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Question
always use significant figure rules. remember that these rules apply to all numbers that are measurements. a force of 6n is exerted on a cart that is carrying a rock and produces an acceleration of 2 m/s². if the cart has a mass of 1 kg, what is the mass of the rock? mrock= kg 3 1 2 4
Step1: Aplicar la segunda ley de Newton
Según la segunda ley de Newton, $F = ma$, donde $F$ es la fuerza, $m$ es la masa total y $a$ es la aceleración. Sabemos que $F = 6N$ y $a=2m/s^{2}$. Entonces, la masa total $m_{total}$ se puede calcular como $m_{total}=\frac{F}{a}$.
Step2: Calcular la masa total
$m_{total}=\frac{6N}{2m/s^{2}} = 3kg$.
Step3: Encontrar la masa de la roca
Sabemos que la masa del carrito $m_{cart}=1kg$. Y $m_{total}=m_{cart}+m_{rock}$. Entonces, $m_{rock}=m_{total}-m_{cart}$. Sustituyendo los valores, $m_{rock}=3kg - 1kg=2kg$.
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