Question

in which of these examples is the greatest acceleration occurring? a 50 n 50 n b 75 n 50 n c 10 n 50 n d 100 n 100 n

Explanation:

Step1: Recall Newton's second law

$F = ma$, where $F$ is the net - force, $m$ is the mass and $a$ is the acceleration. For a constant mass, the greater the net - force, the greater the acceleration. Calculate the net - force for each case.

Step2: Calculate net - force for A

The two forces in A are equal in magnitude and opposite in direction. So the net - force $F_A=50 - 50=0$ N.

Step3: Calculate net - force for B

The net - force $F_B = 75-50 = 25$ N (assuming the positive direction is to the right).

Step4: Calculate net - force for C

The net - force $F_C=50 - 10=40$ N (assuming the positive direction is to the right).

Step5: Calculate net - force for D

The two forces in D are equal in magnitude and opposite in direction. So the net - force $F_D=100 - 100 = 0$ N.

Step6: Compare net - forces

Since $F_C>F_B>F_A = F_D$, the greatest acceleration occurs when the net - force is the greatest.

Answer:

C