- #1

daga2222

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## Homework Statement

Audrey McLaughlin has a vehicle with a built-in rectangular swimming pool. The pool is 2.4m long, 1.4m wide, and is partly filled with water to a constant depth of 1.2m as shown. Calculate the minimum additional height, h, to avoid water spillage when the vehicle maintains a steady forward acceleration of 4.9m/s^2 on a horizontal road. Ignore and "sloshing" motion associated with changes in acceleration. Answer in cm.

Data: dimensions of tank are 2.4m long and 1.4m wide, and the water is filled to a height of 1.2m

The question is asking about the additional height that the tank must have to not have any water spillage.

Options:

A) 120cm

B) 107cm

C) 84cm

D) 60cm

E) 54cm

## Homework Equations

Net force?

Maybe conservation of energy equations?

## The Attempt at a Solution

The only way I can think of to solve this question is to find the angle of the net force acting on the water. I did this using components method, adding mg + (m x acceleration of truck (4.9m/s^2))

The angle i found allowed me construct a right angle triangle with which I used 1.2m or half the length of the tank as a side to calculate the opposide side or height. The answer i got was 120cm. (After subtracting 1.2m of water originally.)

If anyone could help me with this question or verify the answer I would appreciate it.