Answer:
3 kg= 14.7
6 kg= 29.4
9 kg= 44.1
Step-by-step explanation:
The gravitational potential energy of the cylinders as follows:
3 kg: 14.7 kJ, 6 kg: 29.4 kJ, and 9 kg: 44.1 kJ
What is the GPE?GPE is gravitational potential energy, mass is the mass of the object in kilograms, gravity is the acceleration due to gravity in meters per second squared (usually taken to be 9.8 m/s²), and height is the height of the object above the reference point in meters.
To calculate the gravitational potential energy (GPE) of an object, you need to know its mass, the acceleration due to gravity, and its height above a reference point. You can use the formula:
GPE = mass × gravity × height
In this case, the mass of each cylinder is given in the first column of the chart, and the height of the cylinders is 500 meters. However, the acceleration due to gravity is not given in the chart. We can assume that it is 9.8 m/s², but if you have a different value, you should use that instead.
Using these values, we can calculate the gravitational potential energy of the 3-kilogram cylinder as follows:
GPE = 3 kg × 9.8 m/s² × 500 m = 14700 kg m/s²
Converting this to kilojoules gives us:
GPE = 14700 kgm/s² × (1 J/1 kgm/s²) = 14700 J
Converting this to kilojoules (kJ) gives us:
GPE = 14700 J / 1000 J/kJ = 14.7 kJ
Therefore, the gravitational potential energy of the 3-kilogram cylinder is 14.7 kJ.
You can use the same process to calculate the gravitational potential energy of the 6-kilogram is 29.4 kJ and the 9-kilogram cylinders is 44.1 kJ.
Learn more about gravitational potential energy here:
https://brainly.com/question/19768887
SPJ2
A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,
x, from the starting location?
O 135.99 mi
O 149.32 mi
O 172.93 mi
O 183.60 mi
For your question:
"A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,
x, from the starting location?"
Please see above for answer.
Let me know if you have any further questions.
The distance, x, from the starting location will be 183.6 miles.
What is distance?Distance is a numerical representation of the distance between two objects or locations.
Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Let the ship start at point O and proceed for 60 miles in the 34 °S direction to point P. Then, after 150 kilometers Q.
From the obtained value, the angle P can be obtained;
∠P=180°-(45°+20°)
∠P=115°
From triangle,
OP=60 cm
PQ=150
∠P=115°
OQ=x
OQ²=OP²+PQ₂-2OP.PQ.COS∠P
x²=60²+150²-2(60)(150)COS(115°)
x²=3600+22500+7606.8
x²=33,706.8
x=√(33,706.8)
x=183.59
x=183.6 miles
Hence,the distance, x, from the starting location will be 183.6 miles.
To learn more about the distance, refer to the link;
https://brainly.com/question/26711747
#SPJ2
help with math? heres the question.
-
answer options:
8
2
5
3
.6(2k - 3) = 3(4k + 5)
Hellppp pleaseee
Answer:
Step-by-step explanation:
.6(2k-3)=3(4k+5) foil
1.2K-1.8=12k+15 subtract 1.5k from both sides
-1.8=10.8k+15 subtract 15 from both sides
-16.8=10.8k divide by 10.8
k= -1.5
solve 10x+7-8x=6
expressions and equations
Answer:
2+7
Step-by-step explanation:
Only for snowflake plz no one else
Answer:
hey....
Step-by-step explanation:
Answer:
(my other account) hi...
Step-by-step explanation:
The minute hand of a clock in a clock tower has a length of 36 inches.
If a butterfly landed on the extreme tip of the minute hand at exactly 12:00 noon and rode the minute hand until 12:45 p.m., how far did the butterfly ride along the arc traced by the minute hand? Round your answer to the nearest foot.
