Calculate the magnitude of the linear momentum for the following cases.
the Earth (mass = 5.98*1024 kg) moving with an orbital speed equal to 2.98*10^4 m/s.
so i did 5.98*10^24 times 2.98*10^4=1.78204 × 10^29
But homework website doesn't accept this answer...is there something that i missed while calculating? if not, could you tell me some ways to insert the answer.
Thanks
Perhaps they want you to round off to
1.78*10^29, to keep the same number of significant figures. Or drop the "x" and use *10^29 or E29
You computed it correctly.
To calculate the magnitude of linear momentum, we can use the formula:
Momentum (p) = mass (m) × velocity (v)
In this case, the mass of the Earth is given as 5.98 × 10^24 kg and the orbital speed is 2.98 × 10^4 m/s.
Substituting these values into the formula:
Momentum (p) = (5.98 × 10^24 kg) × (2.98 × 10^4 m/s)
Now let's multiply the numbers:
Momentum (p) = (5.98 × 10^24) × (2.98 × 10^4) = (5.98 × 2.98) × (10^24 × 10^4) = 17.8604 × 10^28
This can be written in scientific notation as 1.78604 × 10^29 kg·m/s.
It seems like you made an error when multiplying the numbers. Double-check your calculations to ensure accuracy.
If the homework website is not accepting this answer, make sure to follow any specific formatting instructions given. Some websites require answers to be rounded to a certain number of significant figures or require a specific format for the scientific notation. Additionally, check if there are any units specified for the answer (e.g., kg·m/s).