A 5.0-kg bag of groceries is tossed onto a table at 2.0 m/s and slides to a stop in 1.6 s .
1 answer:
Answer:
-6.3 N
Explanation:
The equation we need to use is:
where
F is the force of friction, that slows down the bag
is the time of the motion
m is the mass of the bag
v is the speed of the bag
Since the mass of the bag does not change, we can rewrite the equation as
where we have:
Substituting and re-arranging the equation, we can find the force of friction:
where the negative sign means that the force is in the opposite direction to the motion of the bag.
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Given,
Distance from the surface to the center of the earth, d=4000 miles
Distance from the center to you at a height of 8000 miles, a= 8000+4000=12000 miles
The gravitational force acting on a person at the surface is equal to his weight.
From Newton's Universal Law of Gravitation, the gravitational force is
Where G is the gravitational constant, M is the mass of the earth, m is the mass of the object/person, r is the distance between the center of the earth and the object/person
At the surface, this force is equal to the weight of the person, W=mg
i.e.
On substituting the of d,
At a height of 8000 miles from the surface, the gravitational force is equal to,
On dividing the above two equations,
Therefore,
Therefore at a height of 8000 miles above the surface of the earth, the force of gravity becomes 1/9 time your weight.