a 2.5kg mass is held above the ground and has 50 J of gravitational potential energy. the mass is then dropped and accelerates to the ground. find the speed that the mass has when it collides with the ground

Answers

Answer 1

Answer:

[tex]6.3m/s[/tex]

Step-by-step explanation:

Note: We will take g as 9.8 in this question.

The two equations we will use for this questions are:

[tex]G.P.E = mgh[/tex], m = mass, g = acceleration due to gravity

and the SUVAT equation: [tex]v^2=u^2+2as[/tex]

First, let's start out by finding the height from which the object is being dropped. We can do this by using the gravitational potential energy formula.

Subbing the values we have:

[tex]50 = 2.5*9.8*h[/tex]

[tex]h = 2.04[/tex] - re-arranging for the height we get a height of 2.04.

Now we will use the SUVAT equation. Let's set out the variables we have:

[tex]S=2.04\\U=0\\V=?\\A=9.8\\T=N/A[/tex]

U (initial speed) is equal to 0 because we are dropping the object from rest. Acceleration is equal to 9.8 as that is the acceleration due to gravity. The displacement (S) is the height we just worked out.

Now let's put them into one of the SUVAT equations:

[tex]v^2=u^2+2as[/tex]

[tex]v^2=(0)^2+2(9.8)(2.04)[/tex]

[tex]v^2=39.984[/tex]

[tex]v=6.3 m/s[/tex]


Related Questions

Find the slope of the line
A 4/3
B 3/4
C -4/3
D -3/4

Answers

Answer: B) 3/4

Step-by-step explanation:

b 3/4...............

Determine if the three numbers form a
triangle. If they do, is it an acute, obtuse,
or right triangle?

7, 10, 12

A. acute
B. right
C. obtuse
D. not a triangle

Answers

Answer:

A acute

Step-by-step explanation:

cause an acute it between 0-90 degrees

Options
2
-2
1
-1
PLEASEE HELP ME

Answers

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-8}{6-2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1

the correct answer is -1

There were 80 runners to start a race. In the first half of the race, 1/5 of them dropped out. In the second half of the race, 5/8 of the remaining runners dropped out. How many runners finished the race

Answers

Answer:

24

Step-by-step explanation:

Initially, there were 80 runners in the race. After the first half, 1/5 of them dropped out (given). Therefore, 4/5*80=64 runners remain. In the second half, 5/8 of these 64 runners drop out, meaning 3/8*64=24 runners finished the race.

Determine the distance from point A to line j.
A) 2 units
B) 3 units
C) 5 units
D) 10 units

Answers

Answer:

D 10 units hhhttttttttttggffcccfgg

Answer:

My other answer was deleted for some reason

Step-by-step explanation:

What is the midpoint of the segment shown below?
10
O A. (-1,-1)
(-11,0)
- 10
10
O B. (-1,-2)
O C. (-2, -1)
(9,-1)
- 10
OD. (-2,-1)

Answers

The sixteenth one which is

HELP DUE IN 15 MINS!

x=??

Answers

Answer:

7

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Use the Intersecting chord theorem;

Rule: (CE) * (EB) = (AE) * (ED)

CE = x

EB = 15

AE = 9

ED = 10

=> (x) (15) = (9) (10)

15x = 90

Now Divide each side with 15

=> x = 6

Hope this helps!

Please help me hurry!! 7

Answers

Answer:

option 1

Step-by-step explanation:

Using the recursive formula and a₁ = 6 , then

a₂ = 3 + 2a₁²

    = 3 + 2 × 6² = 3 + 2 × 36 = 3 + 72 = 75

Yes right ♥️ correct answer

what's the best movie ever?

Answers

Answer: Most views  mayber black panther

Step-by-step explanation:

ASAP PLEASE
-WILL MARK BRIANIST

Answers

Answer:

D

Step-by-step explanation:

A. 9x9 = 81

B. 2x2x2x2x2 = 32

C. 10x10 = 100

D. 5x5x5x5 = 625

Answer:

5⁴ has the greatest value

Step-by-step explanation:

9² = 9 x 9 = 81

2⁵ = 2 x 2 x 2 x 2 x 2 = 32

10² = 10 x 10 = 100

5⁴ = 5 x 5 x 5 x 5 = 624

Therefore, 5⁴ has the greatest value!

Hope this helps!

2. Which equation could be used to find the length of line segment (NM)?

Hint: Use Sin when given the hypotenuse. Use Tan when given a leg.

21

N

20

A. (21) Tan (20°) = line segment (NM)

B.(21) Sin (20°) = line segment (NM)

Answers

Diagram isnt given. However, a picture illustribg the possible scenarios has been attached to help.

