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Sagot :
To find how much force is needed to accelerate an object of mass 90 kg at a rate of 1.2 m/s², we can use Newton's Second Law of Motion. Newton's Second Law states that:
[tex]\[ \text{Force (F)} = \text{mass (m)} \times \text{acceleration (a)} \][/tex]
Given that:
- Mass ([tex]\( m \)[/tex]) = 90 kg
- Acceleration ([tex]\( a \)[/tex]) = 1.2 m/s²
We substitute these values into the formula:
[tex]\[ F = 90 \, \text{kg} \times 1.2 \, \text{m/s}^2 \][/tex]
Carrying out the multiplication, we get:
[tex]\[ F = 108 \, \text{N} \][/tex]
Therefore, the force needed to accelerate the object is 108 Newtons.
Based on this calculation, the correct answer is:
108 N
[tex]\[ \text{Force (F)} = \text{mass (m)} \times \text{acceleration (a)} \][/tex]
Given that:
- Mass ([tex]\( m \)[/tex]) = 90 kg
- Acceleration ([tex]\( a \)[/tex]) = 1.2 m/s²
We substitute these values into the formula:
[tex]\[ F = 90 \, \text{kg} \times 1.2 \, \text{m/s}^2 \][/tex]
Carrying out the multiplication, we get:
[tex]\[ F = 108 \, \text{N} \][/tex]
Therefore, the force needed to accelerate the object is 108 Newtons.
Based on this calculation, the correct answer is:
108 N
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