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Shalnov [3]
3 years ago
6

A sled starts at rest with 51,450 j of potential energy. after traveling part of the way down the slope, the sled has 32,781 j o

f potential energy. if there is no friction, what is the kinetic energy of the sled?
Mathematics
2 answers:
I am Lyosha [343]3 years ago
8 0
In a mechanical system, it is a law that energy should be conserved. In this case, what is the initial energy should be equal to the total energy after the motion happened. We do as follows:

PE(at rest) = KE(during motion) + PE(after motion)
51450 J = KE(during motion)  + 32781 J
KE(during motion) = 18669 J
Dmitrij [34]3 years ago
4 0

Answer:

The Kinectic energy of the sled is 18669j

Step-by-step explanation:

From the above question.

Because the sled starts at rest ,

The total energy of the sled = 51,450j

The potential energy ( P.E) after traveling down the slope = 32,781 j

Total energy = Potential energy + Kinectic Energy

Kinectic Energy = Total energy - Potential Energy

Kinectic energy = 51,450 j - 32,781 j

= 18669j

Therefore, the Kinectic Energy of the sled = 18669j

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Tommy is thinking of a number between 800 and 900 He divides it by 4 and there is a remainder of 1 He divides it by 5 and there
Finger [1]

Answer:

841

Step-by-step explanation:

If the number is divided by 4 and the remainder is 1, the last digit must be 1, 3, 5, 7 or 9.

If the number is divided by 5 and the remainder is 1, the last digit must be 6 or 1.

So we already know the last digit must be 1.

The numbers between 800 and 900, with last digit 1, that divided by 6 have a remainder of 1 are:

811, 841, 871

The numbers between 800 and 900, with last digit 1, that divided by 7 have a remainder of 1 is just 841

So Tommy's number is 841.

5 0
3 years ago
A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest
nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

6 0
3 years ago
Which expression is equivalent to (4x+11)+7x?
Anna007 [38]
HEY THERE FAM.

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7 0
3 years ago
Read 2 more answers
Which expression represents the product of negative three-fourths x and –8x?
den301095 [7]

Answer:

6x²

Step-by-step explanation:

-\frac{3}{4} x\times \left( -8x\right)  =\frac{3}{4} x\times 8x

                     =\frac{3}{4} \times 8\times x\times x          

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7 0
2 years ago
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