Angelique, an acrobatic 60 kg pharmacy student, dives from atop a tall flagpole into a swimming pool below. Assume no air friction and that conservation of energy applies to this case. Her potential energy at the top is 12 kJ (relative to the surface of the pool). a) How high is this flagpole above the swimming pool? b) What is her kinetic energy when her potential energy is reduced to only 2000 J? c) What is her speed just before she hits the water surface of the swimming pool?

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
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Question 3:
Angelique, an acrobatic 60 kg pharmacy student, dives from atop a tall flagpole into a
swimming pool below. Assume no air friction and that conservation of energy applies to this
case.
Her potential energy at the top is 12 kJ (relative to the surface of the pool).
a) How high is this flagpole above the swimming pool?
b) What is her kinetic energy when her potential energy is reduced to only 2000 J?
c) What is her speed just before she hits the water surface of the swimming pool?
Question 4:
A pharmacist from South Africa decided to relocate to Canada. He took two of his favourite
lamps with him rated at (40 W, 200V) and (100 W, 200V) respectively.
a) What are the resistances of the 40W and 100 W bulbs, respectively and which one will
shine the brightest? Will the resistance change if he moves to another country? Explain.
b) In Canada he discovers that they only use 120 V instead of 240 V. What will most likely
happen to the brightness of these lightbulbs if he plugged it into a socket in Canada?
Motivate your answer.
c) He now experiments with the 2 lightbulbs and connected it in series whilst in Canada.
What will most likely happen to the brightness of these lightbulbs (in SERIES) if he
plugged it into a socket in Canada? Motivate your answer with calculations.
Transcribed Image Text:Question 3: Angelique, an acrobatic 60 kg pharmacy student, dives from atop a tall flagpole into a swimming pool below. Assume no air friction and that conservation of energy applies to this case. Her potential energy at the top is 12 kJ (relative to the surface of the pool). a) How high is this flagpole above the swimming pool? b) What is her kinetic energy when her potential energy is reduced to only 2000 J? c) What is her speed just before she hits the water surface of the swimming pool? Question 4: A pharmacist from South Africa decided to relocate to Canada. He took two of his favourite lamps with him rated at (40 W, 200V) and (100 W, 200V) respectively. a) What are the resistances of the 40W and 100 W bulbs, respectively and which one will shine the brightest? Will the resistance change if he moves to another country? Explain. b) In Canada he discovers that they only use 120 V instead of 240 V. What will most likely happen to the brightness of these lightbulbs if he plugged it into a socket in Canada? Motivate your answer. c) He now experiments with the 2 lightbulbs and connected it in series whilst in Canada. What will most likely happen to the brightness of these lightbulbs (in SERIES) if he plugged it into a socket in Canada? Motivate your answer with calculations.
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