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Answer :
To find the mass of a crate when given the force applied and the acceleration, we can use the formula [tex]\( F = ma \)[/tex], where:
- [tex]\( F \)[/tex] is the force applied,
- [tex]\( m \)[/tex] is the mass, and
- [tex]\( a \)[/tex] is the acceleration.
In this problem, we know:
- The force ([tex]\( F \)[/tex]) is 200 Newtons,
- The acceleration ([tex]\( a \)[/tex]) is 8 meters per second squared.
We need to find the mass ([tex]\( m \)[/tex]).
Here's how you can solve the problem step by step:
1. Start with the formula: [tex]\( F = ma \)[/tex].
2. To find the mass ([tex]\( m \)[/tex]), rearrange the formula to solve for [tex]\( m \)[/tex]. This gives you:
[tex]\[
m = \frac{F}{a}
\][/tex]
3. Substitute the given values into the equation:
[tex]\[
m = \frac{200 \text{ N}}{8 \text{ m/s}^2}
\][/tex]
4. Calculate the mass:
[tex]\[
m = 25 \text{ kg}
\][/tex]
Thus, the mass of the crate is 25 kg.
- [tex]\( F \)[/tex] is the force applied,
- [tex]\( m \)[/tex] is the mass, and
- [tex]\( a \)[/tex] is the acceleration.
In this problem, we know:
- The force ([tex]\( F \)[/tex]) is 200 Newtons,
- The acceleration ([tex]\( a \)[/tex]) is 8 meters per second squared.
We need to find the mass ([tex]\( m \)[/tex]).
Here's how you can solve the problem step by step:
1. Start with the formula: [tex]\( F = ma \)[/tex].
2. To find the mass ([tex]\( m \)[/tex]), rearrange the formula to solve for [tex]\( m \)[/tex]. This gives you:
[tex]\[
m = \frac{F}{a}
\][/tex]
3. Substitute the given values into the equation:
[tex]\[
m = \frac{200 \text{ N}}{8 \text{ m/s}^2}
\][/tex]
4. Calculate the mass:
[tex]\[
m = 25 \text{ kg}
\][/tex]
Thus, the mass of the crate is 25 kg.
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