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Fudgin [204]
3 years ago
10

A ball experiences forces of 14 N [N] and 9.2 N [W]. A Free Body diagram is required. What is the acceleration of the ball if it

s mass is 225 g?
Physics
1 answer:
GrogVix [38]3 years ago
5 0

Answer:

First, we can define the North as the positive y-axis, and the East as the positive x-axis.

Here we have two forces:

F₁ = 14N to north

F₂ = 9.2 N to west.

Then the free body diagram will be the one that can be seen below:

Now we want to find the acceleration that the ball experiences if the mass is 225g

Knowing that 1k = 1000g, we can rewrite the mass as:

M = 0.225g

Here we also need to remember the second Newton's law:

F = M*a

Net force equals mass times acceleration.

First, let's find the net force:

F = F₁ + F₂ = 14N*(0, 1) + 9.2N*(-1, 0 )

F = (-9.2N, 14N)

The module of the force is then:

I F I = √( (-9.2N)^2 + (14N)^2) = 16.75 N

Then the acceleration is given by

16.75 N = 0.225kg*a

(16.75 N)/(0.225 kg) = a = 74 m/s^2

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La tensión en newtons necesaria para que una onda transversal cuya longitud de onda es 3.33 cm vibre a razón de 625 ciclos por s
NemiM [27]

Answer:

9.34 N

Explanation:

First of all, we can calculate the speed of the wave in the string. This is given by the wave equation:

v=f \lambda

where

f is the frequency of the wave

\lambda is the wavelength

For the waves in this string we have:

f=625 Hz, since it completes 625 cycles per second

\lambda=3.33 cm = 0.033 m is the wavelength

So the speed of the wave is

v=(625)(0.0333)=20.6 m/s

The speed of the waves in a string is related to the tension in the string by

v=\sqrt{\frac{T}{\mu}} (1)

where

T is the tension in the string

\mu=\frac{m}{L} is the linear density

In this problem:

m=16.5 g = 16.5\cdot 10^{-3} kg is the mass of the string

L = 0.75 m is the its length

Solving the equation (1) for T, we find the tension:

T=\mu v^2 = \frac{m}{L} v^2 = \frac{16.5\cdot 10^{-3}}{0.75}(20.6)^2=9.34 N

8 0
3 years ago
According to the graph, how many atoms would remain after two half-lives?
Fudgin [204]

Answer:

Let No be initial no of atoms

N = N0 / 2      after 1 half-life

N = N0 / 4     after 2 half-lives

So after 2 half-lives 20 of the 80 atoms remain

4 0
2 years ago
Which of the following is true about teeth in mammals? a. Only large mammals have teeth. b. All teeth in mammals look the same a
katovenus [111]
<span>c. Mammal teeth do different jobs and are different sizes and shapes</span>
4 0
2 years ago
Calculate the amount of energy transferred when a 40w light bulb is left on for 30 minutes.
Alinara [238K]

Answer:

E=72000J or 72kj

Explanation:

The formula is E=pt you need to convert your t from minutes to seconds before proceeding

3 0
3 years ago
A) Using Excel, or some other graphing software, plot the values of y as a function of x. (You will not submit this spreadsheet.
tiny-mole [99]

Answer:

   y = 1.06 x + 0.14

            r² = 0.95

Explanation:

a) To make this graph, a spreadsheet-type calculation program is used, see attached.

On the y axis are the measured values

On the x-axis, the values ​​checked in the experiment are placed.

From the graph we see that a linear graph and that one of the values ​​has a strong deviation with respect to the others

b) The red line is the best straight line that can be drawn,

    for this the quality ajust is r²  

the closer to 1 the better the fit

           

the equation of the line is

            y = 1.06 x + 0.14

            r² = 0.95

3 0
3 years ago
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