The projectile’s mass is not needed.
The projectile must be launched on the horizontal plane.
The earth drops 8 inches for every mile traveled.
The acceleration due to gravity is 9.81 meters per second squared.
Ignore air resistance.
You will have to calculate how far an object drops every second due to gravity
How fast does an object need to travel to stay in orbit for three seconds?
Please help me. I'm horrible at physics.
falling things drop at the rate of 1/2 g time^2=16t^2
if it falls 2/3 ft each mile, then the time to go a mile is
2/3 ft=16t^2
or t= sqrt(2/48)
so how far does it drop in one second?
d=2/3 *1sec/sqrt(2/48)=3.26ft
on the last part, it seems to me that it matters what the initial altitude is...
Ok thank you so much, but How fast does an object need to travel to stay in orbit for three seconds? Also thanks for explaining it to me.
Sure, I'll be happy to help you with this physics problem!
To find out how fast an object needs to travel to stay in orbit for three seconds, we need to calculate the distance it drops every second due to gravity.
According to the given information, the earth drops 8 inches for every mile traveled. We can convert this to the metric system by using the conversion factor: 1 inch = 0.0254 meters and 1 mile = 1609.34 meters.
Therefore, 8 inches dropped per mile can be converted to (8 * 0.0254) meters dropped per (1609.34) meters traveled.
The distance dropped in meters each second due to gravity can be calculated by dividing the distance dropped in meters per mile by the time it takes to travel that distance.
Since we want to find out how fast the object needs to be traveling to stay in orbit for three seconds, we need to multiply the distance dropped each second by the time.
So, the formula would be:
Distance dropped per second = (8 * 0.0254 m) / (1609.34 m) = 0.000127 m
Now, to find the speed needed to stay in orbit for three seconds, we need to multiply the distance dropped per second by the time:
Speed = Distance dropped per second * Time
Speed = 0.000127 m/s * 3 s = 0.000381 m/s
Therefore, an object needs to travel at a speed of 0.000381 meters per second to stay in orbit for three seconds.