two identical freight cars roll without friction towards each other on a level track. one car rolls 2 m/s the other 1 m/s. after the cars collide they couple and roll together with a speed of
Answers
The cars coupled and rolled together at a speed of 1.5 m/s.
What is law of conservation of linear momentum?
According to the law of conservation of linear momentum, the sum of the momentum before and after the collision must be equal.
m₁ u₁ + m₂u₂ = m₁ v₁ + m₂ v₂
where m₁ and m₂ is the mass of the collided objects, u₁ and u₂ are their initial speed while v₁ & v₂ is their final speed.
The linear momentum of an object can be defined as the product of the mass of the object times the velocity of that object. Conservation of momentum is a property held by an object where the total amount of momentum never changes.
Given the initial velocity of the car is u₁ = 2 m/s and the other car is u₂ = 1 m/s.
The masses of both cars is identical, m₁ = m₂ = m
From the law of conservation of momentum, find the speed of coupled cars (v),
m₁ u₁ + m₂ u₂ =m₁ v₁ + m₂v₂
m × 2 + m ×1 = m × v + m × v
2 + 1 = 2 v
2v = 3
v = 1.5 m/s
Therefore, the speed of the coupled cars is equal to 1.5 m/s.
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Answers
W = mgh. m is mass in kg, g is acceleration due to gravity = 9.81 m/s², h is height = 12 m
= 3.8 * 9.81 * 12
= 447.336 Joules
W = mgh.
m is mass in kg,
g is acceleration due to gravity = 9.81 m/s²,
h is height = 12 m
= 3.8 * 9.81 * 12
= 447.336 Joules
Answers
the more voltage across the light bulbs, and the brighter
they will all burn.
(Until you add the battery that causes the weakest bulb
to burn out. Then they ALL go out.)
Answers
If your answers look like this...
a. models have the ability to communicate
b. models have the ability to correctly predict all outcomes
c. model have the ability to test predictions
d. models have the ability to save time
Then it's D
Final answer:
Models are representations that help us understand and analyze real-life situations, but they may have limitations or assumptions that make some statements not universally true.
Explanation:
Models are representations of real-life situations or things that help us understand and analyze them better. However, the statement, 'all of the following are true of models except,' implies that there are some characteristics that do not apply to models. Different models may have different purposes, limitations, or assumptions that may make some statements not universally true. For example, while models can provide insights and predictions, they cannot capture the full complexity of the real world or account for all variables. Models are valuable tools in various fields and disciplines, including social studies, as they help us simplify, analyze, and communicate complex phenomena and processes.
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Answers
0.001 kilo-calorie= 1 calorie
therefore 5.25 calorie=21.966 joules
Answer : 5.25 Calories is equivalent to 21.966 Joules.
Explanation :
The capacity to do any work is called its energy. Its SI unit is joules. Another unit of energy is joules.
The relation between the calorie and the joule is :
To convert 5.25 calories to joules we have to use unitary method i.e.
So, 5.25 C = 21.966 Joules.
Hence, this is the required solution.
Answers
We know that volume is proportional to (radius)³, so the error in
volume is proportional to (error in radius)³ .
[ 1 + 0.1/4.3 ]³ = 1.0714
The max volume error is 7.14 %
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The barge will sink until the sum of the forces on it equals zero.
The two forces are the weight of the barge (with sand) and the buoyancy force, the force exerted by the liquid (fresh water) on the barge.
Then, weight of the barge with sand = m*g = 600 kg * g
Buoyancy force = density of the fluid * Volume of displaced fulid * g
Then, m*g = density of the fulid * Volume of displaced fluid * g
m*g = df * Vf * g
m = df*Vf => Vf = m/df = 600 kg / 1 000 kg/m^3 = 0.6 m^3
The volume of the displaced fluid equals the volume of the portion of the barge sinked, wich is the area of the rectangular base times the depth to which it sinked>
7m*2m*H = 0.6 m^3 => H = 0.6 m^3 /[14 m^2] = 0.043 m = 4.3 cm
Answer: 4.3 cm