Answer:
45 degrees
Step-by-step explanation:
Butterfly will ride along the arc traced by the minute hand = 14 feet
Perimeter of a sector: Perimeter of a sector of a circle is given by the expression,
[tex]P=\frac{\theta}{360^\circ}(2\pi r)[/tex]
Here, θ = Angle formed at the center of the circle by the arc of
a sector
r = Radius of the circle
Since, minute hand of a clock forms an angle measuring 270° at the center to cover from 12:00 noon to 12:45 p.m.
Length of the minute hand = 36 inches
Perimeter of the arc = [tex]\frac{270}{360}(2\pi)(36)[/tex]
= 169.646 inches
Since, 1 inch = [tex]\frac{1}{12}[/tex] foot
169.646 inches = 14.137 ft.
≈ 14 ft.
Therefore, butterfly will ride 14 feet along the arc traced by minute hand.
Learn more about the perimeter of an arc here,
https://brainly.com/question/1582130?referrer=searchResults
Shaun is playing a game in which he receives 2 points for every correct answer and -5 points for every incorrect answer . After 4 questions shauns score is 1 if he answer the next question incorrectly what will shauns score be ? I need really bad help
Answer:
-4 :)
Step-by-step explanation:
Which function is best represented by the graph?
Answer:
J
Step-by-step explanation:
First look at the y-intercept. When y=0, you get 8 on the graph, so in the equation it has to give you 8 as well.
This narrows it down to F G J
Next, the slope of the graph is negative because its tilting downwards.
This narrows it down to G J
Finally, on the graph when y=0, you get 6, so the equation has to meet this too
With your choices narrowed down to G and J, calculate the x-intercepts.
0= -4/3x+8
-8= -4/3x
-8(-3/4)=x
x=6
Answer:
The answer is J
Step-by-step explanation:
the y-intercept is 8 and to find the slope you count rise over run, well the graph is too small to tell what points are actually on the lines, but it's given that (0,8) and (6,0) are points. making the rise/run= to 8/6 and then simplify to 4/3. and you can tell that the slope is negative because it's going downward from left to right.
Suppose you have 7 dimes and 6 nickels in your pocket. How many ways can you reach
into your pocket and select 2 dimes?
Answer:
21 possible ways to select 2 dimes.
Step-by-step explanation:
There are 42 possible ways to select coins, but only 21 to select 2 dimes. I believe this is correct, but you should probably wait for another answer for affirmation.
Answer:
vhhghhhh
jjjj
Step-by-step explanation:
jhhhgggggy
-2 (3.1) find the product
Answer:
-6.2
Step-by-step explanation:
just because.
A recipe needs two and one sixth cups of walnuts and eight and one eighth cups of peanuts. How many cups of 14 or 48 as the domenater nuts are needed for the recipe in all? Please answer!!! It has to have 14 or 48 as the domentater
Answer:
[tex]10\frac{14}{48}[/tex]
Step-by-step explanation:
given data:
recipe = two and one sixth cups of walnuts [tex]2\frac{1}{6}[/tex]
and eight and one eighth cups of peanuts [tex]8\frac{1}{8}[/tex]
solution:
[tex]= 2\frac{1}{6} + 8\frac{1}{8}\\\\= 10 (\frac{1}{6} + \frac{1}{8} )\\[/tex]
[tex]= 10\frac{7}{24}\\or\\= 10\frac{14}{48}[/tex]
what are three types of transformations of linear functions?
PLEASE HELP
Answer:
Translation, refelction, stretch/compression. :D
Step-by-step explanation:
Which coordinate plane contains the points ( 2,3.5) and (-0.5,4) ? Ill give brainliest
Answer:
D
Step-by-step explanation:
Answer:
D is the only one that has either of those points. so the correct answer is D
Need help fast. Pre Calc
Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.
A) 12.8
B) 14.9
C) 15.4
D) 17.3
Answer:
15.4 on edge. C
Step-by-step explanation:
Answer:
The other person is correct.
WILL GIVE BRAINLIEST PLS HELP !!
Answer:
circle
Step-by-step explanation:
my mans on kahoot!!!!
in order for students to have a club at school they need a minimum of 22 students. If there are 17 students signed up for the club, how many more students does the club need
Answer: 5 more students need to sign up.
