A person pushes horizontally on a 50-kg crate, causing it to accelerate from rest and slide across the surface. If the push caus
1 answer:
Answer:
: velocity of the crate after the person has pushed the crate a distance of 6 meters
Explanation:
Crate kinetics
Crate moves with uniformly accelerated movement
v f²=v₀²+2a*d (formula 1)
d:displacement in meters (m)
v₀: initial speed in m/s
vf: final speed in m/s
a: acceleration in m/s²
Known data
v₀=0 The speed of the crate is equal to zero because part of the rest.
a= 2m/s²
d= 6m
Distance calculating
We replace data in the Formula (1)
v f²=0+2*2*d
v f²=2*2*6
v f²=24
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Answer:
diameter = 21.81 ft
Explanation:
The gravitational force equation is:
Where:
- F => Gravitational force or force of attraction between two masses
- M => Mass of asteroid 1
- m => Mass of asteroid 2
- R => Distance between asteroids 1 and 2 (from center of gravity)
We also know that the asteroids are identical so their masses are identical:
- M=m
Since R is the distance between centers of the two asteroids and their diameters are identical (see attachment), we can conclude that:
- R=d=2r
We don´t know the mass of the asteroids but we know they are composed of pure iron, so we can relate their masses to their density:
- m=ρV
This is going to be helpful because the volume of a sphere is:
And know we can write our original force of gravity equation in terms of the radius of the asteroids:
Now let´s plug in the values we know:
mutual gravitational attraction force
gravitational constant
Solve for r and multiply by 2 because 2r = diameter
Result is d = 21.81 Feet
