A constant force applied to object A causes it to accelerate at 6 m/s2. The same

Question

A constant force applied to object A causes it to accelerate at 6 m/s2. The same force applied to object B causes an acceleration of 3 m/s2. Applied to object C, it causes an acceleration of 9 m/s2.
Part A Which object has the largest mass? Enter A, B, C
Part B Which object has the smallest mass? Enter A, B, C
Part C What is the ratio of mass A to mass B?

A constant force applied to object A causes it to accelerate at 6 m/s2. The same force applied to object B causes an acceleration of 3 m/s2. Applied to object C, it causes an acceleration of 9 m/s2.
Part A Which object has the largest mass? Enter A, B, C
Part B Which object has the smallest mass? Enter A, B, C
Part C What is the ratio of mass A to mass B?


Part A Which object has the largest mass? Enter A, B, C
Part B Which object has the smallest mass? Enter A, B, C
Part C What is the ratio of mass A to mass B?

Explanation / Answer

ma = mass of A

mb = mass of B

mc = mass of C

aa = acceleration of A = 6

ab = acceleration of B = 3

ac = acceleration of C = 9

F = applied force

F = ma

m = F/a

Since the applied force is same , mass depends inversly on acceleration

hence greater acceleration implies smaller mass

Part A )

Object b has largest mass as it has smallest acceleration

Part B)

Object C has smallest mass as it has greatest acceleration

Part C)

ma/mb = ab/aa

ma/mb = 3/6 = 0.5

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