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ASHA 777 [7]
3 years ago
8

A force in the + x-direction with magnitude F(x) = 18.0N -(0.530 N/m)x is applied to a 6.00-kg box that is sitting on the horizo

ntal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box. If the box is initially at rest at x=0, use the work-energy theorem to determine its speed after it has travelled 14.0 m?
Physics
1 answer:
gogolik [260]3 years ago
5 0

Answer:v=8.17 m/s

Explanation:

Given

F(x)=18-0.530 x

mass of box=6 kg

distance traveled is 14 m

Work done by force

W=\int_{0}^{14}Fdx

W=\int_{0}^{14}(18-0.53x)dx

W=\left ( 18x-\frac{0.530}{2}x^2\right )_0^{14}

W=252-51.94=200.06 J

Work done by the force is equal to change in kinetic energy

W=\frac{mv^2}{2}

200.06\frac{6\times v^2}{2}

v=8.17 m/s

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Fighter jet starting from airbase A flies 300 km east , then 350 km at 30° west of north and then 150km north to arrive finally
Tems11 [23]
A jet fighter flies from the airbase A 300 km East to the point M. Then 350 km at 30° West of North.
It means : at 60° North of West. So the distance from the final point to the line AM is :
350 · cos 60° = 350 · 0.866 = 303.1 km
Let`s assume that there is a line N on AM.
AN = 125 km and NM = 175 km.
And finally jet fighter flies 150 km North to arrive at airbase B.
NB = 303.1 + 150 = 453.1 km
Then we can use the Pythagorean theorem.
d ( AB ) = √(453.1² + 125²) = √(205,299.61 + 15,625) = 470 km
Also foe a direction: cos α = 125 / 470 = 0.266
α = cos^(-1) 0.266 = 74.6°
90° - 74.6° = 15.4°
Answer: The distance between the airbase A and B is 470 km.
Direction is : 15.4° East from the North. 
4 0
3 years ago
While on a playground, you and your niece take turns sliding down a frictionless slide. Your mass is 75 kg while your little nie
Olenka [21]

Answer:

c.

Explanation:

  • In absence of friction, total mechanical energy must be conserved.
  • This means that the change in gravitational potential energy (in magnitude) must be equal to the change in kinetic energy:

       \Delta K = \Delta U \\ \\  \frac{1}{2} * m* v^{2}  = m*g*h

  • As it can be seen, the mass m is on the both sides of the equation, which means that it can be simplified.
  • We can solve this equation for v (speed at the bottom) as follows:

        v = \sqrt{2*g*h}

  • As it can be seen, the mass has no part in the equation, so, due both are starting from the same height, both people have the same speed at the bottom.
  • The option c is the right one.
6 0
2 years ago
Two bodies are falling with negligible air resistance, side by side, above a horizontal plane. If one of the bodies is given an
tankabanditka [31]

Answer:4-strikes the plane at same time as the other body

Explanation:

Given

If both bodies is falling on a horizontal plane and second body is given an acceleration in horizontal direction then it does not change the time to reach the Horizontal Plate as there is no change in vertical direction.

Horizontal acceleration will give only horizontal range and horizontal velocity.

8 0
3 years ago
Read 2 more answers
According to the law of reflection, the angle of incidence is equal to the angle of
Darina [25.2K]

Before going to answer this question first we have to understand reflection and laws of reflection.

Reflection is the optical phenomenon in which light will bounce back to the same medium from which it had originated .

Whenever a light ray will incident on a mirror or any reflecting surface, it will be reflected. The ray which falls on the reflecting surface is called incident ray and the ray which is reflected is called reflected ray.

Let us consider a normal to the point of incidence.The angle made by incident ray with the normal is called angle of incidence.Let it be denoted as[ i ]

The angle made by the reflected ray with the normal is called angle of incidence.Let it be denoted as [r]

There are two types of reflection.One is called regular and other one is called as irregular.The laws of reflection is valid for both the types of reflection.

There are two laws of reflection.

FIRST LAW -It states that the incident ray,reflected ray and the normal to the point of incidence,all lie in one plane.

SECOND LAW- It states that that the angle of incidence is equal to the angle of reflection irrespective of the type of reflection.i.e i =r

Hence the correct answer will be angle of reflection.

                                         

3 0
3 years ago
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tatuchka [14]

Answer:

Explanation:

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20x - y = -2

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5(1/5) + y = 7

1 + y = 7 .

y = 6

8 0
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