Answer:

KINDLY CHECK EXPLANATION

Step-by-step explanation:

Given the triangles A and B below :

Using trigonometric ratios :

If triangle A is given ;

Then ; MN will be obtained using the SIN relation :

Sin 20 = opposite (MN) / hypotenus (21)

If triangle B is given ;

Then ; MN will be obtained using the TAN relation :

Tan 20 = opposite (MN) / Adjacent (21)

Samantha measures the perimeter of a common shape.
One of the sides is 6 inches long, and the perimeter is 24 inches.
If all of the sides are the same length, what shape does Samantha measure?

Answers

Answer:

Square

Step-by-step explanation:

24÷6

=4

Squares have 4 sides

5. (07.02 MC) What is the value of y in the equation 2(2y - 16) = 0? (5 points) O 4 06 8 O O​

Answers

Answer:

8 mate.

Step-by-step explanation:

heavy metal is pretty brilliant.

Someone plz answer this o need it done

Answers

i believe the answer is B

please give brainliest if helped :)

Please help ASAP!!!! Which numbers are perfect squares? Check all that apply. A.20 B.40 C.64 D.4 E.49 F.48

Answers

Answer: 20 is not

40 is not

64 is

4 is

49 is

48 is not

Step-by-step explanation:

find the value of x 9 and 5

I don't know if I chose the correct answer can someone help please ​

Answers

Answer:

your correct its 56

Step-by-step explanation:

Alex had 806 dinosaurs. There were 102 Velociraptors, 243 Tyrannosauruses, and the rest were Brontosauruses. There were twice as many eggs as dinosaurs. How many eggs does Alex have?

Answers

Answer: 1,612 eggs

Step-by-step explanation:

Alex has a total of 806 dinosaurs. He also has twice as many eggs as he does dinosaurs.

The number of eggs is therefore:

= Number of dinosaurs * 2

= 806 * 2

= 1,612 eggs

Will mark brainlist if correct. SIN (C)=

Answers

Answer:

sinc C = 24/25

Step-by-step explanation:

sin is opposite side/hypotenuse

sinc C = 24/25

You need to memorize the definitions of all the trig functions and these types of problems will be really easy.

Answer:

24/25

Step-by-step explanation:

hope helpful have a great day

Write the equation for a radical function that has been flipped left and shifted down 1.

Answers

Answer:

[tex]g(x)=\sqrt{-x}-1[/tex]

Step-by-step explanation:

Let's use the parent function [tex]f(x)=\sqrt{x}[/tex] as an example

Because we are flipping the radical function left, this means [tex]f(x)=\sqrt{-x}[/tex]

Because we are shifting down 1 unit vertically, we have [tex]g(x)=\sqrt{-x}-1[/tex]

Therefore, the final function is [tex]g(x)=\sqrt{-x}-1[/tex]

Find the area of each semicircle. Round to the nearest tenth. Use 3.14 for Pi. 1. Diameter = 9.4 mm 2. Radius = 3 1/2 ft 3. Radius =8 in

Answers

Answer:

34.68 mm^2

19.23 ft^2

100.48 in^2

Step-by-step explanation:

Area of a circle = 0.5 x nr^2

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

0.5 x (9.4/2)^2 x 3.14 = 34.68

0.5 x (3.5)^2 x 3.14 = 19.23 ft^2

0.5 x (8)^2 x 3.14 = 100.48 in^2

The jet flies 1.5 times faster than the plane with a propeller. The propeller plane flies 165.7 miles per hour. How fast does the jet fly? ASAP PLEASE

Answers

the propeller-driven airplane has over the jet is that maximum thrust is ... efficiency at the higher altitudes is lost (turbofan engines are ... pilot is worse off than the propeller pilot. For ... applicable speed limit at all times.

Answer:

The Jet flies 164.2 mi.

Step-by-step explanation:

The surface area of a three-dimensional object is:


A. The total length of its edges incorrect answer

B. The area of one of its faces incorrect answer

C. The total area of its outer surface incorrect answer

D. The amount of space inside

Answers

Answer:

c

Step-by-step explanation:

The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3 dimensional object

for example, the total surface area of a cube is the sum of the area of all the six faces

the total surface area of a cube = 6a²

where a = edge

if a = 6

total surface area

6(6²) = 216

HELP ME PLEASE!. 20 points!

Answers

Answer:

Part 1: She will make $1,944.00 In 4 days.

Part 2: 0.38

GIVING BRAINLIEST, EASY 7TH GRADE MATH PROBLEM.

Answers

Answer:

the answer is c

Step-by-step explanation:

im in 7th gradealso

The correct answer is B

A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?​

Answers

Answer:

f(x)= 25(1 + 0.20)^t

Step-by-step explanation:

The formula- f(x)= a(1+r)^x

a= initial amount (25)

r= growth rate (20%... 0.20)

x= # of times (we don't have that in here)

When you plug in the values, you get

f(x)= 25(1 + 0.20)[tex]{t}[/tex]

hope this helps!!

