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1 year ago

A 3.00-g copper penny at 25.0°C drops from a height of50.0 m to the ground. (

1 answer:

6 0

The potential energy, E, of the penny is given by E=mgh. The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT. We can equate these two to get the result but we must use proper units and include the 60%:
(0.6)mgh=mcΔT
We see we can divide out the mass from each side
0.6gh=cΔT, then 0.6gh/c=ΔT
(0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C
since this is the change in temperature and it started at 25°C we get
T=25.7644°C
As you can see the result does not depend on mass. The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.

You might be interested in

Which table shows exponential decay? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The sec

zvonat [6]

Answer:

The first table; <em>the first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.</em>

Step-by-step explanation:

Exponential decay means that the graph or table is exponentially decreasing. Meaning, if you went from point 4 to 1, you would see an exponential increase. Other tables show other forms of functions, such as quadratic, or linear. To find out which rate it is decaying by, ask yourself, at 0, what is the y output? You can then divide the output of 0 by 1, and so on. If it is decaying at a consistent rate, then you know it is exponential. If you do not need to divide, but know it is decaying at a rate of two, it is linear. If it does not divide the first time smoothly, it is quadratic. It could also be a number of things.

I hope this helps you. We studied this quite a while ago, and I do not remember the equation at the tip of my tongue, and I do not want to give you wrong information. Have a great rest of your day!

4 0

2 years ago

Read 2 more answers

Freddie put an empty bucket underneath a leaking pipe. After 3/4 hours, Freddie collected 1/2 cups of water. What is the rate, i

lidiya [134]

0.35 cups/hour

To be able to determine the rate at which the water is leaking from the pipe with the information given, you have to divide the number of cups by the number of hours in which they were collected:
12 cups/34 hours= 0.35 cups/hour
According to this, the answer is that the rate at which the water is leaking from the pipe is 0.35 cups/hour.

Hope this helps!!

5 0

1 year ago

The high temperatures in Montana are recorded for a week. High Temperatures Sunday 46°F Monday 52°F Tuesday 51°F Wednesday 54°F

Elan Coil [88]

Answer:

Step-by-step explanation:

to get the mean you need to add up all the numbers

46+52+51+54+49+51+61=364

then divide that sum by the amount of numbers you have

364 divided by 7=52

so the mean you have is 52 degrees

5 0

1 year ago

Read 2 more answers

Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of thre

Andreyy89

Answer:

The number of different combinations of three students that are possible is 35.

Step-by-step explanation:

Given that three out of seven students in the cafeteria line are chosen to answer a survey question.

The number of different combinations of three students that are possible is given as:

7C3 (read as 7 Combination 3)

xCy (x Combination y) is defines as

x!/(x-y)!y!

Where x! is read as x - factorial or factorial-x, and is defined as

x(x-1)(x-2)(x-3)...2×1.

Now,

7C3 = 7!/(7 - 3)!3!

= 7!/4!3!

= (7×6×5×4×3×2×1)/(4×3×2×1)(3×2×1)

= (7×6×5)/(3×2×1)

= 7×5

= 35

Therefore, the number of different combinations of three students that are possible is 35.

3 0

1 year ago

Read 2 more answers

An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r

Elena L [17]

The problem is modelled in the diagram below

Question 1:
The largest area of the pool is half of the area of the circle

Area of circle = πr², where r is the radius given by 1/2 of the diameter
Area of circle = π(60)² = 11309.73355 feet

Area of half of the circle is 11309.73355/2 = 5654.866... ≈ 5654.87 feet (2dp)

Question b:

The area of the pool is the area of the circle subtracts the area of the triangle.

The area of the circle is 11309.73²

The area of the triangle is 1/2 (60×103.92) = 3117.6 feet²

The area of the pool is 11309.73 - 3117.6 = 7922.13 feet²

The volume of the pool = 7922.13 × 4 = 31688.52 feet³

Note: there isn't any information on the fish tank part so the answer above is assumed for the whole pool.

6 0

1 year ago