Answers:
a) 9.035 s
b) -88.543 m/s
Explanation:
The described situation is related to vertical motion (especifically free fall) and the equations that will be useful are:
(1)
(2)
Where:
is the final height of the steel ball
is the initial height of the steel ball
is the initial velocity of the steel ball (it was dropped)
is the final velocity of the steel ball
is the time it takes to the steel ball to reach the ground
is the acceleration due to gravity
<u>Knowing this, let's begin with the answers:</u>
<h2>a) Time it takes the steel ball to reach the ground</h2>
We will use equation (1) with the conditions listed above:
(3)
Isolating :
(4)
(5)
(6)
<h2>b) Final velocity of the steel ball</h2>
We will use equation (2) with the conditions explained above and the calculaated time:
(7)
(8)
(9) The negative sign indicates the direction of the velocity is downwards
Use Newton's 2nd law of motion.
Here it is:
Force = (mass) x (acceleration)
= (80 kg) x (-5 m/s²)
= -400 Newtons .
I called the acceleration negative because the player is slowing down.
The force comes out negative because it's in the direction opposite to
his motion.
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