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2 years ago

What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?

Mathematics

1 answer:

serious [3.7K]2 years ago

5 0

Answer:

Step-by-step explanation:

800 J/kgC

What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?

it is 800 J/kgC

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Hi guys, can anyone help me with this triple integral? Many thanks:)

Crank

Another triple integral. We're integrating over the interior of the sphere

$x^2+y^2+z^2=2^2$

Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

$y^2=4-x^2-z^2$

x is the inner integral so at this point we conservatively say its zero. That means y goes from $-\sqrt{4-z^2}$ and $+\sqrt{4-z^2}$

Similarly the inner integral x goes between $\pm-\sqrt{4-y^2-z^2}$

So we rewrite the integral

$\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz$

Let's work on the inner one,

$\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz$

There's no z in the integrand, so we treat it as a constant.

$=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}$

So the middle integral is

$\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy$

I gotta go so I'll stop here, sorry.

7 0

3 years ago

Read 2 more answers

The table shows how many shirts four garment factories made and how long it took to make them. The relationship between the numb

german

If you would like to know the production rate of factory E, you can calculate this using the following steps:

Factory Number of days Number of shirts
A 2 600
B 3 900
C 4 1200
D 5 1500

Factory E can make shirts at the same rate as the first four factories:
600 shirts / 2 days = 300 shirts per day
900 shirts / 3 days = 300 shirts per day
1200 shirts / 4 days = 300 shirts per day
1500 shirts / 5 days = 300 shirts per day

Factory E will make 1800 shirts in 6 days, therefore 1800 / 6 = 300 shirts per day.

The correct result would be:
Factory Number of days Number of shirts
E 6 1800

8 0

3 years ago

Read 2 more answers

If f(x) = 56-2x, find f(7)

Lorico [155]

Answer: 42

Step-by-step explanation:

Simply substitute 7 for x.

56 - 2(7)

56 - 14

Hope it helps <3

3 0