Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
The relationship between work and kinetic energy and the definition of power allows to find the results for the questions about the climb of the mountain are:
a) The work is: W = 6.47 10⁵ J
b) The time is: t = 660 s
c) The power es: P = 980 W
d) The time is: t = 1.18 10³ s
Work and energy relationship.
The work is defined by the scalar product of force and distance and is equal to the change in kinetic energy.
W = ΔK.
Where W is work and K is kinetic energy.
a) Let's use the conservation of energy between the base of the hill and the height.
Starting point. Lower part of the hill.
Em₀ = K
Final point. The highest part of the hill
Em_f = U = m g h
We assume that it starts from rest in the lower part.
The energy is conserved .
Em₀ = Em_f
K = mgh
We substitute at work,
W = U- 0
W = 550 9.8 120
W = 6.47 10⁵ J
b) Indicate the time it took to climb the hill t = 11 minutes. Let's reduce to seconds.
t = 11 min ( [tex]\frac{60s}{1 min}[/tex] )
t = 660 s
Power definition.
c) The power at work per unit of time.
P = [tex]\frac{W}{t}[/tex]
P = [tex]\frac{6.47 \ 10^5 }{660}[/tex]
P = 980 W
d) The work to get to the top of the hill does not depend on time.
t= [tex]\frac{W}{P}[/tex]
t = [tex]\frac{6.47 \ 10^5}{ 550}[/tex]
t = 1.18 10³ s
In conclusion, using the relationship between work and kinetic energy and the definition of power, we can find the results for the questions about the climb of the mountain are:
a) The work is: W = 6.47 10⁵ J
b) The time is: t = 660 s
c) The power es: P = 980 W
d) The time is: t = 1.18 10³ s
Learn more about the relationship between work and energy here: brainly.com/question/18543656
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
