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2 months ago

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A compact car has a maximum acceleration of 4.0 m/s2 when it carries only the driver and has a total mass of 1200 kg . you may w

ant to review ( pages 108 - 109) . part a what is its maximum acceleration after picking up four passengers and their luggage, adding an additional 400 kg of mass?

2 answers:

inna [3.1K]2 months ago

4 0

Answer: The maximum acceleration will be 3.0 $m/sec^{2}$ .

Explanation: The force can be calculated using the following formula;

F = m. a;

(F - Force; m - mass and a - acceleration);

as provided in the question; mass (1) - 1200 kg; acceleration (1) - 4 $m/sec^{2}$

Substituting the values yields,

F = $m_{1} a_{1}$ = 1200 X 4 = 4800 N; hence, F = 4800 N

Now, when an additional mass of 400 kg is incorporated, mass (2) will become 1600 kg and we need to determine the acceleration;

Here, the force remains unchanged; this can be equated;

$m_{1} a_{1}$ = $m_{2} a_{2}$ ;

So, 1200 X 4 = (1200 + 400) x $a_{2}$

Therefore, the result will be $a_{2}$ = 3.0 $m/sec^{2}$

inna [3.1K]2 months ago

3 0

<span>Let F represent the maximum thrust produced by the car's motor. Thus, F = ma = 1300 x 3.0 = 3900 N. After adding the load, F stays the same, leading to the equation F = 1700a, which results in a = F/1700 = 3900/1700 = 2.3 m/s².</span>

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