Question

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Answer 1

Given

• Weight = 20 N
• Gravitational Acceleration = 9.8 m/s²

To Find

• The Mass of the particle
• Weight of the particle when the Gravitational Acceleration is 3.5 m/s²

Solution

● F = ma

● F = W or W = ma

✭ Mass of the Particle :

• Mass is a constant value and is the same at any circumstances

→ W = ma

→ 30 = m × 9.8

→ 30/9.8 = m

→ Mass = 3.07 kg

✭ Weight of the particle when Ga is 3.5 m/s²

→ W = ma

→ W = 3.07 × 3.5

→ W = 10.745 N

Answer 2

Answer:

Given :-

• A certain particles has a weight of 30 N at a place where the acceleration due to gravity is 9.8 m/s².

To Find :-

• What is the mass and weight at a place where acceleration due to gravity is 3.5 m/s².

Formula Used :-

$\boxed{\bold{\large{W\: =\: m\: \times g}}}$

where,

• w = Weight
• m = Mass
• g = Gravitational acceleration

Solution :-

❶ To find mass,

Given :

• Weight = 30 N
• Gravitational acceleration = 9.8 m/s²

According to the question by using the formula we get,

⇒ W = mg

⇒ 30 = m × 9.8

⇒ $\dfrac{30}{9.8}$ = m

⇒ 30.7 = m

➠ m = 30.7 kg

$\therefore$ The mass of a particles is 30.7 kg .

❷ To find weight due to gravity is 3.5 m/s²,

↦ W = mg

↦ W = 30.7 × 3.5

➥ W = 107.45 N

$\therefore$ The weight at a place where acceleration due to gravity of 3.5 m/s² is 107.45 N .