A net force gives a 10th kg object an acceleration of 2.0m/s . If the same force were applied to a 20 kg object what would its acceleration be?
a= force/mass
what happens if mass is doubled?
In this concept
a=force/mass.if mass is doubled the a will be half according to first a.
To find the acceleration of the 20 kg object when the same force is applied, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
Mass of the first object (m1) = 0.10 kg
Acceleration of the first object (a1) = 2.0 m/s²
Mass of the second object (m2) = 20 kg
Acceleration of the second object (a2) = ?
Using Newton's second law, we can write the equation:
Net force (F) = mass (m) * acceleration (a)
For the first object:
F1 = m1 * a1
Now, if the same force is applied to the second object, we have:
F2 = m2 * a2
Since the force (F) is the same in both cases, we can equate the two equations:
F1 = F2
m1 * a1 = m2 * a2
Substituting the given values:
0.10 kg * 2.0 m/s² = 20 kg * a2
Simplifying the equation:
0.20 kg·m/s² = 20 kg * a2
Dividing both sides by 20 kg:
0.01 m/s² = a2
Therefore, the acceleration of the 20 kg object, when the same force is applied, would be 0.01 m/s².