½ 10.2 2 = 20m y= uot+ ½ gt 2 10 = 2uo+20 2uo=-10 uo=-5 m/s ( 9659 ) ) u=gt P 1 =B.u 1 = mggt 1 P 2 =B.u 2 = mggt 2 =2 mggt 1 = 2P 1 10078 ) ) F=m.a F 1 -F 2 =m.a 2F 2 -F 2 =m.a F 2 =m.a a = ½ F 1 /m = F 1 /m= ½ a

10079 ) ) W 1 = 10.x, W 2 =-10(2x-x)=- 10x W = W 1 + W 2 = 10-10 =0 10079 ) ) u 1 =gt 1, u 2 =gt 2 =2gt 1 =2u 1

10080 ) ) F= m.a = m u/ t = m(0-u)/ t= -mu/ t 10081 ) ) F=m.a F=10m F = m.a a = F / m= 20m/m = 20 m/s 2 10081

) W=E = ½. = ½ 20.2=20 J 10082 ) ) 1 - =W =F.x 1 1 =F.x 1 2 - =W =F.x 2 2 =4F.x 1 = 4 1 10083 ) ) = / t= 6/6= 1m/s 2 = F/m = F 1 /m = 2F/m = 2 m/s 2 = / t = 6 / t t =6/2= 3s

10084 ) a ), t=15s 10085 ) a ) 1 = 10.1 =10km 1 = 20.(3-2) =20km = 1 + 2 = 30 km u= / t= 30/3= 10 km/h

10085 ) a ) F=0 F- T=0 F=T F=. F= mg F 1 = m 1 g F 2 = m 2 g = 2m 1 g= 2F 1 10094 ) ) 1 = ½ 1 t 2 2 = ½ 2 t 2 2=4 1 ½ 2 t 2 = 4. ½ 1 t 2 = 2 2 = 4. 1 10097

) ) 1 = ½ (10+20).30= 450 m 2 = ½ (30-20)(-30)= -150 m = 1 + 2 = 450-150=300m 10106 u= a.t, x = ½ at 2 t=2 u=2.2= 4m/s x= ½ 2 2 2 =4m t=4 u=2.4=8m/s x= ½ 2 4 2 = 16m t=6 u=2.6=12 m/s x= ½ 2 6 2 =36m t=8 u=2.8=16 m/s x= ½ 2 8 2 =64m h -t 10106

) ) h= ½ gt 2 h= ½ g t 2 ½ gt 2 =½ g t 2 gt 2 = g (3t) 2 g t 2 = g 9t 2 g = g/9 10111 ) ) =.t = + t =.t = + t.t - t =. - = /t F/m A F/ m B = /t 1/m A 1/ m B = /t F 1/m A 1/ m B >0 1/m A >1/ m B m A < m B 10111 )

) 1 = 20-10/5 =2 m/s 2 a 2 = 0-20/10=-2 m/s 2 =a 1 10114 ) )u =uo + at 3uo= uo + at at =2uo a= 2uo/t 10122 ).. -= W K-0 = F.x K = F.x X=0 K=0 2x K=2Fx=2K 3K= Fx 3Fx= Fx x = 3x 4x = F4x=4K

10126 ) ) 10130 ) )F-T=m.a F= ma+t=

10134 ) ) h 1 =h 2 mgh 1 =mgh 2 mgh 1 =2mgh 1 E 1 =2E 1 K 1 =2K 1 =K 2 10136 ) ) =36 km/h = 36.1000/3600= 10m/s = 1 cm/s = 10-2 m/s = 1/100 m/s / =1000 10136

) ) 1 F-T = m 1.a T=m 2.a F=(m 1 +m 2 )a 2 F-T = m 2.a T =m 1.a F=(m 1 +m 2 )a = 10162 ) )x= xo +ut X= 10+5t u=5m/s 10205 ) )... -= W -= -Fx = Fx,

10205 ) ) ( ) = ( ) U A + K A =U B +K B U= K A -K B U= K-K B U= K- ½ m (u/2) 2 U= K- ¼ ½ m (u) 2 U= K- K/4 U= 3K/4 10210 ) ) ) ) =.t = + t =.t = + t.t - t =. - = /t F /m F / m = /t F F = m /t F F = m /t >0 F > F

10211 u=at t=0 u=4.0=4 m/s, t=2 u=4.2=8 m/s t=4 u=4.4=16 m/s t=6 u=4.6=24 m/s, t=6s 10699 ) ) = ½ m A u A 2 = ½ m M u M 2 4 m M u A 2 = m M u M 2 4 u A 2 = u M 2 2 u A = u M u A / u M = ½

10699 ) ) t ua>ub ua/t>ub/t aa>ab maa>mab Fa>Fb 10700 ) ) F 2 = Fx 2 +Fy 2 F 2 = (o,8f) 2 +Fy 2 F 2 = 0,64F 2 +Fy 2 F 2-0,64F 2 =Fy 2 0,36 F 2 =Fy 2 Fy=0,6F

10701 ) ) H = + = u 1.t 1 + (-u 1 ) (2t 1 -t 1 ) = u 1.t 1 - u 1.t 1 = 0 10701 ) ) ( ) = ( ) U A + K A =U B +K B K A = U B 2K = U B (Z) = (M) U Z + K Z =U M +K M K Z = U M K = U M 2 U M = U B 2 mgh= mgh h = 2H

10702 ) ) ( ) = ( ) U A + K A =U B +K B U A =U B =0 K A = K B = ½ muo 2 10703 ) ) 0-t 1 a 1 =u 1 /t 1 t i -t 2 2 = (0-1 )/ t 3 -t 2 2 = - 1 / 2,5t 1-2t 1 a 2 = -2u 1 /t 1

