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

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

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  1. 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.

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