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balu736 [363]
3 years ago
6

The linear momentum is a constant when the mass varies inversely of the velocity. If the velocity is 16 meters per second and th

e object weighs 450 kilograms, what is the weight for an object with a velocity of 12 meters per second?
400 kilograms
600 kilograms
6,400 kilograms
7,200 kilograms
Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer:

the weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

The linear momentum of an article is : p = mv

Where p = Momentum

m = mass

v = velocity

The velocity is 16 meters per second and the object weighs 450 kilograms

So, p = 450 \times 16

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that the linear momentum is a constant when the mass varies inversely of the velocity.

So, 450 \times 16 = 12 \times m\\\frac{450 \times 16}{12}=m\\600=m

Hence the weight for an object with a velocity of 12 meters per second is 600 kilograms

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Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of
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STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm


STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48


STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm


CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250


ANSWER: Shelf two is 114 cm.

Hope this helps! :)
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3 years ago
If the present value of my investment is $8,000 and the rate of interest is 12% compounded annually, what will the value be afte
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Answer:

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Step-by-step explanation:

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