Answer:
Pls see attached file
Explanation:
A football is kicked from ground level with an initial velocity of 20.2 m/s at angle of 43.0 above the horizontal. How long, in
1 answer:
Given data
*The given initial velocity of the football is v = 20.2 m/s
*The angle above the horizontal is
*The value of the acceleration due to gravity is a = -9.8 m/s^2
The vertical component of the velocity is calculated as
The formula for the time required by the ball to reach the maximum height is given by the equation of motion as
*Here v_f = 0 m/s is the final velocity of the football at maximum height
Substitute the known values in the above expression as
The total time is taken by the football before it hits the ground is calculated as
You might be interested in
The elastic potential energy of a spring is given by
where k is the spring's constant and x is the displacement with respect to the relaxed position of the spring.
The work done by the spring is the negative of the potential energy difference between the final and initial condition of the spring:
In our problem, initially the spring is uncompressed, so
. Therefore, the work done by the spring when it is compressed until 
is
And this value is actually negative, because the box is responsible for the spring's compression, so the work is done by the box.
where k is the spring's constant and x is the displacement with respect to the relaxed position of the spring.
The work done by the spring is the negative of the potential energy difference between the final and initial condition of the spring:
In our problem, initially the spring is uncompressed, so
And this value is actually negative, because the box is responsible for the spring's compression, so the work is done by the box.