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vlabodo [156]
3 years ago
15

Which of the following objects has more kinetic energy than it does potential energy? Select the correct answer below:______1.a

compressed spring in a pinball machine just before the ball is launched a rollercoaster motionless at the top of a track a yo-yo before it is released the pendulum of a grandfather clock at the lowest point of its arc of motion
Physics
1 answer:
Lilit [14]3 years ago
6 0

Answer:

The pendulum of the clock.

Explanation:

Hi there!

The kinetic energy is the energy associated with the velocity of the object. The potential energy is the energy associated with the position of the object. In the objects listed in the question, only one object is moving: the pendulum of the clock (assuming that the clock is functioning). If the clock functions, the pendulum is moving when it is at the lowest point of its arc of motion and with maximum velocity. All potential energy that the pendulum stored when it reached the highest height, is transformed into kinetic energy at the lowest point. Thus, at that point, the object has more kinetic energy than potential energy.

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Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the o
julsineya [31]

Answer:

1) k=-\frac{1}{46}\approx -0.02 

2) \textit{Limiting value} = 24

3) T(10)\approx \frac{494611944}{6436343}\approx 76.8

Explanation:

First of all note that  

T_s=24 is the surroundings temperature, the temperature of the room where the cup of coffee is. Then, the differential equation is:  

\frac{dT}{dt}=k(T-24)

Also, note that all units are in degrees celsius and minutes. Then, we don't have to convert units. Let's not write units explicitly from now on.  

Explanation  

1) We have that  

\textit{rate of cooling}=\frac{dT}{dt}=1,\quad T=70

at some point - the exact time at which this is true doesn't really play any role because the equation doesn't have t on the right hand side. Then, from the equation we get  

1=-(70-24)=46k\Rightarrow k=-\frac{1}{46}\approx -0.02

The minus comes from considering the temperature must decrease. With this value we can write the equation more explicitely:  

\frac{dT}{dt}=-\frac{1}{46}(T-24)

2) The coffee is cooling off as time goes by, and it won't get any cooler than 24 degrees celsius because that's the temperature of the room. Then, in the long run, the temperature of the coffee is 24 degrees celsius.  

3) Remember that Euler's method consists of using an initial exact measurement to predict what will happen in the future, approximately. There is a formula to make those predictions an it depends on the time step they gave us. Let's compute things first and then I tell you the equations we used.  

In this case we know that we start with a 90 degrees celsius cup of coffee, or, in terms of math,  

T(0)=90

Then, we can predict:  

T(2)\approx 90+2\left[-\frac{1}{46}(90-24)\right]=\frac{2004}{23}\approx 87.1

Let's use fractions so we don't lose accuracy from now. With this number we can make an approximation of the temperature after 2 more seconds:  

T(4)\approx \frac{2004}{23}+2\left[-\frac{1}{46}\left(\frac{2004}{23}-24\right)\right]=\frac{44640}{529}\approx 84.4

and then  

T(6)\approx \frac{44640}{529}+2\left[-\frac{1}{46}\left(\frac{44640}{529}-24\right)\right]=\frac{994776}{12167}\approx 81.8

and then  

T(8)\approx \frac{994776}{12167}+2\left[-\frac{1}{46}\left(\frac{994776}{12167}-24\right)\right]=\frac{22177080}{279841}\approx 79.2  

and finally, the number we wanted to find:

T(10)\approx \frac{22177080}{279841}+2\left[-\frac{1}{46}\left(\frac{22177080}{279841}-24\right)\right]=\frac{494611944}{6436343}\approx 76.8  

I hope you noticed the pattern to compute the next prediction:  

\textit{next prediction} = \textit{previous one (or exact value if it's the first step)}\\+ h\ast(\textit{right hand side of the differential equation at the previous one})

5 0
3 years ago
a. Define Valency. b. Write the symbol and valency of the following : (i) Oxygen (ii) potassium 7. a. Magnesium burns in Oxygen
sweet-ann [11.9K]

Answer:

Oxygen-Symbol-O Potassium Symbol-K

6 0
3 years ago
Read 2 more answers
Which statement BEST explains why the specific heat of water is higher than the specific heat of most other substances?
solniwko [45]
Due to its polarity and hydrogen bonding water can absorb heat without a significant temperature change.. The high specific heat of water helps regulate the rate at which air changes temperature, which is why the temperature change between seasons is gradual instead of sudden, especially near the oceans.
5 0
3 years ago
Read 2 more answers
A sound wave has a frequency of 265 hz and a wavelength measured at 1.3
pochemuha

Answer:

V = f λ     speed of wave in terms of frequency and wavelength

t = S / V      time for wave to travel a distance S

t = 91.4 m / 344.5 m/s = .265 sec        time to travel 91.4 m

8 0
2 years ago
During a neighborhood baseball game in a vacant lot, a particularly wild hit sends a 0.148 kg baseball crashing through the pane
mr_godi [17]

Explanation:

Mass of baseball, m = 0.148 kg

Initial speed of the ball, u = 14.5 m/s

Final speed of the ball, v = 11.5 m/s

After crashing through the pane of a second-floor window, the ball shatters the glass as it passes through, and leaves the window at 11.5 m/s with no change of direction. So, the direction of the impulse that the glass imparts to the baseball is in opposite direction to the direction of the balls path.

The change in momentum of the ball is called impulse. It is given by :

J=m(v-u)\\\\J=0.148\times (11.5-14.5) \\\\J=-0.444\ kg-m/s\\\\|J|=0.444\ kg-m/s

Hence, this is the required solution.

3 0
3 years ago
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