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Inessa05 [86]
3 years ago
8

You are helping two friends from our class with a physics problem where a cart is pushed up a ramp. In examining the motion of t

he cart up the ramp, one friend says that the acceleration has to be negative because the cart is slowing down. The other friend says the acceleration can be positive or negative, but it depends on the motion detector. What do you think and what would you say to your friends to convince them of your point of view

Physics
2 answers:
stiks02 [169]3 years ago
8 0

Answer: Acceleration will have 2 components, vertical and horizontal.

Net-vertical component can be positive, zero or negative depending upon the magnitude of the upward component of the applied acceleration.

Net-horizontal acceleration will  be equal to the horizontal component of the applied acceleration.

Explanation:

Since acceleration is a vector quantity and the cart is being pushed up the ramp, the ramp would be at some angle to the horizontal and hence there will be vertical and horizontal components of acceleration.

<u>For vertical acceleration:</u>

If the magnitude of the upward component of the applied acceleration is greater than the value of the acceleration due to gravity then the net vertical acceleration will be upward because it will overtake the value of acceleration due to gravity.

In case the upward component of the applied acceleration is lesser than the value of the acceleration due to gravity then the net vertical acceleration will be downward.

<u>For horizontal acceleration:</u>

This component remains unaffected and is equal to the horizontal component of the applied acceleration because there is no other acceleration acting in the horizontal direction.

But the net acceleration will not be solely in the vertical or horizontal direction because the block has to move forward on the inclined ramp so there will always exist a horizontal and a vertical component making the net acceleration to parallel to the ramp in upward direction if the body is going up the ramp.

Scorpion4ik [409]3 years ago
3 0

Answer and Explanation:

The acceleration can either be positive or negative depending on the direction of the net force applied on the cart.

  • If the cart is moving up the ramp and the net force is also in the upward direction then the cart ascends with [positive acceleration.
  • If the cart is moving up the ramp and the net applied force is in the direction opposite to the motion of the cart then the cart decelerates, i.e., the acceleration of the cart is negative and the speed slows down.
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This city is the capital of the state of Georgia since 1868 and was burned during the Civil War.
Sphinxa [80]

The correct answer is - Atlanta.

Georgia is a state that has had multiple capitals since the arrival of the first European settlers, changing them very often in accordance to the circumstances. The last one in the row has been Atlanta. This city got the privilege to be the capital of Georgia in 1868 after the Atlanta council applied for it. The US government took everything in perspective, from infrastructure, population, location, and very importantly politics. The political aspect seems to be the case where Atlanta won the case to become capital, as the capital until than, Milledgeville, was still a city where the black population was not welcomed and the racism was still on a very high level.

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A crude approximation for the x component of velocity in an incompressible laminar boundary layer is a linear variation from u =
slega [8]

Answer:

2.5 * 10^-3

Explanation:

<u>solution:</u>

The simplest solution is obtained if we assume that this is a two-dimensional steady flow, since in that case there are no dependencies upon the z coordinate or time t. Also, we will assume that there are no additional arbitrary purely x dependent functions f (x) in the velocity component v. The continuity equation for a two-dimensional in compressible flow states:

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<em>δv/δy= -δu/δx</em>

Now, since u = Uy/δ, where δ = cx^1/2, we have that:

<em>u=U*y/cx^1/2</em>

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<em>δv/δy=U*y/2cx^3/2</em>

The last equation can be integrated to obtain (while also using the condition of simplest solution - no z or t dependence, and no additional arbitrary functions of x):  

v=∫δv/δy(dy)=U*y/4cx^1/2

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 =u*y/4x

which is exactly what we needed to demonstrate.  

Also, using u = U*y/δ in the last equation we can obtain:  

v/U=u*y/4*U*x

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which obviously attains its maximum value for the which is y = δ (boundary-layer edge). So, finally:

(v/U)_max=δ^2/4δx

                =δ/4x

                =2.5 * 10^-3

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An object accelerates in a direction that is always perpendicular to its motion.
anzhelika [568]
The object will not be able to accelerate perpendicular to direction of motion
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Why is force not on a scalar quantity??
snow_lady [41]
Because force always has a direction, it always works towards or against something.


you might know that force,
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force = m (v-u)/t
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as we know momentum is a vector quantity so, the rate of change of momentum i.e Force would also be a vector quantity.




momentum = mass × velocity

velocity has a direction so,
momentum has also got a direction.
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