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33 votes
7. What is the acceleration of a 1,300 kg truck with a net force of 5,000 newtons (N)?

User Jamee
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2 Answers

21 votes
21 votes

Force( net ) = mass × acceleration

5000 = 1300 × acceleration

acceleration = 5000 ÷ 1300

acceleration = 50/13

acceleration = 3.846 N/Kg

User Andrew T
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11 votes
11 votes

Answer: 1200 kg

Explanation: Taking into account the Newton's second law, the mass of the vehicle is 1200 kg.

In first place, acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.

Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

F = Force [N]

m = Mass [kg]

a = Acceleration [m/s²]

In this case, you know:

F= 1800 N

m= ?

a= 1.5 m/s²

Replacing:

1800 N= m× 1.5 m/s²

Solving:

m= 1800 N÷1.5 m/s²

m= 1200 kg

Finally, the mass of the vehicle is 1200 kg.

User Danielkza
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