Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m. Express your answer in pounds to three significant figures.
The Correct Answer and Explanation is :
To convert 15.0 Newtons (N) to pounds, we need to go through a few steps. Newtons is a unit of force in the International System of Units (SI), while pounds are used in the Imperial system. To make the conversion, we will use the following relationships:
- Convert Newtons to Slugs: First, we need to convert the force in Newtons to mass in slugs, using the formula: [
F = m \cdot a
]
where:
- ( F ) is force in Newtons,
- ( m ) is mass in kilograms, and
- ( a ) is acceleration in meters per second squared (m/s²). Since we’re given the force in Newtons (N), we need to convert it into pounds, which is a force, so we will use the relationship between force, mass, and acceleration. However, the formula will need to be adjusted. Next ,