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Mathematical Conceptualization of Force, Mass, and Acceleration

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A 810-kg car accelerates from rest to 27 m/s in a distance of 120 m. What is the magnitude of the average net force acting on the car?

A 740 N
B 2500 N
C 91 N
D 1300 N
E 7900 N

Two forces act on a 4.5-kg block resting on a frictionless surface as shown (see attached file). What is the magnitude of the horizontal acceleration of the block?

A 1.8 m/s2
B 1.2 m/s2
C 0.82 m/s2
D 3.2 m/s2
E 8.9 m/s2

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This solution involves solving the magnitude of average net force and magnitude of acceleration.

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