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------------------------------------------------ How much force does a 6700 kg cart exert when it accelerates at a rate of [tex]84 \, \text{m/s}^2[/tex]?

Answer :

From Newton's second law of motion,
Force = mass * acceleration, in short
F = ma

From the current scenario, m = 6700 kg and a = 84 m /s^2

Therefore,
Force, F = 6700*84 = 562800 N = 562.8 kN
According to Newton's second law, the force is equal to the product between the mass and the acceleration of the object:
[tex]F=ma[/tex]
where m is the mass and a the acceleration.

For the cart in this problem, m=6700 kg and [tex]a=84 m/s^2[/tex], therefore the force is
[tex]F=ma=(6700 kg)(84 m/s^2)=5.63 \cdot 10^5 N[/tex]