Answer :
Answer:
The magnitude of the acceleration of the box is 2 m/s².
Explanation:
Given:
Mass of the box, [tex]m=5.0[/tex] kg
Force acting towards east, [tex]F=27[/tex] N
Frictional force acting towards west, [tex]f=17[/tex] N
Let the acceleration be [tex]a[/tex] m/s².
Now, net force acting on the box towards east is given as:
[tex]F_{net}=F-f=27-17=10\textrm{ N}[/tex]
From Newton's second law of motion,
[tex]F_{net}=ma\\10=5.0\times a\\a=\frac{10}{5.0}=2\textrm{ }m/s^2[/tex]
Therefore, the magnitude of the acceleration of the box is 2 m/s².
The magnitude of the acceleration of the box is 2.0 m/s²
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Further explanation
Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.
[tex]\large {\boxed {F = ma }[/tex]
F = Force ( Newton )
m = Object's Mass ( kg )
a = Acceleration ( m )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
mass of box = m = 5.0 kg
force = F = 27 N
frictional force = f = 17 N
Asked:
acceleration of the box = a = ?
Solution:
We will use Newton's Law of Motion to solve this problem as follows:
[tex]\Sigma F = ma[/tex]
[tex]F - f = ma[/tex]
[tex]27 - 17 = 5.0a[/tex]
[tex]10 = 5.0a[/tex]
[tex]a = 10 \div 5.0[/tex]
[tex]a= 2.0 \texttt{ m/s}^2[/tex]
[tex]\texttt{ }[/tex]
Conclusion:
The magnitude of the acceleration of the box is 2.0 m/s²
[tex]\texttt{ }[/tex]
Learn more
- Impacts of Gravity : https://brainly.com/question/5330244
- Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
- The Acceleration Due To Gravity : https://brainly.com/question/4189441
- Newton's Law of Motion: https://brainly.com/question/10431582
- Example of Newton's Law: https://brainly.com/question/498822
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Answer details
Grade: High School
Subject: Physics
Chapter: Dynamics
