Question

Two bicyclists are accelerating forward in a straight line and Biker 1 has less mass than Biker 2. If the net force on the bikers is the same, which statement describes their acceleration?

Answer 1

Answer:

B

Explanation:

f = m x a

if f is fixed

a increases as mass decreases

so lighter biker biker1 accelerates faster

Answer 2

Biker 1 has a greater acceleration than biker 2 is the correct statement.

Given:

Let m₁ and m₂ be the mass of biker1 and biker2.

m₁<m₂

the net force is the same for biker 1 and biker2

To Find:

which statement describes their acceleration?

Solution:

As the net force is the same

F₁ = F₂

m₁a₁ = m₂a₂

m₁/m₂ = a₂/a₁

From the above equation, m∝1/a

As m₁<m₂ then a₁>a₂

Therefore, Biker 1 has a greater acceleration than biker 2 is the correct statement.

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