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Lilit [14]
2 years ago
15

A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is

also given an initial velocity of 14 m/s. Assuming that the effects of friction and air resistance can be ignored, what will be the maximum height that the pendulum can reach - that is , what is the height at point B? (Recall that g = 9.8 m/s2.)

Mathematics
2 answers:
sweet-ann [11.9K]2 years ago
7 0

The maximum height that the pendulum can reach will be 45 meters.

<h3>How to calculate the height?</h3>

It should be noted that the total energy at A should be equal to the total energy at B.

Therefore, this will be calculated thus:

1/2(14)² + 10(35) = 1/2(0)² + mgH

98 + 350 = 10H

448 = 10H

H = 448/10

H = 44.8 meters

H = 45 meters approximately

Learn mote about height on:

brainly.com/question/983412

#SPJ1

o-na [289]2 years ago
7 0

Answer:

  D.  20 m

Step-by-step explanation:

The potential energy at Point B will be the sum of the potential and kinetic energies at point A.

__

<h3>energy formulas</h3>

For mass M, the potential energy at h meters above a rest height is ...

  PE = Mgh

The kinetic energy of mass M with velocity v is ...

  KE = 1/2Mv²

<h3>point A energy</h3>

A pendulum with mass M launched downward at v = 14 m/s will have a total energy of ...

  PE +KE = M(9.8 m/s²)(10 m) +1/2(M)(14 m/s)² = M(98 +98) = 196M J/kg

<h3>point B energy</h3>

When the pendulum comes to rest at point B, its energy will all have been converted to potential energy. Then the height at point B is given by ...

  PE = Mgh

  196M J/kg = M(9.8 m/s²)h

  h = (196M)/(9.8M) m = 20 m

The height of the mass at point B will be 20 meters.

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3 years ago
Solve the system of equations by elimination.<br> 2x - y + 3z=-1<br> x + 2y - 4z=-1<br> y – 2z=0
MrRa [10]

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1  ....(1)

x + 2y - 4z = -1  ......(2)

y – 2z = 0  .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

6 0
3 years ago
i need help. Semir, Sarah, and SungSo decided to raise money for a local homeless shelter by working in a local deli. The deli a
IgorLugansk [536]
According to the question, 
Let,
"n" represent the number of miles semir walked.
"y" represent the number of miles sarah walked.
Now, according to the question,

y = 2n - 5  ........................this is your equation 
Also,
the question states, each of them collect $18 in pledges for every miles walked.

Given,
Sarah collected $450
Now, 

Using unitary method,

Sarah collects $18 for 1 mile
Sarah collects $1 for (1 / $18) mile
Sarah collects $450 for (1 / 18) * 450 mile
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So, Sarah walks 25 miles.
Now,
Taking equation,
y = 2n - 5
Since, y is the no. of miles sarah walked, we can write 25 in place of "y" So,
(25) = 2n - 5
25 + 5 = 2n
30 = 2n
30 / 2 = n
15 = n

Since, "n" is the no. of miles that semir walked, Semir walked 15 miles.


7 0
3 years ago
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?
Ierofanga [76]

Answer:

it's -4 I just took the test and you will get it write

6 0
3 years ago
Choose all the factors of 12. (Check all that apply.) multiple choice
ira [324]

Answer:

Hey!!!!

the answers are 2, 6, 3, 12, 4, 1

Please read the explanation... it always helps..

Step-by-step explanation:

Alrighty... let's begin....

A factor is any number that you can multiply by another number to get a product

So choose the numbers you can mutiply by another number to get twelve... which are...  2, 6, 3, 12, 4, 1

if you are wondering why twelve well... 12 x 1 = 12

i hope this helps!!!!

7 0
2 years ago
Read 2 more answers
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