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Zoe Oneal

Zoe Oneal

Answered question

2020-10-18

An automobile has a mass of 1200 kg. What is its kinetic energy, in kJ, relative to the road when traveling at a velocity of 50 km/h? If the vehicle accelerates to 100 km/h, what is the change in kinetic energy, in kJ?

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Answer & Explanation

pivonie8

pivonie8

Skilled2020-10-19Added 91 answers

Let's solve:

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user_27qwe

user_27qwe

Skilled2021-12-09Added 375 answers

If there is precisely one output for each input, a relation is a function.
Because there are two possible outcomes for the input 2, namely 3 and 0, option D does not represent a function.

General Formula
Ke=12mv2
Formula for this problem
Ke=12m(v2)212m(v1)2

Givens
m=1200 kg
v2=100 km/hr=100 km/h[1 hour/3600sec][1000 m/1 km]=27.8 m/s
v1=50 km/hr=13.9 m/s

Substitution and work.
ΔKe=121200(27.8)2121200(13.9)2
ΔKe=463704115926
ΔKe=34778 Joules
ΔKe=34.8 kJ

The change is 34.8 kJ this implies that the car benefits.34.8 kJ

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