Answer :
The box will accelerate at a rate of approximately 2.857 m/s².
The correct rate at which the box will accelerate is given by 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. The formula is:
[tex]\[ a = \frac{F}{m} \][/tex]
where [tex]a[/tex] is the acceleration, [tex]F[/tex] is the force applied, and [tex]m[/tex] is the mass of the object.
Given:
- The force [tex]F[/tex] is 97.7 N.
- The mass [tex]m[/tex] of the box is 34.2 kg.
Using the formula for acceleration:
[tex]\[ a = \frac{97.7 \text{ N}}{34.2 \text{ kg}} \][/tex]
[tex]\[ a \approx \frac{97.7}{34.2} \text{ m/s}^2 \][/tex]
[tex]\[ a \approx 2.857 \text{ m/s}^2 \][/tex]
To find the acceleration of the box, we apply Newton's second law of motion, which is a fundamental principle in physics. According to this law, the acceleration of an object is the result of all the forces acting on it divided by its mass. In this case, since only one force is mentioned (97.7 N), we assume it to be the net force acting on the box. By dividing this force by the mass of the box (34.2 kg), we obtain the acceleration. The calculation yields an acceleration of approximately 2.857 m/s², which is the rate at which the box's velocity will change per second under the influence of the applied force.
Answer:
2.86 m/s²
Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{force}{mass} \\ [/tex]
From the question
force = 97.7 N
mass = 34.2 kg
We have
[tex]a = \frac{97.7}{34.2} = 2.856725 \\ [/tex]
We have the final answer as
2.86 m/s²
Hope this helps you