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?
a = (2kg/8kg) * 1.6m/s^2 = 0.4 m/s^2.
To find the acceleration for an 8-kg object using the same force, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.
Given:
Mass of the first object (m1) = 2 kg
Acceleration of the first object (a1) = 1.6 m/s^2
Mass of the second object (m2) = 8 kg
Using the formula:
Force (F) = mass (m) x acceleration (a)
We can rearrange the formula to solve for acceleration:
a = F/m
First, let's find the force acting on the first object using its mass and acceleration:
F1 = m1 x a1
F1 = 2 kg x 1.6 m/s^2
F1 = 3.2 N
Now, we can use the same force (F1) and apply it to the second object of 8 kg:
a2 = F1 / m2
a2 = 3.2 N / 8 kg
a2 = 0.4 m/s^2
Therefore, the acceleration that the same force gives to an 8-kg object is 0.4 m/s^2.
To find the acceleration of the 8-kg object, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration (F = m*a).
Given that the force gives a 2-kg object an acceleration of 1.6 m/s^2, we can calculate the force applied to the object using the formula:
F = m * a
where F is the force, m is the mass, and a is the acceleration.
We can rearrange the formula to find the force:
F = m * a
F = 2 kg * 1.6 m/s^2
F = 3.2 N
Now that we know the force applied to the 2-kg object, we can use this force to find the acceleration of the 8-kg object.
F = m * a
a = F / m
a = 3.2 N / 8 kg
a = 0.4 m/s^2
Therefore, the same force gives the 8-kg object an acceleration of 0.4 m/s^2.