Answer :
From the Newton’s First Law, we can see that acceleration is simply the ratio of Force over mass. In this case, mass is the sum of the mass of each car, that is:
mass = 2300 kg + 2500 kg = 4800 kg
So the formula is:
acceleration = Force / mass
acceleration = 18,000 N / 4800 kg
acceleration = 3.75 m/s^2
In 2 significant figures:
acceleration = 3.8 m/s^2
The maximum possible acceleration the truck can give the SUV is about 3.8 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]\boxed {F = ma }[/tex]
F = Force ( Newton )
m = Object's Mass ( kg )
a = Acceleration ( m )
Let us now tackle the problem !
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Given:
mass of truck = m = 2300 kg
mass of SUV = M = 2500 kg
maximum forward force = F = 18 000 N
Asked:
maximum possible acceleration = a = ?
Solution:
We will use Newton's second law of motion to solve this problem :
[tex]\Sigma F = ( m + M )a[/tex]
[tex]F = ( m + M ) a[/tex]
[tex]a = F \div ( m + M )[/tex]
[tex]a = 18000 \div ( 2300 + 2500 )[/tex]
[tex]a = 18000 \div 4800[/tex]
[tex]a \approx 3.8 \texttt{ m/s}^2[/tex]
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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
