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Travka [436]
4 years ago
15

A spider twirls a 25 mg fruit fly around in a circle with radius 17.6 cm at the end of a web. If the velocity of the fly is 110

cm/s, what is the centripetal force acting on the fly?
Physics
1 answer:
olchik [2.2K]4 years ago
8 0

Answer:

Fc =  1.7x10^-4 N

Explanation:

Convert everything to proper units:

m = 25mg = 2.5x10^-5 kg

r = 17.6cm = 0.176m

v = 110cm/s = 1.1m/s

the formula for centripetal force is Fc = mv^2 / r

Plug everything and solve for Fc;

fc = (2.5x10^-5)(1.1^2) / 0.176

Fc =  1.7x10^-4 N

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A 2.2-m-long steel rod must not stretch more than 1.2 mm when it is subjected to a 8.5-kN tension force. Knowing that E = 200 GP
kodGreya [7K]

Answer:

a) 0.00996 m

b) 109090909 Pa

Explanation:

Unit conversions:

E = 200GPa = 200\times10^9 Pa

1.2 mm = 0.0012 m

8.5 kN = 8500 N

If the 2.2m rod cannot stretch more than 0.0012 m, its maximum strain is

\epsilon = \frac{\Delta L}{L} = \frac{0.0012}{2.2} = 0.000545455

With elastic modulus being E = 200 GPa, then its maximum stress must be

\sigma = E\epsilon = 200\times10^9*0.000545455 = 109090909 Pa

Knowing the tension force being F = 8500 N, we can calculate the appropriate cross section area

A = \frac{F}{\sigma} = \frac{8500}{109090909} = 7.79\times10^{-5}m^2

And its corresponding diameter is

A = \pi d^2/4

7.79\times10^{-5} = \pi d^2/4

d^2 = \frac{4*7.79\times10^{-5}}{\pi} = 9.92\times10^{-5}

d = \sqrt{9.92\times10^{-5}} = 0.00996 m \approx 1 cm

7 0
3 years ago
A 3.00 × 10^-6 kg ant rides the second hand of an enormous vertical wall clock. The ant smoothly sweeps a circle of radius 50.0
kotykmax [81]

Answer:

1.65×10⁻⁶ N

Explanation:

m = Mass of ant = 3\times 10^{-6}\ kg

r = Radius = 50 m

t = Time taken to complete on rotation = 60 seconds

Angular velocity

\omega=\frac{2\pi}{t}\\\Rightarrow \omega=\frac{2\pi}{60}

Centripetal acceleration is force that is acting outward

F_c=m\omega^2r\\\Rightarrow F_c=3\times 10^{-6}\times \left(\frac{2\pi}{60}\right)^2\times 50\\\Rightarrow F_c=1.65\times 10^{-6}\ N

The magnitude of the upward force felt by the ant due to the second hand would be 1.65×10⁻⁶ N

4 0
3 years ago
Place the balloon in a bell jar. If available also add some shaving cream and fresh marshmallows. Ask the instructor for help if
irina [24]

Answer:

The balloon will collapse

Explanation:

When air is removed from the bell jar, the balloon will collapse if the internal pressure from the balloon does not balance the atmospheric pressure from the surroundings.

5 0
3 years ago
14. Why is it cooler to wear a white shirt than a black shirt on a hot, sunny day?
zzz [600]

Answer:

White or lighter colored, shirt REFLECTS most of the visible wavelengths or all colors of light while a black or dark shirt ABSORBS more wavelengths.

So, Absorbed radiation is converted into heat, making the darker or black shirt warmer to wear.

 

<u>-TheUnknownScientist</u><u> 72</u>

7 0
3 years ago
Which best describes her speed and velocity? (There are 60 seconds in 1 minute.) Her speed is 4.4 m/s, and her velocity is 0 m/s
Georgia [21]

Answer:

A

Explanation:

Yw :)

6 0
3 years ago
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