1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tatiana [17]
3 years ago
7

An archer fish launches a droplet of water from the surface of a small lake at an angle of 70° above the horizontal. He is aimin

g at a juicy spider sitting on a leaf 40 cm to the east and on a branch 23 cm above the water surface. The fish is trying to knock the spider into the water so that the fish can eat the spider. (a) What must the speed of the water droplet be for the the fish to be successful?
Physics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

a). v=2776 m/s

Explanation:

The speed of the water droplet for the fish be successful is

Taking the distance in axis 'x' and 'y'

x_{tx}=40cm\frac{1m}{100cm}=0.40m\\x_{ty}=23cm\frac{1m}{100cm}=0.23m

The time is the velocity in axis 'x' with the angle 70 so

t=\frac{0.40m}{v_{x}*cos(70)}

Now using the time in terms of velocity the motion in axis 'y' can find the velocity to be the fish successful

x_{yf}=x_{yo}+v_{o}*t+\frac{1}{2}*g*t^{2}\\0.23m=0.40m\frac{vo*sin(70)}{vo*cos(70)} +\frac{1}{2}*9.8*(\frac{0.40}{vo*cos(70)} )^{2}\\0.23m=0.40m*vo*tan(70)+4.9*(\frac{0.16m^{2} }{vo^{2} *cos(70)^{2} }) \\vo^{2}cos(70)^{2}=\frac{0.16m^{2} }{0.177}\\vo=\sqrt{\frac{0.9021}{cos(70)^{2}}} \\vo=2.776 \frac{m}{s}

You might be interested in
A man weighs himself twice in an elevator. When the elevator is at rest, he weighs 824 N; when the elevator starts moving upward
kifflom [539]

Answer: c. 1.3 m/s^2

Explanation:

When he is at rest, is weight can be calculated as:

W = g*m

where:

m = mass of the man

g = gravitational acceleration = 9.8m/s^2

We know that at rest his weight is W = 824N, then we have:

824N = m*9.8m/s^2

824N/(9.8m/s^2) = m = 84.1 kg

Now, when the elevators moves up with an acceleration a, the acceleration that the man inside fells down is g + a.

Then the new weight is calculated as:

W = m*(g + a)

and we know that in this case:

W = 932N

g = 9.8m/s^2

m = 84.1 kg

Then we can find the value of a if we solve:

932N = 84.1kg*(9.8m/s^2 + a)

932N/84.1kg = 11.1 m/s^2 = 9.8m/s^2 + a

11.1 m/s^2 - 9.8m/s^2 = a = 1.3 m/s^2

The correct option is C

3 0
3 years ago
A horizontal compass is placed 21 cm due south from a straight vertical wire carrying a 36 a current downward. in what direction
Anit [1.1K]

 <span>
The needle of a compass will always lies along the magnetic field lines of the earth. 
A magnetic declination at a point on the earth’s surface equal to zero implies that 
the horizontal component of the earth’s magnetic field line at that specific point lies along 
the line of the north-south magnetic poles. </span>

The presence of a current-carrying wire creates an additional <span>
magnetic field that combines with the earth’s magnetic field. Since magnetic 
<span>fields are vector quantities, therefore the magnetic field of the earth and the magnetic field of the vertical wire must be combined vectorially. </span></span>

<span>
Where:</span>

B1 = magnetic field of the earth along the x-axis = 0.45 × 10 ⁻ ⁴ T

B2 = magnetic field due to the straight vertical wire along the y-axis

We can calculate for B2 using Amperes Law:

B2 = μ₀ i / [ 2 π R ]

B2 = [ 4π × 10 ⁻ ⁷ T • m / A ] ( 36 A ) / [ 2 π (0.21 m ) ] <span>
B2 = 5.97 × 10 ⁻ ⁵ T = 0.60 × 10 ⁻ ⁴ T </span>

The angle can be calculated using tan function:<span>
tan θ = y / x = B₂ / B₁ = 0.60 × 10 ⁻ ⁴ T / 0.45 × 10 ⁻ ⁴ T <span>
tan θ = 1.326</span></span>

θ = 53°

<span>
<span>The compass needle points along the direction of 53° west of north.</span></span>

8 0
4 years ago
PLEASE HELP ME WITH THIS ONE QUESTION
Vlad [161]

Answer: 7.95^{\circ}C

Explanation:

Given

Mass of water is m_1=1\ kg

mass of ice is m_2=0.1\ kg

Latent heat of fusion L=3.33\times 10^5\ kJ/kg

The heat capacity of water is c_{w}=4186\ J/kg^{\circ}C

Suppose water is at  T^{\circ} C  and it reaches to 0^{\circ}C to melt the ice

the heat released by water must be equivalent to heat absorbed by the ice

\therefore \quad m_1c_w(T-0)=m_2\times L\\\Rightarrow 1\times 4186\times T=0.1\times 3.33\times 10^5\\\Rightarrow T=7.95^{\circ}C

6 0
3 years ago
You have an empty 20 oz. soda bottle and you blow air over the opening to excite a fundamental standing wave. Now, you slice off
Tatiana [17]

Answer:

The frequency of the standing wave in the second case is higher than that in the first case

Explanation:

The frequency and wavelength of a wave are related.

The moment you sliced the bottle, you've reduced the wavelength of the bottle.

When wavelength decreases, frequency increases and vice versa.

So, When frequency increases in the second case, more wave crests pass a fixed point each second. That means the wavelength shortens. So, as frequency increases, wavelength decreases. The opposite is also true—as frequency decreases, wavelength increases.

3 0
3 years ago
What is gravitational force??​
strojnjashka [21]

Answer:

the force of attraction between all masses in the universe

Explanation:

<em>Have a nice day </em>:)

8 0
3 years ago
Other questions:
  • 3. An automobile accelerates 1.77 m/sover 6.00 s to reach the freeway speed at
    9·1 answer
  • A fighter bomber is making a bombing run flying horizontally at 500 knots (256m/s) at an altitude of 100.0m.
    13·1 answer
  • The radar system of a navy cruiser transmits at a wavelength of 2.0 cm, from a circular antenna with a diameter of 2.0 m. At a r
    10·1 answer
  • A transverse wave on a string is described by the following wave function.y = (0.090 m) sin (px/11 + 4pt)(a) Determine the trans
    11·1 answer
  • When an object is turning around, is it also at rest at the point?
    5·2 answers
  • ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring w
    8·2 answers
  • If you guys know this answers please help me.
    8·1 answer
  • The density of ice can help preserve the habitats of aquatic organisms, but it can also cause the death of an organism. Which st
    13·1 answer
  • A skydiver jumps from an airplane that is moving at 50 meters per second at a height of 1,000 meters what describes the skydiver
    7·1 answer
  • What is the weight of a 3.5 kg dog on the moon? acceleration of gravity is 1.63 m/s?)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!