10703 ) ) K = W K 0= W K=W K= F.x K = W K 0= W K =W K = F.x =2 F.x=2 10704 ) ) F= ma F-B=m.a 3B/2 B =m.a B/2= ma mg/2=ma a= 0,5g

10704 ) ) W A = mgh A = h A W B mgh B h B 10712 ) ) F= ma F 1 -F 2 -T=m.a 10-6-2=0,5 a 2=0,5a a= 4 m/s 2

10712 ) ) P A = W A / t = m A gh/ t = m A >1 P A > P P W / t m gh/ t m 10713 ) ) F=0 F-T=0 F=T B/5 =. B/5=. =1/5 =0,2 10791 )

) P A = W A / t = m A gh/ t = m A = 2 m =2 P A = 2P =2.2=4 k W P W / t m gh/ t m m 10792 ) a ) F= m.a F 1 -B=m.a F 1 = mg+ma F= m.a F 2 -B=m.a F 2 = mg+ma= F 1 10794 ) a ) F=0 Fx=T Fx.s=T.s W F =W T F Fx

10794 1 = uot + ½ at 2 4= uo+ ½ a X 2 = uot + ½ at 2 12= uo+ 2 a a= 4m/s 2 uo= 2m/s u 1 = uo+at= 2+4.1= 6m/s u 2 = uo+at= 2+4.2= 10m/s 10796 ) ) x= ½ at 2 4= ½ a 2 2 a = 2m/s 2 u=at 2.2= 4m/s

10797 ) ) F= m B.a B o - F= m.a m B.a B = m.a m B.a B = 2m.a a B = 2.a 10798 ) ) P 1 =F.u 1 =B.u 1 =mgu 1 =mg. gt 1 = P 2 =F.u 2 =B.u 2 =mgu 2 =mg. gt 2 =2 mg. gt 1 =2 P 1

10805 ) ) P A = W A / t= 4000/10= 400W P B = W B / t= 1600/4= 400W= P A 10805 ) ) u=at u=2t a=2 m/s 2 = F= 10807

) ) F=m.a F-B =mg/3 F=B+mg/3 F= mg+mg/3 F=4mg/3 F=4B/3 10812 ) ) x = uot + ½ at 2 x= 10t -2t 2 uo=10m/s a=4 m/s 2, u=uo-at= 10-4t 10820 ) ) x 1= ½ at 1 2 x 2= ½ at 2 2 x 2= ½ a(2t 1 ) 2 x 2=4. ½ at 1 2 x 2=4. x 1 x 2=4.10=40m 10820

= W K = F. x K= F. x K= F(x-xo) =F.x 10825 ) B ) h A = ½ gt A 2 h A = ½ g(2t B ) 2 h A =4. ½ g(t B ) 2 h A =4 h B h B = ½ gt B 2 10826 ) B ) F=0 F=T N=B F N = 2 + 2 = 2 + 2 = 2

10827 ) B ) ( ) = ( ) U A + K A =U B +K B 0 + mgh= K+0 K =mgh 0 + mgh = K +0 K =mgh =2mgh =2K 10837 ) ) = ½ u o.t 1

10838 ) ) 1 = F=0 F=T = N = mg 1 + 2 = F =0 F =T = N = mg = 2 mg= 2F 10839 ) ) = F=0 F=T = N = mg = F =0 F =T = N = mg = 2 mg= 2F 10839

) ) 10840 ) ) = = ½ F.x = ½ 180.1 =90 cm t

10841 ) ) = / t= 2-1 /t 2 -t 1 =12-4/6-2=8/4=2 m/s 2 10843 ) ) = W K = F. x K= F. x ½ m A u A 2 = F. x 2000 u A 2 = F. x = W K = F. x K= F. x ½ m u 2 = F. x 500 u 2 = F. x 2000 u A 2 =500 u 2 u 2 = 4 u A 2 u = 2 u A

10845 ) ), F=0 F 1 -F 2 -T=0 5F-F=T =4F mg=4f =4F/mg 10846 ) ) 0-2s a=4m/s 2 u=at= 4.2=8m/s x= ½ at 2 = ½ 4.2 2 = 8m 2-4s a=0 x=u.t =8.(4-2)= 16m 4-6s x=uot- ½ at 2 = 8(6-4)- ½ 2 (6-4) 2 = 16-4=12m X = 8+16-12=12m

10852 ) ) = W K = F. x K= F. x = W K = F. x K = F. x K = F 60. x= ½ F. x = ½ 10852 ) ) =0,

10853 ) ) = U= mgh = ½ m u2 u 2 = 2gH u 2 =2gh u 2 /4= 2gh 2g H/4= 2gh H/4= h 10865 ) ) = F=0 F-T=0 F=T W B =W N =0, W F = F.Dx W T =-T.DX=-F.DX=-W F 10930

) ) =0 F= 30N, x=5m F=30-10=20N W= E = ½ ( + ) = ½ (30+20).5 = 125J 10930 ) ) u= x/t =30/2=15 m/s 10932 ) ) = ½ t 2 x= ½ a T / = t 2 = /2

10932 ) ) = +U E= 2U+U E=3U U=K/3 mgh= mgh/3 h=h/3 h=9/3 h=3m 10935 ) )u= s/ t= 2,7.10 5 m/3h = 2700km/3h=90km/h =0 10935 ) ) 0-1 s x= ½ at 2 2= ½ a.1 2 a= 4m/s 2 F=m.a m= F/a=64/4=16kg... -=W K-0=W K=W=E = ½ ( + ) = ½ (2+3).64= 160J