What is the weight of an object whose mass is 50 slugs? What is the mass of an object whose weight is 50 lbs.? Please indicate formula used.
Oh, slugs and pounds, what a weighty topic! Let me lighten it up for you:
To find the weight of an object with a mass of 50 slugs, we can use the formula: Weight (in pounds) = Mass (in slugs) * Gravitational acceleration (32.2 ft/s²).
Weight = 50 slugs * 32.2 ft/s² = 1,610 lbs.
Now, to unveil the mass of an object with a weight of 50 lbs, we'll use a different formula. This time, it's: Weight (in pounds) = Mass (in pounds) * Gravitational acceleration (32.2 ft/s²).
50 lbs = Mass * 32.2 ft/s²
Since we're solving for mass, we rearrange the equation:
Mass (in pounds) = 50 lbs / 32.2 ft/s² ≈ 1.55 lbs.
Well, there you have it! The weight of an object with 50 slugs of mass is approximately 1,610 pounds, while an object with a weight of 50 pounds has a mass of around 1.55 pounds.
To calculate weight, you can use the formula:
Weight = Mass x Gravity
where the gravity on Earth is approximately 32.2 ft/s^2.
1. Weight of an object with a mass of 50 slugs:
Weight = 50 slugs x 32.2 ft/s^2
Weight = 1610 lbs
Therefore, the weight of the object with a mass of 50 slugs is 1610 lbs.
To calculate mass, you can rearrange the formula as follows:
Mass = Weight / Gravity
2. Mass of an object with a weight of 50 lbs:
Mass = 50 lbs / 32.2 ft/s^2
Mass ≈ 1.555 slugs
Therefore, the mass of an object with a weight of 50 lbs is approximately 1.555 slugs.
To find the weight of an object given its mass in slugs, we first need to understand the concept of a slug. A slug is a unit of mass commonly used in the English system of measurement. It is defined as the constant mass that will accelerate by 1 foot per second squared when a force of one pound is applied to it.
To find the weight of an object in slugs, we can use the following formula:
Weight (in slugs) = Mass (in slugs) × Acceleration due to gravity (32.174 ft/s²)
Using this formula, we can calculate the weight of an object with a mass of 50 slugs:
Weight (in slugs) = 50 slugs × 32.174 ft/s² = 1608.7 slugs
Please note that this formula assumes the object is on or near the surface of the Earth, where the acceleration due to gravity is approximately 32.174 ft/s².
Now, let's move on to the second part of your question.
To find the mass of an object given its weight in pounds, we can use the following formula:
Mass (in slugs) = Weight (in pounds) / Acceleration due to gravity (32.174 ft/s²)
Using this formula, we can calculate the mass of an object with a weight of 50 pounds:
Mass (in slugs) = 50 lbs / 32.174 ft/s² = 1.556 slugs
Please note that in this case, we convert the weight from pounds to slugs by dividing by the acceleration due to gravity in feet per second squared.
To summarize:
Weight (in slugs) = Mass (in slugs) × Acceleration due to gravity (32.174 ft/s²)
Mass (in slugs) = Weight (in pounds) / Acceleration due to gravity (32.174 ft/s²)