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12. directions select the correct answer. the table shows four differen…

Question

  1. directions

select the correct answer.
the table shows four different objects, their masses, and their acceleration. use the information in the table to determine which object experiences the greatest net force acting on it. (f=ma)
select the object in the table that has the greatest force acting on it.

objectmass (kg)acceleration (m/s²)
object b155
object c127
object d811

Explanation:

Step1: Calculate force for Object A

Using \( F = ma \), where \( m = 6 \, \text{kg} \) and \( a = 13 \, \text{m/s}^2 \).
\( F_A = 6 \times 13 = 78 \, \text{N} \)

Step2: Calculate force for Object B

Using \( F = ma \), where \( m = 15 \, \text{kg} \) and \( a = 5 \, \text{m/s}^2 \).
\( F_B = 15 \times 5 = 75 \, \text{N} \)

Step3: Calculate force for Object C

Using \( F = ma \), where \( m = 12 \, \text{kg} \) and \( a = 7 \, \text{m/s}^2 \).
\( F_C = 12 \times 7 = 84 \, \text{N} \)

Step4: Calculate force for Object D

Using \( F = ma \), where \( m = 8 \, \text{kg} \) and \( a = 11 \, \text{m/s}^2 \).
\( F_D = 8 \times 11 = 88 \, \text{N} \)

Step5: Compare forces

Compare \( F_A = 78 \), \( F_B = 75 \), \( F_C = 84 \), \( F_D = 88 \). The largest is \( F_D \).

Answer:

Object D