Which expression is equivalent to (x⁶y⁸)³/x²y²
The equivalent expression is [tex]x^{16}y^{22}[/tex]
Hurry please
a rectangle is 6 times as long as it is wide. the perimeter is 140 cm. find the area of the rectangle. round to the nearest tenth if necessary.
Answer: [tex]w = 10[/tex]
Step-by-step explanation:
Our perimeter will be 140 cm and our width of the rectangle will be 6w. We will then divide 14w and 140 by 14 so we can get w by itself. Then, we will divide the perimeter by the width.
Step 1: Let 6w will be our length and let the perimeter be 140 cm.
[tex]6w, P = 140 cm[/tex]
Step 2: Perimeter means that you add up all the 4 sides of the rectangle.
[tex]P = 140 = w + w + 6w + 6w = 14w[/tex]
[tex]P = 140, 14w[/tex]
Step 3: Divide both sides 14 to get the single w variable.
[tex]\frac{140}{14} = \frac{14w}{14}[/tex]
Step 4: Simplify.
[tex]10 = w[/tex]
Step 5: Flip sides.
[tex]w = 10[/tex]
~I hope I helped you :)~
turn 12 1/2 into a decimal
Answer:
12.5 hehe brainliest plz
Step-by-step explanation:
Find the final price of the item.
CD player: $87.95
discount: 35%
tax: 5.75%
Answer:
$60.47
Step-by-step explanation:
not sure. I'm not too familiar with this math, so I kinda winged it, hope this helps
Ayeeee dis tooooo helllllp bcjsjznbznsj
Answer:
-1
Step-by-step explanation:
You have to do rise over run.
One thing we already know is that the slope is negative because it's pointing in this direction \ <======
I will make a picture.
But the rise is 4 and the run is 4 so the slope is -1x or just -x
Hope this helps ya!!
Answer:
Equation of line: y = -x + 4
Slope: -1
Hopw this helps :)
what is the scale factor
Answer:
2/5
Step-by-step explanation:
Since it's from a big square to a smaller square, the smaller number will be at the top. Also, use the same side to find the scale factor, but since this is a square and all sides of a square are equal, it doesn't matter but in other shapes it does so practice i guess:
Left side of big square: 5
Left side of small square: 2
So scale is 2/5
To confirm:
5 · 2/5 = 10/5 = 2, we're right
if a=1 b=2 c=3 find the value of 4a3b2
Answer:
14
Step-by-step explanation:
a4=4
3b=2 x 3=6
2c=2 x 3=6
Answer:
48
Step-by-step explanation:
We just need to put in the values of a and b.
4a3b² = 4(1) × 3(2)²
= 4 × 3(4)
= 4 × 12
= 48
QUESTION Lin’s father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied.
how much does lin father pay for the meal
Answer:
18.19
Step-by-step explanation:
First we must determine how much 15% of 20 is (3). Now we must subtract that from 20 (20-3=17$) Once we have that we must figure out how much 7% of 17 is ($1.19) Lastly, we must add the tax to 17.00 (17+1.19) to get 18.19.
also please explain
m=?
b=?
equation=?
Answer:
Decimal form: y = -3x + 1
Exact form: y = -3x + 1
m (slope)= -3
b= 1
Polina the Polar Bear sat on an ice floe in the Arctic Ocean, north of Alaska. Polina was waiting for her mother, Bearnice, to return hwith some tasty seal blubber for lunch. Bearnice was hunting, waiting for seals to come up for air through holes in the ice, the same way Polar Bears have hunted in the winter for centuries. Except this year there was one big difference.
A lot more of the ice had melted last summer, and this winter it hadn’t refrozen as usual. A combination of warmer weather and changes in water and air currents was making the ocean warmer than anyone could remember, and Bearnice had to swim farther every day to find a good hunting spot.
