A trapezoid shaped dam is 100 meters wide at the top, 80 meters wide at the bottom, and 40 meters deep. To find the total force exerted on the dam by the water, how would you set up the integral?

Explanation:

2. Heat gained by tap1 = mass1 × SHC × change in temperature

= mass1 × 4200 × (40 - 26)

= mass1 × 58800

Heat lost by tap 2 = mass2 × SHC × change in temperature

= mass2 × 4200 × (82 - 40)

= mass2 × 176400

Heat gained = heat lost

mass1 × 58800 = mass2 × 176400

Ratio of mass 1 to mass 2 = 58800mass1 : 176400mass2

= 1 : 3

Answer:

force on brake shoes is 10 N

Explanation:

for the master cylinder;

force applied = 140 N

diameter = 14d

for brake cylinder;

force applied on the brake shoe by the brake cylinder f = ?

diameter = d

The pressure will be transmitted undiminished from the master cylinder to the brake cylinder according to pascals pressure law.

pressure = force/area

but cross sectional area is proportional to diameter of the cylinder

therefore

[tex]\frac{140}{14d } = \frac{f}{d }[/tex]

the diameters will cancel out, and we're left with

force on brake shoes = 10 N

Answer:

Option A. a

Explanation:

Motion variables include:

1. Final velocity (vf).

2. Initial velocity (vi).

3. Time (t).

4. Acceleration (a)

5. Distance (x)

Considering the equation given in the question:

Δx = ½(vf + vi) t

We can see that the acceleration (a) is missing in the equation.

Answer:

Work done, W = 181238.4 J

Explanation:

We have,

Mass of a car, m = 1500 kg

Initial speed, u = 50 km/h = 13.88 m/s

Final speed, v = 75 km/h = 20.84 m/s

Let W is the work done. It is equal to the change in kinetic energy of the car. So,

[tex]W=\dfrac{1}{2}m(v^2-u^2)\\\\W=\dfrac{1}{2}\times 1500\times ((20.84)^2-(13.88)^2)\\\\W=181238.4\ J[/tex]

So, 181238.4 J of work was done by the car.

Answer:

it shows that co2 is absorbed by the atmosphere.

when the animals respire they produce co2 which is release in atmosphere and in presence of sunlight and chlorophyll the plants manufacturs the food and releases the oxygen in the atmosphere .

hope it helps..

Answer:

Its A

Explanation:

Answer:

(B)

Explanation:

Because what ever angle the surface is, the light will reflect of of it perpendicular.

Answer:

25.13 ft

Explanation:

r = 4 feet

ω=0.25 revolution per minute

=1 revolution in  4 minutes  

total number of revolution N = 1 (in 4 minutes )

v=rω

distance traveled = 2×N×π×r

=2×1×π×4  

=8π

= 25.13ft in 4mins

Answer:

t = 2 seconds

Explanation:

In 2nd question, the question is given the attached figure.

Initial speed of the bus, u = 0

Acceleration of the bus, a = 8 m/s²

Final speed, v = 16 m/s

We need to find the time taken by the car to reach the stop. Acceleration of an object is given by :

[tex]a=\dfrac{v-u}{t}[/tex]

t is time taken

[tex]t=\dfrac{v-u}{a}\\\\t=\dfrac{16-0}{8}\\\\t=2\ s[/tex]

The bus will take 2 seconds to reach the stop.

Answer:

12m

Explanation:

To obtain the answer to the question given, we must observe the characteristics of image formed by a plane mirror.

The image formed by a plane mirror have the following characteristics:

1. Laterally inverted.

2. Same distance as the object from the mirror.

3. Same height as the object.

4. Virtual.

With the above information, we can calculate the distance between the boy and his image as follow:

Initially:

Object distance (u) = 4m

Image distance (v) = 4m

The boy moved 2m away, therefore:

Object distance (u) = 2 + 4 = 6m

Image distanc(v) = 2 + 4 = 6m

The distance between the boy and his image will be the sum of his distance (u) and image distance (v) i.e (u + v)

The distance between the boy and his image = 6 + 6 = 12m

Therefore, the distance between the boy and his image is 12m.

Answer:

F = 8.23 × 10⁻⁸N

Explanation:

F= kq²/r²

k= 9×10⁹Nm²/C²

q= 1.6×10⁻¹⁹C

r= 5.29×10⁻¹¹m

F= 9×10⁹× (1.6×10⁻¹⁹)²/  (5.29×10⁻¹¹)²

F = 8.23 × 10⁻⁸N

Answer: 20 minutes

Explanation:

Given the following :

Average speed of train = 120km/hr

Distance = 40km.

