Question

If 2.2 lbs = 1.0 kg, and Megan Progress weighs 130 lbs, what is her weight in newtons?

(F= ma). where acceleration due to gravity is 9.8 m/s2

Answer 1

Megan's weight is approximately 579.09 newtons.

To find Megan's weight in newtons, we follow these steps:

1. Convert pounds to kilograms: Since 2.2 pounds is equivalent to 1 kilogram, we divide Megan's weight in pounds by 2.2 to convert it to kilograms.

2. Calculate weight in newtons: Weight is a force measured in newtons (N), and force is calculated as mass times acceleration. Here, the relevant acceleration is the acceleration due to gravity, which is approximately 9.8 meters per second squared (m/s²).

Here's the step-by-step calculation:

- Megan's weight in pounds: 130 lbs

- Conversion factor from pounds to kilograms: 1 kg / 2.2 lbs

`\[ \text{Weight in kilograms (kg)} = \text{Weight in pounds (lbs)} * \text{Conversion factor} \]`

`\[ \text{Weight in kg} = 130 \text{ lbs} * \left( \frac{1 \text{ kg}}{2.2 \text{ lbs}} \right) \]`

- Weight in kilograms: \( \frac{130}{2.2} \) kg

- Acceleration due to gravity: 9.8 m/s²

`\[ \text{Force in newtons (N)} = \text{Mass in kilograms (kg)} * \text{Acceleration due to gravity (m/s²)} \]`

`\[ \text{Force in N} = \text{Weight in kg} * 9.8 \text{ m/s²} \]`

Performing the calculations gives us Megan's weight in newtons. If we do the math:

`\[ \text{Weight in kg} = (130)/(2.2) \text{ kg} \approx 59.09 \text{ kg} \]`

`\[ \text{Force in N} = 59.09 \text{ kg} * 9.8 \text{ m/s²} \approx 579.09 \text{ N} \]`

Therefore, Megan's weight is approximately 579.09 newtons.

Answer 2

Force = 2802.8 Newton

Step-by-step explanation:

Given the following data;

Mass = 130 lbs

But, 2.2 lbs = 1.0 kg

130 lbs to kg = 130 * 2.2 = 286 kg

Acceleration due to gravity = 9.8m/s²

To find the force in Newton;

Force = mass * acceleration due to gravity

Force = 286 * 9.8

Force = 2802.8 Newton