A ball with a mass of 1.5 kilograms is tied to the end of a rope. The ball is pulled to a height of 0.5 meters above the ground and released.The ball has joules of potential energy at position B. At position A, all of the energy changes to kinetic energy. The velocity of the ball at position A is meters/second. Assume there’s no air resistance. Use g = 9.8 m/s2 , PE = m × g × h, and

Answers

Answer 1
Answer:

Solve the potential energy at point B

PE = mgh

Where m is the mass

G is the acceleration due to gravity 9.8 m/s2

H is the height

PE = ( 1.5 kg) ( 9.8 m/s2) (0.5 m)

PE = 7.35 J

 

Solve the velocity using the

KE = 0.5mv^2

Where ke is the kinetic energy

M is the mass

V is the velocity

Since all energy is converted to KE

So KE = PE

 

7.35 = 0.53(1.5) v^2

V = 3.13 m/s

Answer 2
Answer:

The velocity of the ball at position A is equal to 3.13 m/s.

Given the following data:

  • Mass of ball = 1.5 kilograms.
  • Height = 0.5 meters.
  • Acceleration due to gravity = 9.8 m/s^2

How to calculate potential energy.

Mathematically, potential energy is given by this formula:

P.E = mgh\n\n

Where:

  • m is the mass.
  • h is the height.
  • g is acceleration due to gravity.

Substituting the given parameters into the formula, we have;

P.E = 1.5 * 9.8 * 0.5

P.E = 7.35 Joules.

Assuming there’s no air resistance, the potential energy would be equal to kinetic energy.

P.E = K.E\n\n7.35 = (1)/(2) mv^2\n\nmv^2 = 7.35 * 2\n\n1.5v^2 = 14.7\n\nv=\sqrt{(14.7)/(1.5) } \n\nv=√(9.8)

V = 3.13 m/s.

Read more on potential energy here: brainly.com/question/1242059


Related Questions

How does increasing the tension of a spring affect a wave on the spring?
In stars mor massive than the sun, fusion continues until the core is almost all....
The ability of an apple to change color when exposed to air is chemical or physical
Using echos to find an object
What is the average distance, in millions of kilometers, from the Sun to the asteroid belt?A) 85B) 503C)189D)129Why?

1 Determine the wavelength, frequency, and amplitude for each wave.2. Sprays as
Summarize it!
c The
Time Elapsed: 45
D
-0.5 m
10 m
15 m
20 m
0.5 m
I. 0.5 m

Answers

Answer:

cbccfggssdaffzftyrd

Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the edge, but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Just as they reach the lake below.A) Alice reaches the surface the lake first. B) Tom of reaches the surface of the first. C) Alice and Tom will reach the surface of the lake at the same time. D) Information is not enough

Answers

Answer:c

Explanation:

Given

Alice launches with horizontal velocity u=25\ m/s

Tom simply drops straight down from the edge

Time taken by both the person is same as they have same initial vertical velocity i.e. zero so the time taken to reach the ground is zero.

Although Alice will travel more horizontal distance compared to Tom.

Thus option c is correct

The largest building in the world by volume is the Boeing 747 plant in Everett, Washington. It measures approximately 634 m long, 710 yards wide, and 109 ft high. volume in feet^3

Answers

So to get the volume, you're going to multiply all three together, but you have to make all the units the same first. The answer wants ft³, so you want to convert them all to feet.height = 109 ft, so that's fine already. Awesome.width = 710 yd, but that's an easy conversion to feet. Three feet equal one yard, so just multiply (710 yd) by (3 ft/1 yd) and that'll give you the width in ft.length = 634 mThis one is a little tricker, but same principle. First convert meters to centimeters, like this: (634 m)(100 cm/1 m). Then take that number in cm and convert it into inches, knowing that 1 inch = 2.54 centimeters. So multiply the inches you have by (1 in/2.54 cm). Then you'll change that number into feet by dividing it by twelve, since there are twelve inches in each foot.Now you have all three measurements in feet. Just multiply them together to get the volume in ft³ and you're good to go! :)
The volume  =  (length) x (width) x (height) .

But before we can do the multiplication, all three dimensions
have to be in the same unit.