The time take by the train moving at an average speed of 120km/hr to cover a distance of 40km due is ;

Recall:

Speed = distance / time

Therefore,

Time taken = distance covered / speed

Time taken = 40km / 120km/hr

Time taken = 1/ 3 hr

Therefore, 1/3 rd of an hour equals

1/3 × 60 = 20 minutes.

Time taken) 20 minutes

Time taken by tain to cover distance is 20 minutes as:

Distance= 40 km

Speed= 120 km/h

Time= distance/speed

= 40/120

= 1/3 hour

= 20 min

or  =0.33 hrs

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Answer:

104.9 m

5.63 s

45.3 m/s

Explanation:

Given:

y₀ = 100 m

v₀ = 9.8 m/s

a = -9.8 m/s²

Find: y when v = 0 m/s

v² = v₀² + 2a (y − y₀)

(0 m/s)² = (9.8 m/s)² + 2 (-9.8 m/s²) (y − 100 m)

y = 104.9 m

Find: t when y = 0 m

y = y₀ + v₀ t + ½ at²

0 m = 100 m + (9.8 m/s) t + ½ (-9.8 m/s²) t²

0 = 100 + 9.8t − 4.9t²

t = [ -9.8 ± √(9.8² − 4(-4.9)(100)) ] / 2(-4.9)

t = (-9.8 ± 45.3) / -9.8

t = 5.63 s

Find: v when y = 0 m

v² = v₀² + 2a (y − y₀)

v² = (9.8 m/s)² + 2 (-9.8 m/s²) (0 m − 100 m)

v = -45.3 m/s

|v| = 45.3 m/s

Answer:

we should not drop a magnet on the floor because the magnets tend to lose magnetism gradually and become weak over a period of time if they are not stored properly.

Answer:

Well depending on the floor like say if it was a wooden floor the magnet might lose it magnetism, if concrete floor the magnetic brake and still lose it magnetism, if a metal floor the magnet would stick not sure if it wood lose it magnetism or not but the possibilities still there, basically what I'm saying is the magnet would lose its magnetism if it were to interact with the floor maybe temporary or maybe permanently.

for those with with a learning disability it's a

Explanation:

Answer:

Ohm's Law:

[tex]V = IR[/tex]

Where V is voltage, I is current and R is resistance

While,

[tex]P = IV[/tex]

Where P is power, I is current and V is voltage (or potential difference)

So, Electrical power is the product of current and potential difference.

Answer:

density=mass/volume

39.943/22.7=1.75

Explanation:

Answer:

hope its helpful to uh...

Answer:

Muscle size and training specifiicty

Explanation:

It depends on all other factors such as anatomy and psychology, muscle fiber recruitment, motor pattern development and muscle memory but to increase modifiable strength, size plays no big role.

Answer:

They move outwards.

They don't intersect each other at any point.

They show the electric field.

Explanation:

Answer:

Please read the answer below

Explanation:

the nature of these lines refers to the fact that positive charges generate field lines that are directed out of the positive charges, and in turn are directed towards some negative charge present somewhere in the universe.

By consensus, the electric field lines leave the positive charges and enter the negative charges. That is the reason  why in a scheme like the shown in the image, is considered implicitly the existence of a negative charge, in some place of the universe.

Answer:

1.) Magnitude = 5596 N

2.) Direction = 60 degrees

Explanation: You are given that the breakdown vehicle A is exerting a force of 4000 N at angle 45 degree to the vertical and breakdown vehicle B is exerting a force of 2000 N

Let us resolve the two forces into X and Y component

Sum of the forces in the X - component will be 4000 × cos 45 = 2828.43 N

Sum of the forces in the Y - component will be 2000 + ( 4000 × sin 45 )

= 2000 + 2828.43

= 4828.43 N

The resultant force R will be

R = sqrt ( X^2 + Y^2 )

Substitutes the forces at X component and Y component into the formula

R = sqrt ( 2828.43^2 + 4828.43^2 )

R = sqrt ( 31313752.53 )

R = 5595.87 N

The direction will be

Tan Ø = Y/X

Substitute Y and X into the formula

Tan Ø = 4828.43 / 2828.43

Tan Ø = 1.707106

Ø = tan^-1( 1.707106 )

Ø = 59.64 degree

Therefore, approximately, the magnitude and direction of the resultant force on the truck are 5596 N and 60 degree respectively.

