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
wolverine [178]
3 years ago
8

A 12m long gate that is 4 m wide is placed against a body of water at an angle of 60 degrees. The gate is being pulled by a rope

placed 3 m from the top of the gate at 60 kN. If the water is 9 m deep, what is the minimum weight of the gate that will cause it to rotate clockwise
Physics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

Since the weight cannot take a negative value, it is concluded that the minimum weight required for the gate is zero, because the same pressure force will rotate the gate.

Explanation:

Given:

L = 12 m

F = 60 kN

w = 4 m

H = 9 m

The pressure force is:

F_{p} =\rho gAx=1000*9.8*\frac{9}{sin60} *4*\frac{9}{2} =1833.203kN

The center of pressure is:

h=\frac{\frac{(\frac{9}{sin60})^{3} *4 }{12}*sin^{2}60  }{\frac{9}{sin60}*4*\frac{9}{2}  } +\frac{9}{2} =6

If the moment is equal to zero,

F_{p} *(9-6)+W*\frac{L}{2} cos60=F*9\\1833.203*3+W*6*cos60=60*9\\W=-1653.2kN

You might be interested in
Two resistors have resistances R(smaller) and R(larger), where R(smaller) < R(larger). When the resistors are connected in se
ASHA 777 [7]

Answer:

R = 9.85 ohm , r = 0.85 ohm

Explanation:

Let the two resistances by r and R.

when they are connected in series:

V = 12 V

i = 1.12 A

The equivalent resistance when they are connected in series is

Rs = r + R

So, By using Ohm's law

V = i Rs

Rs = V / i = 12 / 1.12 = 10.7 ohm

R + r = 10.7 ohm    .... (1)

When they are connected in parallel:

V = 12 V

i = 9.39 A

The equivalent resistance when they are connected in parallel

R_{p}=\frac{R+r}{rR}

So, By using Ohm's law

V = i Rp

Rp = V / i = 12 / 9.39 = 1.28 ohm

\frac{R+r}{rR}=1.28    .... (2)

by substituting the value of R + r from equation (1) in equation (2), we get

r R = 8.36 ..... (3)

R-r = \sqrt{\left ( R+r \right )^{2}-4rR}

R-r = \sqrt{\left ( 10.7 \right )^{2}-4\times 8.36}=9 ..... (4)

By solvng equation (1) and (4), we get

R = 9.85 ohm , r = 0.85 ohm

8 0
3 years ago
A _____ has to do with the direction of a force​
Elenna [48]

Answer:

The "solid force"? ... The direction of the force always seems to be coming out of the solid surface. A direction which is perpendicular to the plane of a surface is said to be normal. The force that a solid surface exerts on anything in the normal direction is called the normal force.

Explanation:

i think i hope this helps

3 0
3 years ago
Read 2 more answers
What is meant by the statement,the linear expansivity of copper is 0.000017k
Aliun [14]

Answer:

The change in length per unit length per degree rise in temperature of copper is 0.000017k

Explanation:

Given that :

The linear expansivity of copper is 0.000017k. This simply means that ; for a given copper length, the length of such copper will increase by 0.000017k for every degree rose in temperature of the copper rod.

Therefore, the change in length per unit length per degree rise in temperature (k) is 0.000017

4 0
3 years ago
a racing car undergoes a uniform acceleration of 4.00m/s2. if the net force causing the acceleration is 3.00 times 10^3 N, what
yKpoI14uk [10]

Answer: 750Kg

Explanation:

Recall that force is the product of the mass M, of an object moving at a uniform acceleration.

i.e Force = Mass x Acceleration

In this case, Mass = ?

Force = 3.00 x 10^3 N = (3.00 x 1000N)

= 3000N

Uniform acceleration = 4.00m/s^2

Force = Mass x Acceleration

3000N = Mass x 4.00m/s^2

Mass = (3000N/4.00m/s^2)

Mass = 750Kg (The SI unit of mass is kilograms)

Thus, the mass of the car is 750Kg

4 0
3 years ago
The river that flows through rome is the _______.
gizmo_the_mogwai [7]
The river that flows through Rome is the Tiber.
4 0
3 years ago
Other questions:
  • An object begins at position x = 0 and moves one-dimensionally along the x-axis witļi a velocity v
    5·1 answer
  • Light enters air from water. The angle of refraction will be A. less than the angle of incidence. B. greater than or equal to th
    5·2 answers
  • Which jet stream flows around the sub-tropical high pressure systems and advects moisture along its poleward periphery?
    7·1 answer
  • A small 12.00g plastic ball is suspended by a string in a uniform, horizontal electric field with a magnitude of 10^3 N/C. If th
    10·1 answer
  • If it takes 100 N to get a 10 kg object to accelerate at 10m/s/s, how much force will it take to get a 20 kg object to accelerat
    14·1 answer
  • What does the definite crystalline structure of a mineral consist of
    5·1 answer
  • Write 3 major differences between a shadow and a image?
    9·2 answers
  • Please help!!!!! (and explain if you can) thank you so SO much!!! *will give brainliest*
    11·2 answers
  • What can be found in every skeletal muscle?
    12·2 answers
  • If you place a hot block of metal in room temperature water is it convection or conduction?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!