question archive Candace (sister to Phineas) has taken up pole-vaulting for her school track & field team
Candace (sister to Phineas) has taken up pole-vaulting for her school track & field team
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Candace (sister to Phineas) has taken up pole-vaulting for her school track & field team. She approaches the takeoff point at a speed of 9.00 m/s, and we want to know how high she can vault.
a. At the end of her run, and before launching off the ground, Candace's energy is ALL PEg
or ALL KE?
b. At the peak of her vault, all of Candace's energy is ALL PEg or ALL KE.
c Assuming that only this speed determines the height to which she can rise, find the maximum height at which Candace can clear the bar.
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A. All KE
B. All PEg
C. 4.13m
Step-by-step explanation
A. All KE since the energy is from her velocity
B. All PEg since all of the kinetic energy is converted into the height and becomes potential energy
C. Using the formulas
KE=1/2mV²
PE=mgh
And KE=PE
KE=1/2m(9m/s)²
KE=40.5(m)m²/s²
KE=PE=mgh=40.5(m)m²/s²
h=(40.5m)/m(9.81)
h=4.13m
