Question

A force of 20 N is applied on two balls of masses m1=2 kg, and m2=4 kg individually. Find the ratio of accelerations of balls 1 and 2?​

Answer 1

Given

• Force = 20 N
• M_1 = 2 kg
• M_2 = 4 kg

To Find

• Ratio of acceleration

Solution

☯ F = ma

• Derived from Newton's second law

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✭ According to the Question :

Case 1:

⇒ F = ma

⇒ 20/2 = a

⇒ a_1 = 10 m/s²

Case 2:

⇒ F = ma

⇒ 20/4 = a

⇒ a_2 = 5 m/s²

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• Ratio of acceleration = a_1/a_2
• Ratio of acceleration = 10/5
• Ratio of acceleration = 2/1
• Ratio of acceleration = 2:1

Answer 2

Solution -

1.

$f \: = \: ma$

$\frac{20}{2} = a$

a_1 = 10 m/s2

2.

F = ma.

20/4 = a

a_2 = 5m/s²