what would be required to produce an acceleration of 2 m/s square on a body of 12 kg what is acceleration if force is double
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A =2ms²
m =10 kg
F =ma
=2×12
=24kgm5²
=24N
If the mass is double
m =24 kg
F =ma
24 =24×a
a=1ms²
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Given :
- Acceleration = 2 m/s²
- Mass of the body = 12 kg
To Find :
- Force = ?
- What is acceleration if force is double.
Solution :
First of all we need to find the force of the body :
Force is the product of the mass of a body and the acceleration . Force is usually the push or pull of the mass of an object that is accompanied by the motion(acceleration). Force is a vector quantity because it has both magnitude and direction.
- Example is when you throw a ball you apply a push, with the mass of the ball and the acceleration computed you can calculate the force applied .
- Force is measured in Newton or Kg m/s²
Mathematically, force can be represented as
- Force = mass × acceleration
Now, plug in the given values :
→ Force = 12 × 2
→ Force = 24 kg m/s² or Newton
- Hence,the required force of the body is 24 kg m/s².
Now, let's find acceleration if force is double :
→ Acceleration = Force ÷ mass
→ Acceleration = 2(24) ÷ 12
→ Acceleration = 48 ÷ 12
→ Acceleration = 4 m/s²
- Hence,the acceleration produced is 4 m/s².
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