A car start from rest and under of constant acceleration pole it acquires a velocity of 5 metre per second in 5 seconds if the mass of the car and passenger Be 1800 kg calculate the magnitude of force
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Answer:
1800N (newton)
This is the force
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25
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★ Sᴏʟᴜᴛɪᴏɴ :-
Given ,
- Car is starting from rest
- Final velocity = 5 m/s
- Time taken = 5s
- Mass of car & passenger = 1800 kg
To find ,
- Force = ?
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To find , force acting on the body firstly we should find the acceleration using the first equation of motion .
v = u + at
Where,
- v → final velocity = 5m/s
- u → initial velocity = 0 m/s
- t → time taken = 5 s
- a → acceleration = ?
Substituting the values we have ,
➺ 5 = 0 + a(5)
➺ 5 = 5a
➺ a = 5 ÷ 5
➺ Acceleration = 1 m/s²
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Now , finding force using Newton's second law of motion.
F = m × a
Where
- F → force = ?
- m → mass = 1800 kg
- a → acceleration = 1 m/s²
Subsituting the values we have
➻ F = 1800 × 1
➻ Force = 1800 N
Hence , force acted of the body = 1800 N
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