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amid [387]
3 years ago
5

Brittany is changing the tire of her car on a steep hill 22.4 m high. She stumbles and drops the 10.5-kg spare tire, which rolls

down the hill, starting with an initial speed of 2.10 m/s.
What is the speed of the tire at the top of the next hill, which is 8.59 m high?
Physics
1 answer:
iragen [17]3 years ago
5 0
If we assume that there is no friction between the tire and the ground, we can the use formula:
ΔKE + ΔPE = 0
where KE is the kinetic energy which is equal to 0.5mv²
and PE is the potential energy which is equal to mgh

Substituting the given values:
0.5 (10.5) (v2 - 2.10^2) + 10.5 (9.81) (8.59 - 22.4) = 0

Solving for v:
v = 16.59 m/s
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Calculate the first and second order angles for light of wavelength 400. nm and 700. nm of the grating contains 1.00 x 104 lines
Verdich [7]

Answer:

23.58^{\circ} and 53.13^{\circ}

44.43^{\circ}, second order does not exist

Explanation:

n = Number of lines grating = 1\times10^4\ \text{Lines/cm}

\lambda = Wavelength

m = Order

Distance between slits is given by

d=\dfrac{1}{n}\\\Rightarrow d=\dfrac{1}{1\times 10^4}\\\Rightarrow d=10^{-6}\ \text{m}

\lambda=400\ \text{nm}

m = 1

We have the relation

d\sin\theta=m\lambda\\\Rightarrow \theta=\sin^{-1}\dfrac{m\lambda}{d}\\\Rightarrow \theta=\sin^{-1}\dfrac{1\times 400\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=23.58^{\circ}

m = 2

\theta=\sin^{-1}\dfrac{2\times 400\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=53.13^{\circ}

The first and second order angles for light of wavelength 400 nm are 23.58^{\circ} and 53.13^{\circ}.

\lambda=700\ \text{nm}

m = 1

\theta=\sin^{-1}\dfrac{1\times 700\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=44.43^{\circ}

m = 2

\theta=\sin^{-1}\dfrac{2\times 700\times 10^{-9}}{10^{-6}}

Here \dfrac{2\times 700\times 10^{-9}}{10^{-6}}=1.4>1 so there is no second order angle for this case.

The first order angle for light of wavelength 700 nm are 44.43^{\circ}.

Second order angle does not exist.

5 0
3 years ago
What three variable factors determine the force of gravity between any two objects
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F = G*m1*m2/r^2

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3 years ago
Read 2 more answers
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