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swat32
3 years ago
12

A woman on a bicycle traveling at 10 m/s on a horizontal road stops pedaling as she starts up a hill inclined at 4.0º to the hor

izontal. If friction forces are ignored, how far along the hill does she travel before stopping?

Physics
1 answer:
IrinaK [193]3 years ago
6 0
The kinetic energy K = 0.5 * m * v² must be equal to the potential energy U = m * g * h.

m mass
v velocity
h height
g = 9.81m/s²

The mass m cancels out:
0.5 * v² = g * h
Solve for height h and transform to distance traveled.
(sin (4°) = height / distance)

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Which of the following two elements will likely form an ionic bond?
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The answer is B.) I took the test. 
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A gun has a muzzle speed of 150 m/s. Find two angles of elevation that can be used to hit a target 800m away.
lorasvet [3.4K]

Answer:

Explanation:

u =  150 m/s

R = 800 m

The formula for the horizontal range is

R=\frac{u^{2}Sin2\theta }{g}

where, θ is angle of projection.

800=\frac{150^{2}Sin2\theta }{9.8}

Sin2θ = 0.348

2θ = 20.4°

θ = 10.2°

The range is same for the complementary angles.

So, the other angle is 90 - 10.2 = 79.8°

4 0
3 years ago
The temperature of the cosmic background radiation is measured to be 2.7 k. What is the wavelength of the peak in the spectral d
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Answer:

1.07\cdot 10^{-3} m

Explanation:

The peak wavelength of the spectral distribution can be found by using Wien's displacement law:

\lambda=\frac{b}{T}

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T is the absolute temperature

For the cosmic background radiation, the temperature is

T = 2.7 K

So, the corresponding peak wavelength is

\lambda=\frac{2.898\cdot 10^{-3} m\cdot K}{2.7 K}=1.07\cdot 10^{-3} m

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A rotating fan completes 1200 revolutions every minute. consider the tip of a blade, at a radius of 0.19 m. through what distanc
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The tip of the fan moves through the outer side of the circle.

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In this case radius of circular motion = 0.19 meter

So perimeter of circle = 2\pi*0.19 = 0.38\pi = 1.194 m

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