Kate paid $34 for a dress that was on sale at 15% off. What was the original price for this dress?

Answers

Answer:

40

Step-by-step explanation:

Price x .85 (100-15%)=34

price=34/.85

price=40

The associative property is applicable to: *

I. Addition and subtraction
II. Multiplication and division
III. Addition and Multiplication
IV. Subtraction and Division

Answers

Answer:

III. Addition and Multiplication

4. addition and multiplication

Ian was driving down a road and after 4 hours he had traveled 88 miles. At this
speed, how many miles could lan travel in 10 hours?

Answers

Answer:220

Step-by-step explanation:88/4=22 x 10= 220

Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?

A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2

Answers

Answer:  B

Step-by-step explanation:  To find the best estimation to a simple decimal problem such as this one, first round each value to the nearest tenth, hundredth, or thousandth and then subtract.  So, for this problem, round each decimal to the nearest tenth.  

0.54 - 0.223

0.5 - 0.2

0.3

Please mark brainliest if I did this correctly.

Elise is investing 10,000 in an account that earns 2.25% simple interest. How many years will it take to have a balance of 12,700 in her account, if she does not add or withdraw from the account?

Answers

Answer:

12 years

Step-by-step explanation:

The formula to solve the above question i.e to find the time is given as:

Equation:

t = (1/r)(A/P - 1)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.25%/100 = 0.0225 per year,

then, solving our equation

t = (1/0.0225)((12700/10000) - 1) = 12

t = 12 years

Therefore, if she does not add or withdraw from the account, the time it

will take to have a balance of 12,700 in her account is 12 years

Other Questions
what matters most to norma?a. her marriageb. material thingsc. doing what is right d. solving the mystery WILL GIVE BRAINLILESTIn your speech you MUST explain what happened at Pearl Harbor, the situation in Europe, and the current economic situation in America. Your speech must be at least 6 sentences long Ncjc pls help help help help help help help helperlorororl dhhdhdjdjdjdkdkdkxlxzllzllz the diameter of a sphere is 42 centimeters. find the surface area to the nearest tenth Mario made this model to find the 3 digit number and a 1 digit number what multiplication sentence represents marios model help help help ill kiss u #savesheikhjarrahLets all pray for Palestine The "liability of foreignness" is the: a. political disadvantage that U.S. firms have when doing business abroad. b. inability of most U.S. managers to truly comprehend foreign cultures. c. preference for "buying local," which always puts foreign firms at a disadvantage when competing in the U.S. market. d. risk of participating outside a firm's domestic markets in the global economy. why is mother tounge important in teaching elementary grades? 50 words. what is 30x + 40 factored what the sum of (2105)+(3.8105)= i need help 8t math plz Instrumentation of Romantic periodmusic featuredA. parts for wind and brass instruments doublingwith the string parts.B. complete orchestration, with unique parts writtenfor the different sections of the orchestra.C. parts for strings and harpsichords but no partsfor wind or brass instruments. The statement below is a different way to say that the sides of these similar parallelograms are proportional.Complete the equations that go with the statement. The verb "poder" is usually used with a second verb. The second verb is usually in what form?A. presentB. infinitiveC. present progressiveD. present continuous Rosa had 592 stickers. She gave 212 stickers to Meg. Which is the best estimate for the number of stickers Rosa has left?A 200 B. 300C. 400 D.700 E. 800 WILL GIVE BRAINLIEST In homesickwhy doesnt jean want to sing, God save the king? Kieras middle school is conducting a survey to determine the winter dance theme. Which of the following best describes a random sample?1 pointA. All of the students in Mrs. Jacksons class are surveyedB. Fifty students names from each grade are drawn from a hatC. Fifty randomly selected staff members are surveyedD. Fifty randomly selected 7th graders are surveyed Read the passage and examine the text in bold. Then, answer the question.I always loved my grandfather's explanations of our seasons, "This is the country of three seasons. From June on to November it lies hot, still, and unbearable, sick with violent and unrelenting storms; then on until April, it is chill, quiet, and drinks its scant rain and scanter snows. From April to the hot season again, it is blossoming, radiant, and a seductress." His months were only approximate, later or earlier the rain-laden wind may drift up the water gate of the Colorado River from the Gulf and bring to us our heat, chill, or radiance. In the desert, we see the land sets its seasons by the rainDoes the bolded portion contain an error? Choose the correction if one is needed. radiance, and a seductress radiant, and seductive radiating, and a seductress No correction needed how did the geography of china affect its development