Would love some help with this question. I think I\'m doingmost of it right, but

Question

Would love some help with this question. I think I'm doingmost of it right, but my problem may be in keeping my signscorrect. Anyone mind walking through this with some emphasis on howpositive/negative signs should work? "Two vehicles are both traveling eastward. A compactcar (900kg) leads an SUV (1800 kg). The driver of the compact carbreaks suddenly, slowing the vehicle to 6.00 m/s. If the SUVtraveling at 18.0 m/s crashes into the compact car, find (a) thespeed of the system right after the collision, assuming the twovehicles become entangled, (b) the change in the velocity for bothvehicles, and (c) the change in the kinetic energy of the system,from the instant before impact (when the compact car is travelingat .00 m/s) to the instant right after the collision." Here are the answers to help anyone without the bookout: (a) 14.0 m/s (b)SUV: -4.0 m/s; Car: 8.0 m/s (c) -4.32 * 10^4J Would love some help with this question. I think I'm doingmost of it right, but my problem may be in keeping my signscorrect. Anyone mind walking through this with some emphasis on howpositive/negative signs should work? "Two vehicles are both traveling eastward. A compactcar (900kg) leads an SUV (1800 kg). The driver of the compact carbreaks suddenly, slowing the vehicle to 6.00 m/s. If the SUVtraveling at 18.0 m/s crashes into the compact car, find (a) thespeed of the system right after the collision, assuming the twovehicles become entangled, (b) the change in the velocity for bothvehicles, and (c) the change in the kinetic energy of the system,from the instant before impact (when the compact car is travelingat .00 m/s) to the instant right after the collision." Here are the answers to help anyone without the bookout: (a) 14.0 m/s (b)SUV: -4.0 m/s; Car: 8.0 m/s (c) -4.32 * 10^4J Here are the answers to help anyone without the bookout: (a) 14.0 m/s (b)SUV: -4.0 m/s; Car: 8.0 m/s (c) -4.32 * 10^4J

Explanation / Answer

Would love some help with this question. I think I'm doingmost of it right, but my problem may be in keeping my signscorrect. Anyone mind walking through this with some emphasis on howpositive/negative signs should work? "Two vehicles are both traveling eastward. A compactcar (900kg) leads an SUV (1800 kg). The driver of the compact carbreaks suddenly, slowing the vehicle to 6.00 m/s. If the SUVtraveling at 18.0 m/s crashes into the compact car, find (a) thespeed of the system right after the collision, assuming the twovehicles become entangled, (b) the change in the velocity for bothvehicles, and (c) the change in the kinetic energy of the system,from the instant before impact (when the compact car is travelingat .00 m/s) to the instant right after the collision." Here are the answers to help anyone without the bookout: (a) 14.0 m/s (b)SUV: -4.0 m/s; Car: 8.0 m/s (c) -4.32 * 10^4J
as you said your problem is only with signs
let me clarify regarding signs.
as far as velocity is concerned if you consider the rightward direction as positive left ward direction will benegative .

in part C -4.32 * 10^4 J the change in kinetic energyof the system is negative means there is loss of kinetic energy .if it is +ve there will be gain in the kinetic energy of thesystem .
hope this helps.
Here are the answers to help anyone without the bookout: (a) 14.0 m/s (b)SUV: -4.0 m/s; Car: 8.0 m/s (c) -4.32 * 10^4J
as you said your problem is only with signs
let me clarify regarding signs.
as far as velocity is concerned if you consider the rightward direction as positive left ward direction will benegative .

in part C -4.32 * 10^4 J the change in kinetic energyof the system is negative means there is loss of kinetic energy .if it is +ve there will be gain in the kinetic energy of thesystem .
hope this helps.

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