A car of mass m push = 1200 kg is capable of a maximum acceleration of 6.00 m / s 2. If this car is required to push a stalled car of mass m stall = 1750 kg, what is the maximum magnitude of the acceleration a of the two‑car system? a = 0.62 m / s 2

Question

Physics

Tamara Gamble

30 January, 06:08

A car of mass m push = 1200 kg is capable of a maximum acceleration of 6.00 m / s 2. If this car is required to push a stalled car of mass m stall = 1750 kg, what is the maximum magnitude of the acceleration a of the two‑car system? a = 0.62 m / s 2

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Johanna Bailey · Answer 1

1)

first you find the maxium force that the car can produce.

f=ma

Fmax = (1100kg) (6m/s^2)

then use f = ma again to find the accel with the passengers

Fmax = (1100kg + 1650kg) (a)

=> a = (1100kg) (6m/s^2) / (1100kg + 1650kg)

= 2.4 m/s^2