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Mary is driving a car of mass 900 kilograms toward the north with a velocity of 22 meters/second. Danny is driving his
velocity of 15 meters/second toward the east. They collide and both cars move together afterwards. What is the mag
momentum of the cars after the collision?
A.
1.8 x 104 kilogram-meters/second
B.
2.0 x 104 kilogram-meters/second
C.
2.7 x 104 kilogram-meters/second
D. 2.4 x 104 kilogram-meters/second

Respuesta :

Answer:

D). 2.4 [tex]x10^{4} \frac{kg*m}{s}[/tex]

Step-by-step explanation:

Mary is driving toward north so the angle is 90° and Danny is driving toward the east so angle is 0°

Momentum Dary= [tex]900 kg* 22 \frac{m}{s}[/tex]

Momentum Danny= [tex]900 kg* 15 \frac{m}{s}[/tex]

So the total momentum is the magnitude:

Mag= [tex]\sqrt{(900 kg*22\frac{m}{s} )^{2}+(900kg*15\frac{m}{ys} )^{2}}[/tex]

mag= [tex]\sqrt{574290000}=23.96434852 x10^{3}[/tex]≅[tex]2.4 x10^{4}[/tex]

Answer:

d

Step-by-step explanation: