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3 years ago

A school bus moves slower and slower. Using what you have learned about forces, explain why the bus moves slower and slower.

Physics

1 answer:

Levart [38]3 years ago

4 0

Answer:

I don't exactly know what you learned but it could be because of more friction or the bus was running out of gas.

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Find the area of the part of the plane 5x 3y z = 15 that lies in the first octant.

Lunna [17]

This part of the plane lies above a triangle with boundaries $x=0$ and $y=0$ along the coordinate axes, as well as the line

$z=0 \implies 5x + 3y = 15 \implies y = \dfrac{15 - 5x}3$

When $y=0$ , we have $15-5x=0\implies x=3$ . So this triangle is the set

$T = \left\{(x,y)\in\Bbb R^2 ~:~ 0\le x\le3 \text{ and } 0\le y\le\dfrac{15-5x}3\right\}$

Also, when $x=0$ , we have $y=\frac{15}3=5$ . So the triangle has length 3 and width 5, hence area 1/2•3•5 = 15/2.

Let $z=f(x,y) = 15 - 5x - 3y$ . Then the area of the plane over $T$ is

$\displaystyle \iint_T dA = \iint_T \sqrt{1 + \left(\frac{\partial f}{\partial x}\right)^2 + \left(\frac{\partial f}{\partial y}\right)^2} \, dx \, dy$

We have

$\dfrac{\partial f}{\partial x} = -5 \implies \left(\dfrac{\partial f}{\partial x}\right)^2 = 25$

$\dfrac{\partial f}{\partial y} = -3 \implies \left(\dfrac{\partial f}{\partial y}\right)^2 = 9$

$\implies\displaystyle \iint_T dA = \sqrt{35} \iint_T dx\,dy = \boxed{\frac{15\sqrt{35}}2}$

since the integral

$\displaystyle \iint_TdA$

is exactly the area of $T$ , 15/2.

8 0

2 years ago

Which is true about forensic testing? Forensic scientists must accurately interpret test results Evidence testing is no longer r

Nana76 [90]

Answer:

Forensic scientists must accurately interpret test results

Explanation:

Misinterpreting test results could mean someone being falsely accused of a crime which you would want to avoid.

5 0

2 years ago

According to Lenz's law, an induced current in the direction depicted in the picture would be created when: a. An external downw

LenKa [72]

Answer:

C. An external downward field is created or an external downward field is removed

Explanation:

As we can see that from the attached figure that the induced current would be counter clockwise. So the field occur because of induced current i.e. out of page. This represent that the current is induced in order to rise the flux out of the direction of the page

Therefore because of the external field, the field out of page & flux would be reducing or the external upward field is eliminated

So option C is correct

7 0

3 years ago

If I want to calculate the normal force of an object on two legs but the weight of the object is not uniform throughout, how do

RoseWind [281]

Use the right equation. To calculate the normal force of an object at an angle, you need to use the formula: N = m * g * cos (x) For this equation, N refers to the normal force, m refers to the object's mass, g refers to the acceleration of gravity, and x refers to the angle of incline.

6 0

2 years ago

A net force of 10.0 N causes an object to accelerate at 2.00m/s^2. What is the mass of the object?

madam [21]

5.00kg

random = abcdefghijklmnopqrstuvwxyz

4 0

3 years ago