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Answers
Solution :
Case I :
• Mass = 3 kg
• Acceleration = 5 m/s²
From Newton's 2nd Law of Motion :
★ Force = Mass × Acceleration
→ F = 3 × 5
→ F = 15 Newtons
Case II :
• Mass = 4 kg
• Acceleration = 4 m/s²
From Newton's 2nd Law of Motion :
★ Force = Mass × Acceleration
→ F = 4 × 4
→ F = 16 Newtons
Force required is greater for 4 kg mass at 4 m/s², Option d)
Given:-
Object A:-
- Mass (m) = 3 kg
- Acceleration (a) = 5 m/s²
Object B:-
- Mass (m) = 4 kg
- Acceleration (a) = 4 m/s²
Finding Force required for both the cases:-
We know,
F = ma
where,
- F = Force,
- m, a = Mass and acceleration respectively.
For object A:-
F = (3 kg)(5 m/s²)
→ F = 15 kg m/s²
→ F = 15 N
∴ Required force to make object A in an acceleration of 5 m/s² is 15 N.
For object B:-
F = (4 kg)(4 m/s²)
→ F = 16 kg m/s²
→ F = 16 N
∴ Required force to make object B in an acceleration of 4 m/s² is 16 N.
Observation: Force required to make object A is lesser than that of required in B.
Thus,
☑ (d) greater for 4 kg mass at 4 m/s²