Question

force of 5N produce acceleration in a mass of 3g will be​

Answer 1

$force = 5n \\ mass = 3g \\ force = mass \times acceleration \\ 5 = 3 \times acceleration \\ \frac{5}{3} = acceleration \\ hence \: accelertion = \frac{5}{3} m/s2$

Answer 2

Answer:

• Acceleration (a) Produced is 1666.67 m/s².

Given:

1. Applied Force (F) = 5 N.
2. Mass of the Body (M) = 3 g.

Explanation:

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Newton's Second Law:

The rate of change of momentum is directly proportional to the Applied external Force on a body.

Expression:

• F ∝ dP/dt
• F = Ma

Units:

• S.I Unit = Newton (N)
• C.G.S Unit = Dynes (d)

Dimensional Formula:

• M L T⁻²

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Now, From the Formula,

⇒ F = Ma

Where,

• F denotes applied force.
• M denotes mass.
• a denotes acceleration.

Substituting the values,

⇒ F = m × a

⇒ 5 N = 3 g × a

As Mass units are in grams we need to convert into Kg.

∵ [1 g = 10⁻³ Kg]

⇒ 5 N = 3 × 10⁻³ Kg × a

⇒ 5 = 3 × 10⁻³ × a

⇒ a = 5 / 3 × 10⁻³

⇒ a = 5 × 10³ / 3

⇒ a = 1.66667 × 10³

⇒ a = 1666.67

⇒ a = 1666.67 m/s².

∴ Acceleration (a) Produced is 1666.67 m/s².

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