Assume the ball was thrown at ground level, so its initial position vector is . Let denote the ball's initial speed and the angle at which the ball is thrown.
Over time, its position changes according to , where the components are determined by
where is the acceleration due to gravity. We know the ball is in the air for 4.5 seconds and that it travels a horizontal distance of 45 meters, which means
Divide the second equation by the first to eliminate , and we can solve for , expecting some solution within :
Then plugging this into either equation above will tell us the ball's initial speed:
Answer:
2 m/s²
Explanation:
From the given information:
The first mass m_1 = 0.6 kg
The second mass m_2 = 0.3 kg
The magnitude for the acceleration of 0.3 kg is:
a = net force/ effective mass
Mathematically, it can be computed as follows:
a ≅ 2 m/s²
I think water vapour is the most important gas for understanding atmospheric processes.
correct me if i am wrong....... :)
The acceleration due to gravity is given as:
g = GM/r²
<h3>
Derivation of gravitational acceleration:</h3>
According to Newton's second law of motion,
F = ma
where,
F = force
m = mass
a = acceleration
According to Newton's law of gravity,
F<em>g </em>= GMm/(r + h)²
F<em>g = </em>gravitational force
From Newton's second law of motion,
F<em>g </em>= ma
a = F<em>g</em>/m
We can refer to "a" as "g"
a = g = GMm/(m)(r + h)²
g = GM/(r + h)²
When the object is on or close to the surface, the value of g is constant and height has no considerable impact. Hence, it can be written as,
g = GM/r²
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The sequence of energy transformations from the moment the ball is dropped to the moment the board is bent to its maximum extent and the ball is at rest is as follows:
1. The ball has potential energy (gravitational potential energy) from being held above the board.
2. As the ball is dropped, it gains kinetic energy as it accelerates to the ground.
3. When the ball hits the board, the kinetic energy is converted into elastic potential energy as the board bends.
4. As the board continues to bend, the elastic potential energy is converted into thermal energy.
5. Finally, when the board reaches its maximum extent, the ball is at rest and its kinetic energy has been completely converted into thermal energy.
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