The question is asking for the answer in cubic feet, and one of
the dimensions is already in feet.  So let's change the other two
dimensions to feet.

Length:
1 meter = 3.28 feet
634 meters = (634 x 3.28) feet

Width:
1 yard = 3 feet
710 yards = (710 x 3) feet

Height:
109 feet

Volume  =     (length)          x        (width)       x   (height)

               = (634 x 3.28 ft)    x    (710 x 3 ft)    x    (109 ft)

               =        48,292,580 cubic feet .

Question number 6 :

Is my answer right?? Plzz help

Answers

No.  You have the units wrong.

Example with numbers: 

When you multiply  (1/9) by 2, you get 2/9 .

With units:

When you multiply  (m/s) by (kg), you get (kg-m/s).

The total rate of energy use in the United States is now such that each person has the equivalent of about ___ horsepower working continuously.98.3 QBtu/year
29 million people in the U.S.
Horsepower= 746 W

The above is the info you will need. This is what I have done so far, but it can NOT be right:
98.3*10^15Btu/year(1 year/365 days) = 0.269315*10^15 Btu/day (0.269315*10^15Btu/day)/291 million = (0.2693*10^15 Btu/day)/291*10^6 ~0.00092548109*10^5 Btu/day = 925,481.09Btu/day
925,481.09Btu/day*(1day/24hour) = 38561.71 Btu/hour ~ 38561.7Btu/hour
1horsepower = 746 W
1 W = 3.412Btu/hr38561.7Btu/hr*(1 W/3.412 Btu/hr) ~ 11301.3 W*(1 hp/746 W) = 15.149 hp

Answers


The more I have worked on this, the stranger it has become.
First ... I didn't know what 'QBTU' means.  But I see that you called it
' 10¹⁵ ' so I guess it's 'quadrillion'.
Next ... your given data says 29 million people in the US, and that's
ridiculous. Right now it's about 319 million.  It was 290 million in 2002,
and I see that you used 291 million, so that looks like it was a typo. 
No problem.

Now . . . I did it 3 or 4 times using that 3.412 BTU/hr = 1 watt .  I did get
the significant figures of 152, but I kept getting either 152 HP or 0.152 HP.

At this point, I traced through your solution ... thank you very much for
posting it ... and I'm going to take your colossal load of points for saying
that I I did go through every step in detail, I agree 100% with everything
I see there, and I endorse every move you made.    

So up to now, we both agree that we cannot see where 1.5 HP/person
comes from.

I looked back to the conversion factors, and I saw something that could
make the arithmetic less complex:  1 BTU = 1,055 Joules
Look what I can do with that:

   (98.3 x 10¹⁵ BTU/yr) x (1,055 joule/BTU) x
               (yr/365 day) x (day/86,400sec) x
                                     (HP/746 joule-sec) = 4.4082 x 10⁹ HP

then . . .

(4.4082 x 10⁹ HP) / (29.1 x 10⁷ people) = 15.15 HP/person

I'd say that your work, using the given data, has been vindicated by
an outside, independent consultant.  It may not be a true statistic, but
your math is bullet-proof, and the data have been properly implemented.


As we move through the visible spectrum, red to violet (right to left in the image), the wavelength __________ and the frequency ____________.A) increases; decreases

B) increases; increases

C) decreases; increases

D) decreases; decreases

Answers

Answer;

C) decreases; increases

Explanation;

  • As we move through the visible spectrum, red to violet (right to left in the image), the wavelength decreases and the frequency increases.
  • Electromagnetic spectrum comprises of electromagnetic waves arranged in the order of increasing or decreasing frequency and wavelength.
  • These electromagnetic waves includes; radio waves, microwaves, infrared, visible light, ultraviolet, x-rays and gamma rays.
  • In electromagnetic spectrum as you move from left to right, that is from the radio waves towards the gamma rays, the wavelength decreases as the frequency increases; while from gamma rays towards the radio waves the wavelength increases while the frequency decreases.
As we move through the visible spectrum, red to violet (right to left in the image), the wavelength decreases and the frequency increases. The correct option among all the options that are given in the question is the third option or option "C". I hope this answer helps you and you will understand the solution also.