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Ierofanga [76]
3 years ago
12

(3.8 * 10^-2 cm) * (4.4 * 10^-2 cm) * (7.5 * 10^2 cm)

Physics
1 answer:
Marysya12 [62]3 years ago
4 0

Answer:

1.254 cm

Explanation:

(3.8 * 10^-2 cm) = 0.038 cm

(4.4 * 10^-2 cm) = 0.044 cm

(7.5 * 10^2 cm) = 750 cm

0.038 * 0.044 * 750 = 1.254 cm

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3 years ago
True or false A radioactive isotope that can be followed through the steps of a chemical reaction is an indicator.
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Hi, your answer is false.

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6 0
3 years ago
A telephone pole has three cables pulling as shown from above, with F⃗ 1=(300.0iˆ+500.0jˆ) , F⃗ 2=−200.0iˆ , and F⃗ 3=−800.0jˆ .
Ray Of Light [21]

A) Net force in component form: F=100.0i-300.0j

B) Magnitude of the net force: 316.2, direction: -71.6^{\circ}

Explanation:

A)

The three forces given in this problem are:

F_1=300i+500j

F_2=-200i

F_3=-800 j

The three forces are given in component form, where the components with unit vector i is the component along the x-direction, while the components with unit vector j is the component along the y-direction.

In order to find the net force in component form, we just need to add the components of the three forces along each direction. Therefore:

- Along the x-direction:

F_x = F_{1x}+F_{2x}+F_{3x}=300+(-200)+0=100

- Along the y-direction:

F_y=F_{1y}+F_{2y}+F_{3y}=500+0+(-800)=-300

So, the net force in component form is

F=100.0i-300.0j

B)

The magnitude of a vector F is given by Pythagorean's theorem:

|F|=\sqrt{F_x^2+F_y^2}

where in this problem,

F_x=100 is the x-component

F_y=-300 is the y-component

Substituting,

|F|=\sqrt{(100)^2+(-300)^2}=316.2

The direction instead is given by

\theta=tan^{-1}(\frac{F_y}{F_x})=tan^{-1}(\frac{-300}{100})=-71.6^{\circ}

where the negative sign means the direction is below the positive x-axis.

Learn more about vector addition:

brainly.com/question/4945130

brainly.com/question/5892298

#LearnwithBrainly

8 0
3 years ago
Find a unit vector in the direction in which f increases most rapidly at P and give the rate of chance of f in that direction; f
Burka [1]

Answer:

Check attachment for complete question

Question

Find a unit vector in the direction in which

f increases most rapidly at P and give the rate of change of f

in that direction; Find a unit vector in the direction in which f

decreases most rapidly at P and give the rate of change of f in

that direction.

f (x, y, z) = x²z e^y + xz²; P(1, ln 2, 2).

Explanation:

The function, z = f(x, y,z), increases most rapidly at (a, b,c) in the

direction of the gradient and decreases

most rapidly in the opposite direction

Given that

F=x²ze^y+xz² at P(1, In2, 2)

1. F increases most rapidly in the positive direction of ∇f

∇f= df/dx i + df/dy j +df/dz k

∇f=(2xze^y+z²)i + (x²ze^y) j + (x²e^y + 2xz)k

At the point P(1, In2, 2)

Then,

∇f= (2×1×2×e^In2+2²)i +(1²×2×e^In2)j +(1²e^In2+2×1×2)

∇f=12i + 4j + 6k

Then, unit vector

V= ∇f/|∇f|

Then, |∇f|= √ 12²+4²+6²

|∇f|= 14

Then,

Unit vector

V=(12i+4j+6k)/14

V=6/7 i + 2/7 j + 3/7 k

This is the increasing unit vector

The rate of change of f at point P is.

|∇f|= √ 12²+4²+6²

|∇f|= 14

2. F increases most rapidly in the positive direction of -∇f

∇f=- (df/dx i + df/dy j +df/dz k)

∇f=-(2xze^y+z²)i - (x²ze^y) j - (x²e^y + 2xz)k

At the point P(1, In2, 2)

Then,

∇f= -(2×1×2×e^In2+2²)i -(1²×2×e^In2)j -(1²e^In2+2×1×2)

∇f=-12i -4j - 6k

Then, unit vector

V= -∇f/|∇f|

Then, |∇f|= √ 12²+4²+6²

|∇f|= 14

Then,

Unit vector

V=-(12i+4j+6k)/14

V= - 6/7 i - 2/7 j - 3/7 k

This is the increasing unit vector

The rate of change of f at point P is.

|∇f|= √ 12²+4²+6²

|∇f|= 14

6 0
4 years ago
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Metals can be described as shiny while nonmetals can be described as dull. What physical property do these terms describe? A) co
lbvjy [14]
The correct answer is C. luster refers to how much light is in an object or how much reflects off. hope this helps, have an amazing day :)
8 0
3 years ago
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