A ball whose mass is 0.4 kg hits the floor with a speed of 4 m/s and rebounds upward with a speed of 2 m/s. If the ball was in c
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Answer:
8.6 m
Explanation:
The motion of a soccer ball is a motion of a projectile, with a uniform motion along the horizontal (x-) direction and an accelerated motion along the vertical (y-) direction, with constant acceleration towards the ground (we take upward as positive direction, so acceleration is negative).
The initial velocity along the vertical direction is
Now we can consider the motion along the vertical direction only. the vertical velocity at time t is given by:
At the point of maximum height, , so we can find the time t at which the ball reaches the maximum height:
And now we can use the equation of motion along the y-axis to find the vertical position of the ball at t=1.33 s, which corresponds to the maximum height of the ball:
To solve this problem we will use the concepts related to hydrostatic pressure. Which determines the pressure of a body at a given depth of a liquid.
Mathematically this can be described as
Here
= Density
g = Gravity
h = Height (Depth)
If we replace the values given in the equation we will have to
Therefore the pressure at the bottom will be 9.8kPa