Question

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A force of 20N accelerates a ball of mass m1 to 4m/s2 and accelerates another ball of mass m2 to 10m/s2 . Find the masses of each ball​

Answer 1

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Answer 2

SOLUTION

GIVEN

A force of 20N accelerates a ball of mass m₁ to 4 m/s² and accelerates another ball of mass m₂ to 10 m/s²

CONCEPT TO BE IMPLEMENTED

Newton's Second law :

Force = Mass × Acceleration

TO DETERMINE

The masses of each ball

EVALUATION

Here it is given that a force of 20N accelerates a ball of mass m₁ to 4 m/s² and accelerates another ball of mass m₂ to 10 m/s²

For mass m₁ :

Force = F = 20 N

Mass = m₁

Acceleration = a = 4 m/s²

Now we have

Force = Mass × Acceleration

$\displaystyle \sf{ \implies \: F = m_1a }$

$\displaystyle \sf{ \implies \: 20 = m_1 \times 4 }$

$\displaystyle \sf{ \implies \: m_1 = 5}$

Mass of first ball = 5 kg

For mass m₂ :

Force = F = 20 N

Mass = m₂

Acceleration = a = 10 m/s²

Now we have

Force = Mass × Acceleration

$\displaystyle \sf{ \implies \: F = m_2a }$

$\displaystyle \sf{ \implies \: 20 = m_2 \times 10 }$

$\displaystyle \sf{ \implies \: m_2 = 2 }$

Mass of second ball = 2 kg

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