I want to drive to Miami, which is 675 miles away. If my car gets 24 miles per gallon of gas costs $2.50 a gallon, how much woul
d it cost to drive to Miami?
2 answers:
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Answer:
The centripetal force will be 1/2 as big as it was. (option c)
Explanation:
Recall that centripetal force () is defined as:
where "v" is the tangential velocity of the object in circular motion, "r" is the radius of rotation and "m" is the object's mass.
So if we start with such formula with a given mass, radius, and tangential velocity, and then we move to a situation where everything stays the same except for the radius which doubles, then the new centripetal force () will be given by:
and this is half (1/2) of the original force:
which is expressed by option "c" of the provided list.
Answer:
32 km east
Explanation:
In order to find the final position of the balloon, we need to calculate its total displacement.
We have:
- Displacement towards west: 18 km
- Displacement towards east: 50 km
The two vectors are on the same line: this means that we can simply add them together (taking into account the proper direction) to obtain the total displacement.
Taking east as positive direction and west as negative direction, we have:
And since it is positive, it means that the final position of the balloon is 32 km east from its initial position.