Answer:
730.4 m
Explanation:
The sound waves travels with a uniform motion (=constant velocity), therefore we can calculate the distance it travels using the formula:
where
d is the distance
v is the speed of the sound wave
t is the time taken
In this problem we have:
v = 332 m/s is the speed of sound in air
t = 2.2 s is the time elapsed
Therefore, the distance between the tower and the person is
Answer:
The speed of the cyclist is 2.75 km/min.
Explanation:
Given
To determine
We need to find the speed of a cyclist.
In order to determine the speed of a cyclist, all we need to do is to divide the distance covered by a cyclist by the time taken to cover the distance.
Using the formula involving speed, time, and distance
where
substitute d = 88, and t = 32 in the formula
Cancel the common factor 8
km/min
Therefore, the speed of the cyclist is 2.75 km/min.
The two forces of gravity are equal
Explanation:
We can answer this question by applying Newton's third law of motion, which states that:
"When an object A exerts a force (called action) on an object B, then object B exerts an equal and opposite force (called reaction) on object A"
In this problem, we can identify the Sun as object A and the Earth as object B. This means that the force of gravity exerted by the Sun on the Earth is the action, while the force of gravity exerted by the Earth on the Sun is the reaction: according to Newton's third law, these two forces are equal and opposite.
Therefore, the two forces of gravity are equal in magnitude, which is given by:
where
G is the gravitational constant
M is the mass of the Sun
m is the mass of the Earth
r is the separation between the Earth and the Sun
Learn more about Newton's third law:
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