In: Physics
Louise (80 lbs) and Tina (100 lbs) are going to have a jumping contest. To determine who has to do the dinner dishes. Answer the following questions about their contest.
1.During the propulsive phase of the jump if Louise exerts an average of 1.3 times her body weight for .4 seconds and Tina exerts an average of 1.1 times her body weight for 0.7 seconds what will their take-off velocities be?
2. Who jumps higher? Who is in the air longer? (Be sure to calculate each of their jump heights and each of their time in the air to determine
First, I will convert their weight to Newtons
Louise-
Tina -
For the purpose of this problem,we will also need their weight in kilograms
Louise-
Tina-
Part 1
To calculate their velocity, we need to find out the impulse, ot the momentum they added.
Her velocity is
Her velocity is
Part B
The height of the jump can be determined by the formula
The time in the air will be double the time they take to reach the top, at which point their velocity will be zero. Therefore, we consider a deceleration equal to and a final velocity of zero.
This time doubled will be the time in the air
Therefore, time in air is
Therefore, time in air is