A3.00 kg toy falls from a height of 1.00 m. what will the kinetic energy of the toy be just before the

4 answers
Question:

A3.00 kg toy falls from a height of 1.00 m. what will the kinetic energy of the toy be just before the toy hits the ground? (assume no air resistance and that g = 9.81 m/s)

Answers

Potential energy=mgh
m=3kg
g= 9.81 m/s)
h= 1.00 m
p.E= 3*9.81*1 = 29.43 Joules 
 (1/2)mv^2=mgh
so the kinetic energy is equal to
=29.4 J 

We have following data given 
m=3.00 kg
h = 1.00 m
g = 9.81 m/s 
Solution 
KEf=PEg=mgh
so 
KE=mgh=(3.00 kg)(9.81 m/s)(1.00 m)
KE=29.4 J

K E = 29.4 J

Explanation:

given,

mass of the toy = 3 Kg

height of fall = 1 m

acceleration due to gravity (g)= 9.8 m/s²

Kinetic energy of the toy = ?

Using conservation of energy

Potential energy of the toy at height h will be converted into  into kinetic energy .

P E = K E

K E = m g h

K E = 3 x 1 x 9.8

K E = 29.4 J

Hence, the kinetic energy of the toy before it hit the ground is equal to K E = 29.4 J

Kinetic energy formula: Ek = m · v² / 2
We have: m= 3 kg,  v= ?
h= g·t²/2 ,     t²= 2h/g = 2 m / 9.81 m/s² = 0.2 s² ,  t=√0.2(sqrt)= 0.45 s
v= g· t = 9.81 m/s² · 0.45 s = 4.43 m/s
Finally: Ek=[tex]\frac{m v^{2} }{2} = \frac{3 kg * (4.43 m/s)^{2} }{2} = \frac{58.87 J}{2}[/tex]= 29.43 J

Similar Solved Works

4 answers

-12(5/6a-7/8)+1/14(3 1/2a - 1 2/5)

-12(5/6a-7/8)+1/14(3 1/2a - 1 2/5)...
4 answers

Which two fixed points define the shape of a hyperbola

Which two fixed points define the shape of a hyperbola...
2 answers

A bag contains 3 blue marbles, 7 red marbles, and 5 blue marbles. If Nathan picks 1 marble from the

A bag contains 3 blue marbles, 7 red marbles, and 5 blue marbles. If Nathan picks 1 marble from the bag at random, what is the probability that it will be blue?...
9 answers

Find the first five terms of each sequence.a) a_1 = 2, a_n + 1 = a_n + 3 b) a_1 = ­-4, a_n + 1 =

Find the first five terms of each sequence. a) a_1 = 2, a_n + 1 = a_n + 3 b) a_1 = ­-4, a_n + 1 = a_n + n^2 [tex]Find the first five terms of each sequence. a) a_1 = 2, a_n + 1 = a_n + 3 b) a_1 = ­-4, a_n + 1 =[/tex]...
4 answers

USF freshman expenditure is distributed normally with a mean expenditure of $45.67 and a standard deviation

USF freshman expenditure is distributed normally with a mean expenditure of $45.67 and a standard deviation of $5.50. What is the probability that USF freshman expenditure is between 46 and 49.56 dollars?...
3 answers

Let's find the slope between your two points. ( − 4 , 18 ) ; ( 2 , 6 )

Let's find the slope between your two points. ( − 4 , 18 ) ; ( 2 , 6 )...
4 answers

Ascientist is examining a single-celled organism that is often found in the human body; some examples of this organism are

Ascientist is examining a single-celled organism that is often found in the human body; some examples of this organism are and some are harmful to humans. what kingdom does this organism belong to? (4 points) animalia archaebacteria eubacteria protista...
3 answers

If the total soda market is $50 Billion and Dr. Pepper has a $10 Billion market, what is Dr. Pepper's market share?

If the total soda market is $50 Billion and Dr. Pepper has a $10 Billion market, what is Dr. Pepper's market share?...
4 answers

If l=5 and b=3 ,find the values of L*B

If l=5 and b=3 ,find the values of L*B...
2 answers

Wanna me out? ? kinda need it anyway

Wanna me out? ? kinda need it anyway...
4 answers

Which is an estimate of 14 to the nearest hundredth

Which is an estimate of 14 to the nearest hundredth...
10 answers

Which of the following ordered pairs lies on the graph of y = tanx? (5 pi, 0) (- 5pi/2, -1) (- 9pi/4, 1) ( pi/6 , \sqrt(3)...
3 answers

UseWhat two (2) Companies do youbelieve grasp and use the marketing concept?And why do you believe so?

Use What two (2) Companies do you believe grasp and use the marketing concept? And why do you believe so?...
10 answers

Factor a number variable or expression out of the polynomial shown below. 15x^3 +20x a. 5x(3x^2+4x)

Factor a number variable or expression out of the polynomial shown below. 15x^3 +20x a. 5x(3x^2+4x) b.5x(3x^2+4) c. 15x(x^2+4x) d.15x(x^2+5x)...
6 answers

Sarah uses a recipe to make 2 gallons of her favorite mixed berry juice. two of the containers she plans

Sarah uses a recipe to make 2 gallons of her favorite mixed berry juice. two of the containers she plans to use to store the juice have a capacity of 1 quart. the rest of the containers she plans to use have a capacity of 1 pint. how many pint-sized containers will sarah need...
4 answers

Show the progress practices of accounting standardization in Tanzania.​

Show the progress practices of accounting standardization in Tanzania.​...
10 answers

F. scott fitzgerald's decision to write the great gatsby from nick carraway's point of view means that

F. scott fitzgerald's decision to write the great gatsby from nick carraway's point of view means that readers question 5 options: are not likely to be interested in the story because nick is the novel's least interesting character never learn what happens to gatsby after myrtle wilson's death hav...
6 answers

What is the united states main economic interests in southwest asia

What is the united states main economic interests in southwest asia...
5 answers

ANYONE CAN HELP ME WITH THESE QUESTIONS PLEASE ASAP

ANYONE CAN HELP ME WITH THESE QUESTIONS PLEASE ASAP [tex]ANYONE CAN HELP ME WITH THESE QUESTIONS PLEASE ASAP[/tex][tex]ANYONE CAN HELP ME WITH THESE QUESTIONS PLEASE ASAP[/tex][tex]ANYONE CAN HELP ME WITH THESE QUESTIONS PLEASE ASAP[/tex]...
3 answers

¿Por qué motivos fue tan importante para los artistas del Renacimiento estudiar y copiar las obras

¿Por qué motivos fue tan importante para los artistas del Renacimiento estudiar y copiar las obras de la antigüedad clásica?...

-- 0.016105--