Question

each figure below shows a force measured in newtons pushing on a block. if there are no other forces pushing on the block, in which case is the acceleration of the block greatest?
a 4 newtons 4 kilograms
b 1 newton 4 kilograms
c 4 newtons 1 kilogram
d 1 newton 1 kilogram

Explanation:

Step1: Use Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration) to find acceleration \(a=\frac{F}{m}\).

For option A: \(F = 4N\), \(m = 4kg\), so \(a_A=\frac{4}{4}=1m/s^{2}\).

Step2: For option B: \(F = 1N\), \(m = 4kg\), so \(a_B=\frac{1}{4}=0.25m/s^{2}\).

Step3: For option C: \(F = 4N\), \(m = 1kg\), so \(a_C=\frac{4}{1}=4m/s^{2}\).

Step4: For option D: \(F = 1N\), \(m = 1kg\), so \(a_D=\frac{1}{1}=1m/s^{2}\).

Answer:

C. 4 Newtons pushing on 1 Kilogram