As Polina waited for her mother to bring food back to her floe, the ice shrank bit by bit until she was sitting on very thin ice. As Polina waited helplessly, the furry white cub heard a deep voice coming from the direction of the sea.
“Hellooo little bear,” it said. Polina had never heard such a deep voice. She lifted her tired head to look out over the water, and was surprised that the voice seemed to come from a dark ice floe just offshore.
"No, wait!" It had a huge eyeball that was looking directly at her. It wasn’t an ice floe — it was the largest whale Polina had ever seen. It was also the first whale that had ever spoken to her.
“They call me Farswimmer,”said the whale, “because I travel all over the world, having adventures and learning new things. What brings you here alone, Polar Bear?” Farswimmer was very old, and he had seen many changes in his years of exploring the oceans. He certainly knew more about the world than most polar bears.
Farswimmer seemed like a nice whale, but Polina remembered Bearnice, her mother, and how she hadn’t come back from hunting.
Farswimmer blew a tall spout to distract Polina and stop her from crying.
When Polina told the whale her own story, he said, “I’m headed north anyway. You could ride on my back, and we can look for your mother. Are you ready for an adventure?” The next morning, Farswimmer and Polina charted their course and took off. Polina rode Farswimmer’s back and sometimes floated behind him, holding his tail. She also stood on his back and pretended she was surfing. It was a blast.
They took a break on an ice floe. Soon, they saw something in the distance that looked like another ice floe, but just to be sure, Farswimmer left Polina on the ice and swam to the floating object.
It wasn’t an object. It was an animal. Farswimmer used his fat nose to push the animal to Polina’s icy raft. When they got closer, Polina saw a familiar face.
“Mommy,” she yelped. Bearnice was very tired, but the sound of her cub’s voice made her happy. She opened her arms and the two embraced each other in a big bear hug.
Read the passage on the left to answer the following questions:
1)
What is the main conflict in this story?
A) Farswimmer cannot find Polina's mother.
B) Polina's mother is unable to find any seals to feed Polina.
C) Bearnice decides that she wants to let her daughter live alone.
D) The ice is melting around Polina, and her mother hasn't returned.
2)
Which statement best describes the relationship Polina the Polar Bear and the whale Farswimmer?
A) Polina is angry at Farswimmer for being so large and scary.
B) Farswimmer has no interest in helping Polina find her mother.
C) The whale Farswimmer is kind and helpful to frightened Polina.
D) Polina is in love with Farswimmer the whale and wants to run away with her.
3)
How is Farswimmer characterized in this story?
A) as an unhappy and mean whale
B) as a kind and wise old whale
C) as an indifferent, cruel creature
D) as a simple-minded, innocent creature
4)
Which BEST describes the characters in this story?
A) Farswimmer is old and Polina is young. They can both talk.
B) Farswimmer and Beatrice are both old. They can both talk.
C) Farswimmer and Polina are both young and can both talk.
D) All three are young and can talk.
5)
What is the setting of this story?
A) a warm Mediterranean sea
B) the endless ice of Antarctica
C) an Eskimo village in the snow
Katie has a savings account that contains $230. She decides to deposit $5 each month from her monthly earnings for babysitting after school. Write an expression to find how much money Katie will have in her savings account after x months. Let x represent the number of months.
Given:
Initial savings in Katie's account = $230
Additional savings = $5 per month
To find:
The expression that represents the money Katie will have in her savings account after x months.
Solution:
Let x be the number of months.
Additional savings for 1 month = $5
Additional savings for x months = $5x
Now,
Total savings = Initial saving + additional savings for x months.
[tex]\text{Total savings}=230+5x[/tex]
Therefore, the required expression is [tex]230+5x[/tex].
How many of you guys agree that Ariana Grande's head is big?
Answer:
Ummm hahahaha kindaaaa
Step-by-step explanation:
The points (5, -5) and (9, r) lle
lle on a line with slope - 2. Find the missing coordinate r.
Help and I’ll give brainliest
Answer:
They purchased 11 Packets
Step-by-step explanation:
C=11p + 30