Answer :
To calculate force without knowing force or acceleration, we need to use Newton's second law of motion, which states that force (F) equals mass (m) times acceleration (a), expressed as F = ma.
However, if we only have mass and no information about acceleration, we cannot directly calculate force. In the case of someone weighing 130 pounds, we can convert their weight into mass using the formula:
\[ \text{Mass (in kg)} = \frac{\text{Weight (in pounds)}}{\text{Acceleration due to gravity (in m/s}^2)} \]
The standard acceleration due to gravity is approximately \( 9.8 \, \text{m/s}^2 \).
So, if someone weighs 130 pounds, their mass would be:
\[ \text{Mass} = \frac{130 \, \text{pounds}}{2.20462 \, (\text{pounds/kg})} \]
Then, once we have the mass, we could calculate force if we know the acceleration. However, if we only have mass and time and need to find the work done, we'll need additional information. Work (W) is calculated using the formula:
\[ \text{Work (W)} = \text{Force (F)} \times \text{Distance (d)} \times \cos(\theta) \]
Where:
- \( \theta \) is the angle between the force vector and the direction of motion.
- If the force and displacement are in the same direction, \( \cos(\theta) = 1 \), and if they are perpendicular, \( \cos(\theta) = 0 \).
Without information about force or displacement, it's not possible to calculate work using only mass and time. We would need additional details about the specific scenario to calculate work.
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