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Bezzdna [24]
3 years ago
9

if F, V, and we're chosen as fundamental unit of force, velocity and time respectively , the dimensions of mass would be represe

nted as​
Physics
1 answer:
alexandr1967 [171]3 years ago
3 0

Answer:

The dimension of mass can be represented as:  [F^{1}  T^{1} V^{-1} ]

Explanation:

We have  Force = Mass X Acceleration

                           = Mass X \frac{Change   in   Velocity}{Time   Taken}

                or, Mass  = Force x \frac {Time Taken }  { Change in Velocity }

                             So, dimensions of mass  = \frac{[F][T]}{[V]}

                                                                       = [F^{1}  T^{1} V^{-1} ]

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Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, t
NemiM [27]

Answer:

their final velocity is 0.091 m/s

Explanation:

Given;

mass of the first train, m₁ = 138,000 kg

mass of the second train, m₂ = 123,000 kg

initial velocity of the first train, u₁ = 0.288 m/s

initial velocity of the seocnd train, u₂ = -0.131 m/s (opposite direction to the first)

Let their common final velocity after been coupled = v

Apply the principle of conservation of linear momentum;

m₁u₁  +  m₂u₂ = v(m₁  +  m₂)

(138,000 x 0.288)    +    (-0.131 x 123,000)   =   v(138,000 + 123,000)

39,744   -   16,113   =  v(261,000)

23,631 = v(261,000)

v = 23,631 / 261,000

v = 0.091 m/s

Therefore, their final velocity is 0.091 m/s

5 0
3 years ago
A fixed coil of wire with 10 turns and an area of 0.055 m2 is placed in a perpendicular magnetic field. This field oscillates in
Blababa [14]

Answer:

Part a)

Average EMF for half cycle is

E_{avg} = 2.64 V

Part b)

For one complete cycle we will have

E_{avg} = 0

Part c)

Maximum induced EMF will be at

t = 0.025 s and 0.075 s

minimum induced EMF is at

t = 0.05s and 0.1 s

Explanation:

As we know that magnetic field is oscillating in direction as well as magnitude

so induced EMF is given as

E = NBA\omega sin(\omega t)

Part a)

For average value of EMF from positive maximum to negative maximum which is equal to half cycle

so we have

E_{avg} = NBA\omega \frac{2}{T}\int_0^{T/2} sin(\omega t) dt

E_{avg} = \frac{2NBA\omega}{\pi}

E_{avg} = \frac{2(10)(0.12)(0.055)(2\pi (10))}{\pi}

E_{avg} = 2.64 V

Part b)

For one complete cycle we will have

E_{avg} = NBA\omega \frac{1}{T}\int_0^T sin(\omega t) dt

E_{avg} = 0

Part c)

Maximum induced EMF will be at

t = \frac{T}{4} and \frac{3T}{4}

here we know

T = \frac{1}{f} = 0.1 s

t = 0.025 s and 0.075 s

minimum induced EMF is at

t = \frac{T}{2} and T

so it is

t = 0.05s and 0.1 s

8 0
3 years ago
If cats always land on their feet, how do they get hurt when they fall?
Ulleksa [173]
The impact front the fall, depending on the distance, has an effect on the impact of their bones crushing with the pressure from the fall.
6 0
3 years ago
An astronaut has a mass of 50.0 kg on earth. what is her mass on the moon, where gravity is 1 6 that on earth?
never [62]

I believe the correct gravity on the moon is 1/6 of Earth. Take note there is a difference between 1 6 and 1/6.

HOWEVER, we should realize that the trick here is that the question asks about the MASS of the astronaut and not his weight. Mass is an inherent property of an object, it is unaffected by external factors such as gravity. What will change as the astronaut moves from Earth to the moon is his weight, which has the formula: weight = mass times gravity.

<span>Therefore if he has a mass of 50 kg on Earth, then he will also have a mass of 50 kg on moon.</span>

6 0
3 years ago
A small bug is lying resting when nine ants simultaneously ambush it and begin pulling it in different directions. They are each
xxMikexx [17]

Answer: The bug will remain motionless

Explanation:

According to Newton's first Law of Motion (sometimes called Law of Inertia):

<em>An object at rest or describing a uniform straight line motion (moving at constant velocity), will remain at rest or moving unless an external force is applied to it and changes its state of rest or motion. </em>

In other words:

An object or body will keep its state of motion until an external force changes its state

This means that objects tend to remain in its state of motion, and is the definition of the inertia, as well.

In addition, according to his law, an object in rest can be in equilibrium (net force equals to zero), and a moving object can also be in equilibrium, as long as it keeps a constant velocity.

<h2>This is why the bug, which is at rest will remain at rest, although the ants are simultaneously pulling it in different directions, since the resultant of all these forces is zero.</h2>
4 0
3 years ago
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