Answer:

Part A)

Since all of the resistors have equal resistance, hence for finding even only 1 branch It will be fine because current will be the same for all branches.

=> [tex]I = \frac{V}{R_{1} }[/tex]

=> [tex]I = \frac{30}{15}[/tex]

=> I = 2 A

Part B)

Equivalent resistance for parallel circuits is the sum of reciprocals of each resistor.

=> [tex]\frac{1}{R} = \frac{1}{R_{1}}+\frac{1}{R_{2}} +\frac{1}{R_{3}}[/tex]  

=> [tex]\frac{1}{R} = \frac{1}{15}+ \frac{1}{15}+\frac{1}{15}[/tex]

=> [tex]\frac{1}{R} = \frac{3}{15}[/tex]

=> R = 15/3

=> R = 5 ohms

Part C)

I = V/R

Where I is current, V is voltage and R is the equivalent resistance

=> I = 30/5

=> I = 6 A

Answer:

c) Both the parts will weigh the same

Explanation:

center of gravity is based on weight so if you cut down the center of gravity you would have 2 equal parts

(might be D if it is cutting against the center of gravity)

Answer:

0.8 kilogram

Explanation:

Mass:This can be defined as the quantity of matter a body contained. The S.I unit of mass if kg.

From the question,

M = mv................. Equation 1

Where M = momentum, m = mass. V = velocity

make m the subject of the equation

m = M/v.............. Equation 2

Given: M = 8.0 kilogram meters/second, v = 10 meters/second

Substitute these values into equation 2

m = 8.0/10

m = 0.8 kilogram

Answer:

They're made of silicon and oxygen.

Explanation:

Answer:

circular motion

Explanation:

hope this helps you :)

Answer:

Centripetal motion

Explanation:

As a motorcycle takes a sharp turn the type of motion that occurs is called centripetal motion

Answer:

B. A large number of atoms move from one place to another

Explanation:

Convection is heat transfer by the movement of atoms of a substance from one region to another across a temperature gradient. Since atoms of solids are rigidly held in place, convection only occurs in liquids and gases since they flow.

Convection occurs when the temperature of one region of a fluid (liquid or gas) is higher than its other region. There is thus a mass movement of atoms from one region to the other due to a temperature difference. The atoms will continue to move to the region of lower temperature until the temperature of both regions are the same at an equilibrium temperature.

Explanation:

100 m / (1.20 m) = 83.3

100 m / (0.75 m) = 133.3

Rounded up, the first sprinter takes 84 steps, and the second sprinter takes 134 steps.

Answer:

The expansion and contraction of materials can also cause problems. For example, bridges expand in the summer heat and need special joints to stop them bending out of shape.A bimetallic strip has two metal strips glued together. One of these metals expands more for each degree temperature rise than that other.

Answer: B.) HYDROPLANE

Explanation: The term hydroplane can be used to refer to a condition which usually occur during a downpour or on surfaces covered by water. It occurs when water forms a barrier or comes in between the frictional grip which occurs between the road surface and the car tyres. The contact between the car tyres and the road surface is supposed to give adequate frictional support which prevents the car from skidding or skidding uncontrollably on the road surface. However, when water comes invetween the surface, traction is lost and skidding results due to very low Coefficient of friction between the road and Tyre which was supposed to provide a firm grip between the tyres and the road surface.

When a vehicle is traveling on wet or slick roads, hydroplaning can occur. The correct answer is b) hydroplane.

When a vehicle is traveling on wet or slick roads, hydroplaning can occur. Hydroplaning happens when a layer of water builds up between the tires of the vehicle and the road surface, leading to a loss of traction.

This loss of traction can cause the vehicle to skid or slide, making it difficult to control. The tires ride on top of the water rather than maintaining contact with the road, resulting in reduced traction and control of the vehicle.

Therefore, When a vehicle is traveling on wet or slick roads, hydroplaning can occur. The correct answer is b) hydroplane.

To know more about hydroplaning:

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Answer:

An Electric "charge" is a property of matter that causes a force to repel or attract when placed into a magnetic field. These charges can be replicated into positive and negative electrons when made from a chemical reaction.

Answer:

an electri

Explanation:

Answer:

An object moving in certain direction with an acceleration in the perpendicular direction. The above condition is possible . Example of such situation in life would be when stone tied to a string whirling in a circular path

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