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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
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