Usama A.

asked • 07/28/17

maths/physics question below, please answer

Need help answering P2, i know the answer to part 1. Im unsure how I work out P2. 
 
A car of mass 1.5 tonnes is driving up a hill, the hill makes an angle of 10 degrees to the
horizontal, at a constant 30km/h.
 
P1- Neglecting any friction, what is the power required from
the engine to drive the car up the hill under these conditions?

P2 -If the car takes 20 seconds to climb the hill, how much energy will the journey consume? If
the car now doubles its speed and so ascends the hill in just 10 seconds, how much
energy will the journey have consumed?

1 Expert Answer

By:

Arturo O. answered • 07/28/17

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Usama A.

hmm..i get that for P1 but where do I get the length of time interval from?
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07/28/17

Usama A.

i have power in kW/h do I times that by the 20 secs, this is a car. i dont think kw/h is the right unit
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07/28/17

Arturo O.

You are given the time intervals: 20 seconds in one case, and 10 seconds in the other.
 
Power has units of watts = joules/s
 
kW is a unit of power; kW/h is not.  
 
kW·h is a unit of energy.
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07/28/17

Usama A.

so from what I understand. 
 
My answer from PT which is 21.27 kW
 
I times that with the time (20 secs)
 
21.27 * 20 = 42.4
 
Is that my answer and if so, what is the unit for that? 
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07/28/17

Usama A.

Okay from what I understand

From the first part of the question. I got power, which is 21.27 kW

I times that with 20

21.27 * 20 = 425.4

is that my answer for the energy consumption question and if so whats the unit for it?
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07/28/17

Arturo O.

See my detailed solution in your second posting of this problem.
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07/28/17

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