The faster you drive the less time it takes to reach your destination (a driver's speed is inversely proportional to the drive t
1 answer:
Answer:
The time the trip takes Kelly is approximately 34 minutes
Step-by-step explanation:
The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;
The given parameters of the journey are;
The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes
The speed with which Mike travels = 60 miles an hour
The speed with which Kelly travels the same trip = 80 miles an hour
Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly
For Mike, we have;
S = d/t
∴ d = S × t
Where;
S = 60 miles per hour
t = 45 minutes = 0.75 hour
d = 60 miles/hour × 0.75 hour = 45 miles
The distance from point 'a' to point 'b' = d = 45 miles
Similarly, from S = d/t, we have for Kelly the time 't' given as follows;
t = d/S
Where;
S = 80 miles/hour
d = 45 miles
∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes
The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.
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Answer:
Only Cory is correct
Step-by-step explanation:
The gravitational pull of the Earth on a person or object is given by Newton's law of gravitation as follows;
Where;
G = The universal gravitational constant
M = The mass of one object
m = The mass of the other object
r = The distance between the centers of the two objects
For the gravitational pull of the Earth on a person, when the person is standing on the Earth's surface, r = R = The radius of the Earth ≈ 6,371 km
Therefore, for an astronaut in the international Space Station, r = 6,800 km
The ratio of the gravitational pull on the surface of the Earth, F₁, and the gravitational pull on an astronaut at the international space station, F₂, is therefore given as follows;
∴ F₁ ≈ 1.14 × F₂
F₂ ≈ 0.8778 × F₁
Therefore, the gravitational pull on the astronaut by virtue of the distance from the center of the Earth, F₂ is approximately 88% of the gravitational pull on a person of similar mass on Earth
However, the International Space Station is moving in its orbit around the Earth at an orbiting speed enough to prevent the Space Station from falling to the Earth such that the Space Station falls around the Earth because of the curved shape of the gravitational attraction, such that the astronaut are constantly falling (similar to falling from height) and appear not to experience gravity
Therefore, Cory is correct, the astronauts in the International Space Station, 6,800 km from the Earth's center, are not too far to experience gravity.