Question

You’re investigating a crash in which a 1640-kg Nissan Leaf electric car and a 3220-kg Toyota Land Cruiser SUV collided at right angles in an intersection. The combined wreckage skidded 20.8 m before stopping. You measure the coefficient of friction between tires and road and find it to be 0.697. Show that at least one car must have exceeded the 70-km/h speed limit at the intersection. You’ll need to consider each car separately, assuming that it was at the speed limit and finding the other car’s speed, which you should report in your answer. Assuming that the Nissan moved at the speed limit, find the Toyota’s speed.Assuming that the Toyota moved at the speed limit, find the Nissan’s speed.

Answer 1

1 =70X100 = 19.4 m/s let, M, may of Nissan = 1640 Let v be velocity of combined m = mass of toyota = 3220kg mass just after collision. d - Skidded listare = 20.8m By conservation of momentam HK = 0.647 My Unit Manuage = (m-ten) V[cossî +Shop] Also v v? - zad 3600 0 : 12 2ax 20.8 → V? 2x19x20.8 V=J2x.697x4.8*20.8 = 16.86 mis From momentun equatione 3220472 +1640 un i= 4860x16.80 [cosoa + sinoj] → 3224-7 H164 Un = 8194 (Cocoſ + sinon) → 32244 = 8194 cose = Uz = $10.4 Como 164 Un = 8194 Sono u n - 5194 sine 164** Urmar = 25.45 onls So either ų or un must have value greater than 19.4h/s Un mass=49.96 m/s. let - 19.6 ms. let u.- ibmis. then then Sing = sino = 19.4x1640 = 22.950 61.94 So corresponding value of Uta: 9194 x cos(22.65 23.45 nas If a 0= 40.30 Ut = 19.4 m/ then coso = 19.4*322 8194 and Corresponding value of Un = 32.3 m/s