If a force gives a 2-kg object an acceleration of 1.6 m/s2, what acceleration does this same force give to an 8-kg object?
The force (on both masses) is
F = M*a = (2 kg)*(1.6 m/s^2) = 3.2 N
If the same force acts upon 8 kg (which four times the original mass), you get 1/4 the original acceleration. That would be 0.4 m/s^2.
3.2 = 8.0 * 0.4 Newtons
if a gives a force 2kg object an acceleration 1.6,/s2 what does the smae force give to an object of 4kg
Well, if the force made a 2-kg object accelerate at 1.6 m/s², then it's like the object said, "Hey force, keep it up, I can handle more!" So, when you try it on an 8-kg object, the force will accelerate it at 1.6 m/s² as well. It's like upgrading from a mini car to a big, heavy truck with the same engine power. The force might even break a sweat with the heavier object!
To find out what acceleration the same force gives to an 8-kg object, we can use Newton's second law of motion.
Newton's second law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, it can be written as:
F = m * a
Where:
F = Force
m = Mass of the object
a = Acceleration of the object
In this case, we know that the force gives a 2-kg object an acceleration of 1.6 m/s^2. Let's denote this force as F1 and the acceleration as a1.
So, for the 2-kg object:
F1 = m1 * a1
F1 = 2 kg * 1.6 m/s^2
F1 = 3.2 N
Now, we want to find the acceleration (a2) of an 8-kg object when the same force (F1) is applied:
F1 = m2 * a2
3.2 N = 8 kg * a2
a2 = 3.2 N / 8 kg
a2 = 0.4 m/s^2
Therefore, the same force would give an 8-kg object an acceleration of 0.4 m/s^2.