The force of earths gravity is about 10 N downward.what is the acceleration of a 15 kg backpack if lifted with a 15 N force?
To find the acceleration of the backpack when lifted with a 15 N force, 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.
Given:
Force of gravity (F) = 10 N (directed downward)
Force applied (F_applied) = 15 N (upward)
Mass of the backpack (m) = 15 kg
The equation can be written as:
F_applied - F = m * a
Substituting the given values:
15 N - 10 N = 15 kg * a
Performing the calculation:
5 N = 15 kg * a
Now, to find the acceleration (a), divide both sides of the equation by the mass (m):
5 N / 15 kg = a
Simplifying the equation:
a ≈ 0.33 m/s²
Therefore, the acceleration of the 15 kg backpack when lifted with a 15 N force is approximately 0.33 m/s².