Which will result in the greatest acceleration?
56 N action on a 1-kg box
56 N acting on a 2-kg bag
23 N acting on a -kg bag
23 N acting on a 5-kg bag
|a| = |F|/m
you have a typo on the third one down but it looks like 56/1
Thank you
To determine the acceleration in each case, we need to use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Acceleration = Net force / Mass
Let's calculate the acceleration for each scenario:
1. 56 N action on a 1-kg box:
Acceleration = 56 N / 1 kg = 56 m/s²
2. 56 N acting on a 2-kg bag:
Acceleration = 56 N / 2 kg = 28 m/s²
3. 23 N acting on a -kg bag:
As negative mass is not possible, this scenario is not valid.
4. 23 N acting on a 5-kg bag:
Acceleration = 23 N / 5 kg = 4.6 m/s²
Based on the calculations, the greatest acceleration would result from 56 N action on a 1-kg box, with an acceleration of 56 m/s².
To determine which force will result in the greatest acceleration, we need to use Newton's second law, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The formula for Newton's second law is:
F = m * a
where F is the net force, m is the mass of the object, and a is the acceleration.
Let's calculate the acceleration for each case:
For the first case, where a 56 N force is acting on a 1-kg box:
F = 56 N
m = 1 kg
Using Newton's second law:
56 N = 1 kg * a
a = 56 N / 1 kg
a = 56 m/s²
For the second case, where a 56 N force is acting on a 2-kg bag:
F = 56 N
m = 2 kg
Using Newton's second law:
56 N = 2 kg * a
a = 56 N / 2 kg
a = 28 m/s²
For the third case, where a 23 N force is acting on a -kg bag (assuming the mass is positive):
F = 23 N
m = 5 kg
Using Newton's second law:
23 N = 5 kg * a
a = 23 N / 5 kg
a ≈ 4.6 m/s²
For the fourth case, where a 23 N force is acting on a 5-kg bag:
F = 23 N
m = 5 kg
Using Newton's second law:
23 N = 5 kg * a
a = 23 N / 5 kg
a ≈ 4.6 m/s²
Comparing the calculated accelerations, we see that the first case, where a 56 N force acted on a 1-kg box, resulted in the greatest acceleration of 56 m/s².