What is the following correct way to write 2,330,000 in scientific notation
2 answers:
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The goalkeeper at his goal cannot kick a soccer ball into the opponent’s goal without the ball touching the ground
Explanation:
Consider the vertical motion of ball,
We have equation of motion v = u + at
Initial velocity, u = u sin θ
Final velocity, v = 0 m/s
Acceleration = -g
Substituting
v = u + at
0 = u sin θ - g t
This is the time of flight.
Consider the horizontal motion of ball,
Initial velocity, u = u cos θ
Acceleration, a =0 m/s²
Time,
Substituting
s = ut + 0.5 at²
This is the range.
In this problem
u = 30 m/s
g = 9.81 m/s²
θ = 45° - For maximum range
Substituting
Maximum horizontal distance traveled by ball without touching ground is 45.87 m, which is less than 95 m.
So the goalkeeper at his goal cannot kick a soccer ball into the opponent’s goal without the ball touching the ground
The force between the two objects is 19.73 nN.
<u>Explanation: </u>
Any force acting between two objects tends to be directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects. And this kind of attraction force between two objects is termed as gravitational force.
So if we consider and
as the masses of both objects and let d be the distance of separation of two objects. Then the force between the two objects can be determined as below:
As gravitational constant ,
= 20 kg and
= 100 kg, while d = 2.6 m, then
Thus, we get finally,
As we know, nano denoted by letter 'n' equals to
So the force acting between two objects is 19.73 nN.