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horrorfan [7]
3 years ago
9

How significant is air resistance for projectile motion?

Physics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

Air resistance have some significant role in projectile motion if the motion lasts for some time.

Explanation:

  • Air resistance or air drag seems to be important in daily actvities and games like baseball.
  • The trajectory of the projectile with or without air resistance or air drag is totally different.
  • When we neglect air drag, the only acting force is gravity against the motion so the maximum height and range are suppose Hmax and R.
  • Now, when we consider air drag, it is important to notice that there are two forces against the motion of the ball and along the direction of gravity. It seems that both maximum height and range are lesser Hmax'< Hmax and R'<R.
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Match the indices of refraction with the corresponding effects on the waves.
Yanka [14]

Answer:

B) waves speed up

C) waves bend away from the normal

Explanation:

The index of refraction of a material is the ratio between the  speed of light in a vacuum and the speed of light in that medium:

n=\frac{c}{v}

where

c is the speed of light in a vacuum

v is the speed of light in the medium

We can re-arrange this equation as:

v=\frac{c}{n}

So from this we already see that if the index of refraction is lower, the speed of light in the medium will be higher, so one correct option is

B) waves speed up

Moreover, when light enters a medium bends according to Snell's Law:

n_1 sin \theta_1 = n_2 sin \theta_2

where

n_1 ,n_2 are the index of refraction of the 1st and 2nd medium

\theta_1,\theta_2are the angles made by the incident ray and refracted ray with the normal to the interface

We can rewrite the equation as

sin \theta_2 = \frac{n_1}{n_2}sin \theta_1

So we see that if the index of refraction of the second medium is lower (n_2), then the ratio \frac{n_1}{n_2} is larger than 1, so the angle of refraction is larger than the angle of incidence:

\theta_2>\theta_1

This means that the wave will bend away from the normal. So the other correct option is

C) waves bend away from the normal

3 0
3 years ago
An iron railroad rail is 700 ft long when the temperature is 30°C. What is its length when the temperature is – 10°C?
MAVERICK [17]

Answer:

699.67ft

Explanation:

We are given with,

  • α = 1.2×10⁻⁵ / °C
  • L₀ = 700 ft
  • ΔT = -10°C − 30°C = -40°C

Now, We have to find ΔL:

  • ΔL = (1.2×10⁻⁵ / °C) (700 ft) (-40°C)
  • ΔL = −0.336

Rounded to two significant figures, the change in length is −0.33ft.

<u>Therefore, the final length is approximately 700 ft − 0.33 ft = 699.67ft</u>.

6 0
3 years ago
Sarah weighs 500 newtons. She climbs a set of stairs 6 meters high. How much work does she do? 83 J Work equals force times dist
jek_recluse [69]

Answer:

<em>Answer: Work equals force times distance. 3,000 J</em>

Explanation:

Work Done By A Force

When some force \vec F is applied and a displacement \vec r is achieved, the work done by the force is given by

W=\vec F \cdot \vec r

Note that the work is a scalar magnitude as the result of the dot-product of two vectors. If the force and the displacement are parallel, then the vectors can be replaced as its magnitudes F,x and the work is

W=F.x

The dot product becomes a simple arithmetic product, i.e force times distance.

Sara weighs 500 Nw and she climbs up a 6 meter set of stairs. She needs to lift her weight up, so the force is the weight and the distance is the height of the stairs, thus

W=500\ Nw.\ 6\ m=3,000\ Joule

Answer: Work equals force times distance. 3,000 J

7 0
3 years ago
Two charged spheres are 20 cm apart and exert an attractive force of 8 x 10-9 n on each other. What will the force of attraction
Pavel [41]

Answer:

3.2\cdot 10^{-8} N

Explanation:

The inital electrostatic force between the two spheres is given by:

F=k\frac{q_1 q_2}{r^2}

where

F=8\cdot 10^{-9} N is the initial force

k is the Coulomb's constant

q1 and q2 are the charges on the two spheres

r is the distance between the two spheres

The problem tells us that the two spheres are moved from a distance of r=20 cm to a distance of r'=10 cm. So we have

r'=\frac{r}{2}

Therefore, the new electrostatic force will be

F'=k\frac{q_1 q_2}{(r')^2}=k\frac{q_1 q_2}{(r/2)^2}=4k\frac{q_1 q_2}{r^2}=4F

So the force has increased by a factor 4. By using F=8\cdot 10^{-9} N, we find

F'=4(8\cdot 10^{-9} N)=3.2\cdot 10^{-8} N

6 0
3 years ago
"Angel Falls in southeastern Venezuela is the highest uninterrupted waterfall in the world, dropping 979 m (3212 ft). Ignoring a
Furkat [3]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value  is v  = 3.57 \  m/s

Explanation:

From the question we are told that

  The depth  is  d =  979 \  m

   The time taken for water to fall to below the river is  t =  14 \ s

   The  horizontal distance from the base of the vertical cliff is  h  =  50 \  m

     Generally  the horizontal speed at the top is mathematically represented as

         v  =  \frac{h}{t}

=>      v  =  \frac{  50}{ 14 }

=>     v  = 3.57 \  m/s

4 0
3 years ago
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