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stepladder [879]
3 years ago
14

When working with vectors, you will often see right triangles. What are the consistent properties of these triangles?

Physics
1 answer:
german3 years ago
4 0

Answer:

a) and c)

Explanation:

  • Any vector can be expressed as a vector sum of its x- and -y components, as follows:

        v = vₓ* x + vy* y

  • where vₓ = x- component, x= unit vector in the x direction, vy = y-component, y = unit vector in the y direction.
  • If we add the components graphically, using the head-to-tail method, it will be defined a right triangle, being the vector sum of both components (the vector itself) the hypotenuse of the triangle.
  • As both components are perpendicular, they will be always lined up with the x- and y- axes.
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You are the juror of a case involving a drunken driver whose 1041 kg sports car ran into a stationary 1928 kg station wagon stop
mina [271]
1. Find the force of friction between the sports car and the station wagon stuck together and the road. The total mass m = 1928kg + 1041kg = 2969kg. The only force in the x-direction is friction: F = μ*N = μ * m * g 
2. Find the acceleration due to friction: 
F = m*a =  μ * m * g => a = μ * g = 0.6 * 9.81
3. Find the time it took the two cars stuck together to slide 12m:
x = 0.5*a*t² 
t = sqrt(2*x / a) = sqrt(2 * x / (μ * g) )
4. Find the initial velocity of the two cars:
v = a*t = μ * g * sqrt(2 * x / (μ * g) ) = sqrt( 2 * x * μ * g)
5. Use the initial velocity of the two cars combined to find the velocity of the sports car. Momentum must be conserved:

m₁ mass of sports car
v₁ velocity of sports car before the crash
m₂ mass of station wagon
v₂ velocity of station wagon before the crash = 0
v velocity after the crash

m₁*v₁ + m₂*v₂ = (m₁+m₂) * v = m₁*v₁ 
v₁ = (m₁+m₂) * v / m₁ = (m₁+m₂) * sqrt( 2 * x * μ * g) / m₁
v₁ = 33.9 m/s


7 0
3 years ago
What is the unit for atomic mass
Sholpan [36]
An atomic mass unit (symbolized AMU or amu) is defined as precisely 1/12 the mass of an atom of carbon-12. The carbon-12 (C-12) atom has six protons and six neutrons in its nucleus.
3 0
3 years ago
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People often overestimate the clarity of their intentions in their electronic communications because they underestimate the impo
maksim [4K]

Answer:

People often overestimate the clarity of their intentions in their electronic communications because they underestimate the importance of tones of voice in communication.

Explanation:

Many factors intervene in communication together. We use words, we use non-verbal language through our gestures and attitudes, and we also use a certain tone of voice. If we focus on this last aspect, the tonality in the voice is decisive in many ways, which cannot be appreciated through electronic communications. With this we communicate emotions, attitudes and a degree of personal involvement. At the same time, the image we project on others largely depends on the tone of voice we have.

7 0
3 years ago
QUESTION 1 If you do 1,000 J of work on a system and remove 500 J of heat from it, what is the change in its internal energy?
Mazyrski [523]
1. U = Q + W
    U = -500 + 1000
    U = 500 J

2. The first law of thermodynamic is about the law of conservation of energy where energy in should be equal to energy out.

3. It is the windmill that does not transform energy from heat to mechanical instead it is the transforms the opposite.

4. In a heat engine, work is used to transfer thermal energy from a hot reservoir to a cold one.

5.  5.00 × 10^4 J - 2.00 × 10^4 J = 3.00 × 10^4 J 

6. To increase the work done, we raise the temperature of the cold reservoir. 
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3 years ago
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What would happen if water could not condense in the atmosphere
Harrizon [31]
-- As more water evaporated from lakes, rivers, ponds, and people, the
water vapor in the atmosphere would build up and build up and build up,
until the atmosphere could not hold any more water vapor. 

-- The water would stay there in the atmosphere.  There would never be
any more rain, sleet, hail, fog, drizzle, mist, or snow.

-- Rivers flow out of lakes and ponds, carrying lake water to the sea. 
Rain keeps the lakes refilled. 
   The lakes would eventually dry out as the rivers drained them, and then
the rivers would run dry.  It would be the end of trees, forests, and farming.

-- At the instant when the atmosphere became full of all the water vapor
it could hold, all evaporation on Earth would stop. 

. . . . . When you washed the dishes, you could leave them standing in the
drainer rack for a week, but they would never dry.

. . . . . You could hang up your bath towel and the laundry in your room or
in the back yard, but it would never dry.

. . . . . When you boiled a pot of water on the stove, I'm not sure exactly
what would happen, but I know that the steam could not just rise from
the pot and disappear.  The atmosphere couldn't absorb it, so I guess
it would be this dense cloud of boiling hot fog that would rise from the pot
and fill the kitchen.  If you walked through it, it would swirl and drift around.
Eventually it would settle on the walls, and when the droplets got big enough,
they would run down the walls and make puddles on the floor.

. . . . . It would be pretty bad for people and animals.  We generate a lot of heat
inside our bodies, and we get rid of the heat by perspiring.  Moisture comes
out of our skin and evaporates into the air, which takes heat with it. 
   If the atmosphere was full with as much water vapor as it could hold, then
perspiration could not evaporate.  We would ALWAYS be walking around
in 100% humidity, with water running off of our skin onto the floor.  The only
way we could cool ourselves would be to pour cold water on ourselves. 
Anybody who didn't do that every couple of minutes would pass out from
heat exhaustion, as his inside temperature got too high.

Our dogs don't even perspire.  The only way they can get rid of heat is to
make their tongues wet and then blow air over it.  That's why when they
run, or when the weather is hot, they drink a lot and pant fast.  The water
evaporating from their tongues is the only way they can get rid of heat. 
If the atmosphere could not take any evaporation, then our dogs would
probably stop moving around at all, and just lay around all day, drinking
cold water.

In short, I think it's accurate to say that if condensation of water in the
atmosphere stopped, then evaporation would stop, and it would only be
a matter of time before life on Earth stopped. 
7 0
3 years ago
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