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Answer :
Sure! Here’s a detailed, step-by-step solution to the problem:
We are given the following information:
- Force ([tex]\( F \)[/tex]) = 200 N (Newtons)
- Acceleration ([tex]\( a \)[/tex]) = [tex]\(8 \, m/s^2\)[/tex] (meters per second squared)
We need to find the mass ([tex]\( m \)[/tex]) of the crate. The formula that relates these quantities is:
[tex]\[ F = m \cdot a \][/tex]
We can rearrange this formula to solve for mass ([tex]\( m \)[/tex]):
[tex]\[ m = \frac{F}{a} \][/tex]
Plugging in the given values:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, m/s^2} \][/tex]
Now, we perform the division:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
We are given the following information:
- Force ([tex]\( F \)[/tex]) = 200 N (Newtons)
- Acceleration ([tex]\( a \)[/tex]) = [tex]\(8 \, m/s^2\)[/tex] (meters per second squared)
We need to find the mass ([tex]\( m \)[/tex]) of the crate. The formula that relates these quantities is:
[tex]\[ F = m \cdot a \][/tex]
We can rearrange this formula to solve for mass ([tex]\( m \)[/tex]):
[tex]\[ m = \frac{F}{a} \][/tex]
Plugging in the given values:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, m/s^2} \][/tex]
Now, we perform the division:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
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