The force of friction is given in the scenario:
Force = 500 Newton
and the mass of the runner is 60 kg
To find the acceleration we need to use the relation between force, mass, and the acceleration of the object:
Where 'F' represents the force, 'm' represents the mass, and 'a' represents the acceleration.
Plugging the value of variables we get:
Solving for 'a' (acceleration) we get:
Newton/kilogram or meters/ second squared
So the acceleration of the runner is 8.33 meters/ second squared.
We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
We will use sum of geometric sequence formula to solve our given problem.
, where,
a = First term of sequence,
r = Common ratio,
n = Number of terms.
For our given problem ,
and
.
Therefore, the ball will travel 100 meters and option B is the correct choice.