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Zorluk: KolayNewton's Second Law (F=ma)

A deck winch on a naval vessel applies a constant net horizontal force of 4,500 N4,500 \text{ N} to drag a heavy supply pallet across a level deck. If the pallet has a mass of 1,500 kg1,500 \text{ kg}, what is the acceleration of the pallet?

Cevap: 3 m/s^2

Cevap

The correct answer is 3.
By applying Newton's Second Law (F=maF = ma) and rearranging for acceleration (a=Fma = \frac{F}{m}), we divide the net force of 4,500 N4,500 \text{ N} by the mass of 1,500 kg1,500 \text{ kg} to find an acceleration of 3 m/s23 \text{ m/s}^2.

Adım Adım Çözüm

1
Identify the given information
Force (FF) = 4,500 N4,500 \text{ N}, Mass (mm) = 1,500 kg1,500 \text{ kg}
Extracting the known variables is the first step in solving a physics calculation problem.
2
Select the appropriate formula
F=maF = ma
Newton's Second Law relates force, mass, and acceleration.
3
Rearrange the formula to solve for acceleration
a=Fma = \frac{F}{m}
We need to isolate the unknown variable, acceleration (aa).
4
Substitute the values and calculate
a=45001500=3 m/s2a = \frac{4500}{1500} = 3 \text{ m/s}^2
Plugging in the given numbers yields the final numerical answer.

Anahtar Kavram

Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass (F=maF = ma).
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