Question

newtons second law quick check
four movers pick up boxes. each box has a different mass, and each mover applies a different amount of force to lift the box. which box will have the greatest acceleration? (1 point)
○ a 10 kg box lifted with 40 n of force
○ a 20 kg box lifted with 60 n of force
○ a 10 kg box lifted with 60 n of force
○ a 20 kg box lifted with 40 n of force

Explanation:

Step1: Apply Newton's second law \(F = ma\) to find acceleration \(a=\frac{F}{m}\)

For the first option: \(m = 10\space kg\), \(F=40\space N\). Then \(a_1=\frac{40}{10}=4\space m/s^{2}\)

Step2: For the second option: \(m = 20\space kg\), \(F = 60\space N\). Then \(a_2=\frac{60}{20}=3\space m/s^{2}\)

Step3: For the third option: \(m = 10\space kg\), \(F = 60\space N\). Then \(a_3=\frac{60}{10}=6\space m/s^{2}\)

Step4: For the fourth option: \(m = 20\space kg\), \(F = 40\space N\). Then \(a_4=\frac{40}{20}=2\space m/s^{2}\)

Answer:

a 10 kg box lifted with 60 N of force