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tangare
14 days ago
15

(a) when rebuilding her car's engine, a physics major must exert 300 n of force to insert a dry steel piston into a steel cylind

er. what is the magnitude of the normal force between the piston and cylinder? (b) what is the magnitude of the force would she have to exert if the steel parts were oiled?
Physics
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Steve and Elsie are camping in the desert, but have decided to part ways. Steve heads north, at 8 AM, and walks steadily at 2 mi
Keith_Richards [3271]

Answer:

2.57 hours

Explanation:

Let t (in hours) represent the time it takes for Elsie to walk until they are separated by 25 miles. Since Steve starts 2 hours earlier, his time will be t + 2.

The distance covered by Steve heading north is s_s = 2(t + 2)

The distance Elsie travels heading west is s_e = 2.5t

The separation between Steve and Elsie is

\sqrt{s_s^2 + s_e^2} = \sqrt{(2(t+2))^2 + (2.5t)^2} = 25

We can solve for t by squaring both sides.

(2(t+2))^2 + (2.5t)^2 = 25^2 = 625

4(t+2)^2 + 6.25t^2 = 625

4(t^2 + 4t + 4) + 6.25t^2 = 625

10.25t^2 + 16t - 609 = 0

t= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

t= \frac{-16\pm \sqrt{(16)^2 - 4*(10.25)*(-109)}}{2*(10.25)}

t= \frac{-16\pm68.74}{20.5}

Therefore, t = 2.57 or t = -4.13.

Since t cannot be negative, we select t = 2.57 hours.

8 0
3 months ago
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