Question

Problems care for the car og man Molg is Propeted from rest by a spring with 2005 oy potential energy The Cá Collidesinelastically with a slond av og equal mass Together the cars rou up the hill and come to a stop Find the speed at A and at B. find the height h. A m 2 sit to Inelastic collisions of two lars as the final speed of the system sketched below. Find tano: Calculate in op: 1 o hope mis 1kg V = 3 m/s 1 mar.skg V2 = 8mys arronds. Calorimetry Two litres of water at T=70c. are added to 5 litres of k waliy, at 1 30.6. Find the final temperatured 4. An object shown in m A falls straight down to earth earth from a height h=R. figure. Find the speed of the impact.

Answer 1

sprung energy converted in Kroete energy a car. Amv 200 = £1) 02=200, Tv=20ml) v-at is the velocity of car just leaving the spring contact. collision Applying conservation of momentum - mu= (M +m) ~ 3 v = ² = 0 ī q= gomis , velocity after collision, for hill using mechanical energy conservation (for no friction ). get in assume at heighth car system becomes in resta - £22m) v² = (2mygh ) fg na W = (2032 - The zom ] Islao us Applying unservation of vizsmis I momentum o in indirection mu,= (M.Amay coso In y direction Mallz = (mitme) af sino 2=8ml se

3 Arvading both homoshp - " (мулю, у свом, у, for је = 85-1° final relocity = 7 — 15 ) trstes-11) (1 532 | - 6-60mls ) уху, (RAR) T- тоа , v = 2 ціло, f. = 30, V, 5kІ». let final Temperature become T and volume v. т- TV+Tv — (по уст)-(30)(5) +5 Т. 41.439 Гust food, g, ce(T, -т) = 0,(т-т] ® Energy At Az - Gimme Gaming Live (har Erosay ама – (пт. ++ - Eg - Ер -homm oft mv²=-6mm ) am veram tham - Сиз у(от оқу. (mm - ( го в 3 – бом: у 4 4shavka.

b graustational force = centriffetal force. (Rthe - Rth Tv- Jam for Assh (va som Energy in the ordet E= - Gmman R>> EE ty + 6mm. ZR This much of sergy is required to take the Satellite at E = + (Gm) me - FB ng ® T = mg.ro FB- Buoyancy force - FB = sw vg = 183X10) v- volume of body 90 (02(10)-10136 13 (10) VF 100-90= Home : 10-3 m Density of Object (8) = m = to ourz = 104 kg / m3 - Using equilibrium am) (a)= mc2-x) unak en 5x=Ł.