Question

If that asteroid were to make it to the Earth (now subject to Earth's gravity and not lose any mass), what would its weight equivalent be in pounds?

The scientific notation is 2.8290987 x 10^19
The mass of the asteroid converted to grams is 2829.0987 g

Answer 1

The asteroid with a mass of 2829.0987 g would have a weight of approximately 6.2362954 lb on Earth, after using the conversion from Newtons to pounds with Earth's gravitational acceleration.

Step-by-step explanation:

The weight of an object on Earth is calculated using the formula: weight = mass × gravitational acceleration (g = 9.80 m/s²). Given that 1 lb is equivalent to 0.4536 kg on Earth, we can find the weight of the asteroid in pounds by first converting its mass from grams to kilograms and then using the gravitational constant to find its weight.

The asteroid's mass is given as 2829.0987 g, which is equivalent to 2.8290987 kg (since 1 kg = 1000 g). Applying Earth's gravitational acceleration, the weight W in Newtons (N) is calculated as W = mass (in kg) × g, yielding W = 2.8290987 kg × 9.80 m/s² = 27.72496826 N.

To convert Newtons to pounds, we use the fact that 1 N = 0.224809 lb. Thus, the asteroid's weight in pounds is 27.72496826 N × 0.224809 lb/N = 6.2362954 lb.