Answer :
Taking into account the Newton's second law, the correct answer is the last option: the force needed is 270 N.
Newton's second law
In first place, acceleration in a body occurs when a force acts on a body, and two factors influence the acceleration of an object: the net force acting on it and the mass of the body.
Newton's second law states 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]
This case
In this case, you know:
- F= ?
- m= 54 kg
- a= 5 m/s²
Replacing in the Newton's second law:
F= 54 kg× 5 m/s²
Solving:
F= 270 N
Finally, the correct answer is the last option: the force needed is 270 N.
Learn more about the Newton's second law:
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Final answer:
Using Newton's second law of motion, F=ma, the force required to push a 54 kg sled accelerating at 5 m/s² is calculated as 270 N.
Explanation:
The force needed to push a 54 kg sled accelerating at 5 m/s2 can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration. This can be written as F = ma, where:
- F is the force
- m is the mass of the object
- a is the acceleration of the object
So, if we plug the values into this formula, we get:
F = (54 kg) * (5 m/s²) = 270 N
Therefore, the force needed to push the sled is 270 Newtons.
Learn more about Newton's second law here:
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