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2 years ago

Vectors are an important part of the language of science, mathematics, and engineering.

Physics

1 answer:

tensa zangetsu [6.8K]2 years ago

4 0

Answer:

a. True

Explanation:

Vectors are an important part of the language of science, mathematics, and engineering.

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A Imagine you derive the following expression by analyzing the physics of a particular system: v2 + 2az. The problem requires so

Nuetrik [128]

Answer:

z = 93.2 m

Explanation:

We can appreciate that this expression is equivalent to the linear motion equation with constant acceleration

v² = v₀² + 2 a d

If we make a term-to-term comparison with the expression obtained, they are equivalent

u² = v² + 2 a z

From here we can clear the position

2 a z = u² –v²

z = (u² –v²) / 2 a

Let's calculate

For the speed to reduce the acceleration must be negative

z = (0 - 21.8²) / 2(- 2.55)

z = 93.2 m

7 0

3 years ago

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00

mr_godi [17]

Answer:

Explanation:

initial velocity, u = 8 m/s

vertical height, h = 1 m

θ = 40°

Let the horizontal distance is d and the time taken is t.

Use second equation of motion in vertical direction

h = ut + 1/2 at²

1 = 8 Sin 40 x t + 0.5 x 9.8 t²

1 = 5.14 t - 4.9t²

4.9t² - 5.14 t + 1 = 0

so, t = 0.26 s (smaller value)

So, the horizontal distance is

d = u cos 40 x t

d = 8 cos 40 x 0.26

d = 1.6 m

5 0

3 years ago

An astronaut holds a rock 100 m above surface of Planet X. The rock is then thrown upwards with a sleek of 15m/s. The rock reach

Gelneren [198K]

Answer: $5 m/s^{2}$

Explanation:

This problem is related to vertical motion, and the equation that models it is:

$y=y_{o}+V_{o}sin\theta t-\frac{1}{2}gt^{2}$ (1)

Where:

$y=0m$ is the rock's final height

$y_{o}=100 m$ is the rock's initial height

$V_{o}=15 m/s$ is the rock's initial velocity

$\theta=90\°$ is the angle at which the rock was thrown (directly upwards)

$t=10 s$ is the time

$g$ is the acceleration due gravity in Planet X

Isolating $g$ and taking into account $sin(90\°)=1$ :

$g=(-\frac{2}{t^{2}})(y-y_{o}-V_{o}t)$ (2)

$g=(-\frac{2}{(10 s)^{2}})(0 m-100 m-(15 m/s)(10 s))$ (3)

$g=5 m/s^{2}$ (4) This is the acceleration due gravity in Planet X

5 0

3 years ago

A steady 45 N horizontal force is applied to a 15 kg object a table. The object slides against a friction force of 30 N. Calcula

lisov135 [29]

The net force on an object subject to friction is equal to the sum of the applied force and the frictional force.

Mathematically,

$F_{N} = ma = F_{applied} - f_{fr}$

Here, m is mass of object and a is its acceleration. We take frictional force negative because it opposes the motion of object.

Given, $m=15\ kg$ , $F_{applied} =45\ N$ and $f_{fr} = 30\ N$

Substituting these values in above formula, we get

$15\ kg\times a = 45\ N -30\ N=15\ N \\\\a=\frac{15\ N}{15\ kg} =1\ m/s^2$ .

Thus, the acceleration of an object is $1\ m/s^2.$

6 0

3 years ago

You probably noticed that the simulation returned varying values for the magnetic field. What other source(s) of error could occ

romanna [79]

Physical and chemical laboratory experiments include three primary sources of error: systematic error, random error and human error. this simulation shows systematic error.

Systematic error applies to repeated measuring of the same object under repeated conditions of measurement. The amount of the error value is either positive or negative; which is called the fixed system error in laboratory experiments and laboratory tests.

Human error in laboratory experiments and lab tests primarily refers to the mistake in physical and chemical inspection phase caused by the factors of the inspector.

Random error is error caused by unknown factors. This error poses erratic changes at random, primarily due to a variety of small, independent, and accidental factors. The random error is atypical from the surface.

Learn more about systematic error here-

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5 0

2 years ago