Question

always use significant figure rules. remember that these rules apply to all numbers that are measurements. a force is exerted on a 4.0 - kg mass producing an acceleration of 3.0 m/s². if the mass were changed to 2 kg, the same force would produce how much acceleration on the object? a = m/s² 6.60 6

Explanation:

Step1: Calcular la fuerza inicial

Usando la segunda ley de Newton $F = m\times a$. Dado $m_1 = 4.0$ kg y $a_1=3.0$ m/s², entonces $F = 4.0\times3.0=12$ N.

Step2: Calcular la nueva aceleración

Como la fuerza es la misma $F = 12$ N y el nuevo masa $m_2 = 2$ kg. Usando $a=\frac{F}{m}$, entonces $a_2=\frac{12}{2}=6.0$ m/s². Pero considerando reglas de cifras significativas (ambos $m_2 = 2$ kg y la fuerza calculada con dos cifras significativas), el resultado es $6$ m/s².

Answer:

6