A car is accelerating at a rate of 3.0m/s^2. If the net force is doubled and the mass is tripled, what will the new acceleration be? I want a good explanation please.
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No, I would not have guessed 9.0 meters per sec² because it isn't correct.
We know the formula relating force F, mass M and acceleration a is F = ma.
Then the acceleration a = F divided by M, or F/m.
If the present acceleration of the car is 3 meters/sec², doubling the force without
changing the mass will double the acceleration, so if the mass stays constant,
its acceleration will be 6 meters per sec². But if the mass is tripled, the acceleration
will be divided by 3, so the new acceleration will be 2 meters per sec².
We know the formula relating force F, mass M and acceleration a is F = ma.
Then the acceleration a = F divided by M, or F/m.
If the present acceleration of the car is 3 meters/sec², doubling the force without
changing the mass will double the acceleration, so if the mass stays constant,
its acceleration will be 6 meters per sec². But if the mass is tripled, the acceleration
will be divided by 3, so the new acceleration will be 2 meters per sec².
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Would you ever guess...9.0 meters/second^2
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