Question

A force gives an object of m, an acceleration of
12 m/s2 and an object of mass m, an acceleration
of 10 m/s2. The ratio of accelerations the force
would give to an object of mass m - m and
m₂ + m.

Answer 1

Answer:

ratio of accelerations = 11

Explanation:

a force gives an object of m1 an acceleration of 12m/s²and an object of mass m2 an acceleration of 10m/s²

F = ma

F = m₁ * 12

F = m₂ * 10

=> m₁ * 12 = m₂ * 10

=> 6 m₁ = 5m₂

=> m₁/m₂ = 5/6

( F/(m₂ - m₁) )/(F /(m₂+ m₁) )

= (m₂+ m₁)/(m₂ - m₁)

Diving numerator & denominator by m₂

=  (1 + m₁/m₂)/(1 - m₁/m₂)

= ( 1 + 5/6)/(1 - 5/6)

= (11/6)/(1/6)

= 11

ratio of accelerations = 11

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