Answer:
Calculate the change in gravitational potential energy as the truck goes downhill Mgh = (10,000 kg)(9.80 m/s2)(75.0 m) = 7.35 × 106 J.
Calculate the temperature from the heat transferred using Q = Mgh and
Δ
T
=
Q
m
c
, where m is the mass of the brake material. Insert the values m = 100 kg and c = 800 J/kg ⋅ ºC to find
(
7.35
×
10
6
J
)
100
kg
800
J/kg
∘
C
92
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Answers & Comments
Answer:
Calculate the change in gravitational potential energy as the truck goes downhill Mgh = (10,000 kg)(9.80 m/s2)(75.0 m) = 7.35 × 106 J.
Calculate the temperature from the heat transferred using Q = Mgh and
Δ
T
=
Q
m
c
, where m is the mass of the brake material. Insert the values m = 100 kg and c = 800 J/kg ⋅ ºC to find
Δ
T
=
(
7.35
×
10
6
J
)
(
100
kg
)
(
800
J/kg
∘
C
)
=
92
∘
C