Calculate the mass of a bus if it produces a force of 14,000 N while accelerating at a rate of 5m/s2 using the formula F=MA
Answers
Given :
• Force of a bus = 14,000 N
• Acceleration = 5 m/s²
To find :
• Mass of the bus
Concept :
Here, we have to find the mass of the bus. For that we will use the formula of force.
Force is the product of mass and acceleration.
Mathematically,
- Force = ma
where,
• m denotes the mass of the body
• a denotes the acceleration of the body
Solution :
→ Force = ma
→ Substituting the given values :-
→ 14,000 = m × 5
→ Transpoing 5 to the left hand side :-
→ 14,000 ÷ 5 = m
→ 2800 = m
→ The value of m = 2800
Therefore, the mass of the bus = 2800 kg
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VERIFICATION :
We can verify the value of the mass of the bus by finding the force produced by the buss. If it will be equal to 14,000 N as mentioned in the question then the value of mass is right.
→ Force = ma
→ Substituting the given values :-
→ Force = 2800 × 5
→ Force = 14,000 N
Hence, verified.