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

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

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:

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

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 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:

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

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:

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...............

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

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

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!

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:

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

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.

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.

HELP ME PLEASE!. 20 points!

Answers

Answer:

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

Part 2: 0.38

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!

what's the best movie ever?

Answers

Answer: Most views  mayber black panther

Step-by-step explanation:

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

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!!

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

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

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

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

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)

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

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

Someone plz answer this o need it done

Answers

i believe the answer is B

please give brainliest if helped :)

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.

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