An unknown mass has an acceleration of 2 m/s2 to a 1 kg body.if the same force accelerate another body of 8 m/s2 .what is the mass of the body?
Use Newton's second law:
F=ma
F=(1 kg)*2 m/s² = 2 N
If F=2N and a=8m/s², then
m=F/a
To find the mass of the second body, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
We know that the first body has an acceleration of 2 m/s^2 and a mass of 1 kg. Therefore, the force acting on it can be calculated as:
Force = Mass * Acceleration
Force = 1 kg * 2 m/s^2
Force = 2 Newtons
Now, we want to find the mass of the second body that has an acceleration of 8 m/s^2.
Force = Mass * Acceleration
2 Newtons = Mass * 8 m/s^2
To isolate the mass, we divide both sides of the equation by 8 m/s^2:
2 Newtons / 8 m/s^2 = Mass
Mass = 0.25 kg
Therefore, the mass of the second body is 0.25 kg.