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Umnica [9.8K]
3 years ago
9

In an experiment, it took 300s to increase the temperature of 0.1kg of the liquid from 25°C to 50°C. During this period, the ene

rgy supplied by the heater was 13600J, and the apparatus was losing heat at an average rate of 12J/s. Assuming the heat capacity of the container can be ignored, calculate the value of the specific heat capacity of the liquid. Pls I need urgent answers!!!​
Physics
1 answer:
klemol [59]3 years ago
4 0

Answer:

<h2>4000 \textbf{J}\text{ }\textbf{kg}^{\textbf{-1}}\text{ }\textbf{K}^{\textbf{-1}} </h2>

Explanation:

        The temperature of 0.1 kg of liquid rises from 25°C to 50°C in 300 sec. Energy of 13,600 J was supplied during this time. Appartus was losing energy at the rate of 12 J/sec.

       Let us assume the Specific heat capacity as s.

      As there is no state change from liquid to gas, only Specific heat capacity is involved. Also, work done is approximately zero because volume does not change much. So,

       Energy gained = Energy required to rise the temperature

       Energy gained by liquid = 13600\text{ }J-(300\text{ }sec)\times(12\text{ }\frac{J}{sec})=10000\text{ }J

       10000\text{ }J=m\times s\times\Delta T=(0.1\text{ }kg)\times(s)\times(323K-298K)=2.5s\text{ }kgK\\s=4000\text{ }\frac{J}{kg.K}

∴ Specific heat capacity of liquid = 4000 \frac{J}{kg.K}

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Answer:

C. a motorcycle changing speed from 20km/h to 35km/h

Explanation:

The choice not showing unbalanced forces acting on the object is a motorcycle changing speed from 20km/h to 35km/h.

This change in velocity shows that the body is accelerating during the time interval.

When a body is accelerating, it is changing it's motion and this implies that some unbalanced forces are acting in the body. Unbalanced body changes the state of motion of a body from rest to acceleration or deceleration as the case may be.  

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An oscillator makes 360 vibrations in 3 minutes.
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Explanation :

It is given that an oscillator makes 360 oscillations in 3 minutes.

(a) Using unitary method :

No. of vibrations in one minute is, n=\dfrac{360}{3}=120

So, no of vibrations in one minute is 120.

(b) Similarly,

3 minutes = 180 seconds

No of vibrations in one second is \dfrac{360}{180}=2

So, the no of vibrations in one second is 2.

(c) Time period of the wave is given by :

T=\dfrac{1}{2\ s^{-1}}

T=0.5\ s

The time period of the wave is 0.5 s

(d) The no of vibation per second is called as its frequency.

\nu=\dfrac{1}{T}

\nu=2\ Hz

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3 years ago
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A worker exerts a pulling force on a box. The worker exerts this force by attaching a rope to the box and pulling on the rope so
shusha [124]

Answer:

<em>The magnitude of the pulling force is 20.66% of the gravitational force acting on the box</em>

Explanation:

<u>Accelerated Motion</u>

The net force exerted on a body is the (vector) sum of all forces applied to the body. The net force can be decomposed in its rectangular components and the dynamics of the body can be studied in each direction x,y separately.

Let's start off by calculating the acceleration the worker gives to the box when pulling it. The distance traveled by the box initially at rest in a time t at an acceleration a is given by

\displaystyle x=\frac{at^2}{2}

Solving for a

\displaystyle a=\frac{2x}{t^2}

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Now we analyze the geometric of the forces applied to the box. Please refer to the free body diagram provided below.

The forces in the y-axis must be in equilibrium since no movement takes place there, thus, being g the acceleration of gravity:

T_y+N=m.g

There Ty is the vertical component of the tension of the rope, N is the normal force, and m is the mass of the box

The decomposition of T gives us

T_y=Tsin\theta

T_x=Tcos\theta

Solving the above equation for N

Tsin\theta+N=m.g

N=m.g-Tsin\theta\text{..........[1]}

Now for the x-axis, there are two forces acting on the box, the x-component of the tension and the friction force Fr. Those forces are not equilibrated, thus acceleration is produced:

Tcos\theta-F_r=m.a

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F_r=\mu N

Tcos\theta-\mu N=m.a

Replacing N from [1]

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Solving for T

T(cos\theta+\mu sin\theta)=m.a+\mu m.g

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We don't know the value of m, thus we'll plug in the rest of the data

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Dividing by the weight of the box m.g

T/(m.g)=2.0252/9.8=0.2066

Thus, the magnitude of the pulling force is 20.66% of the gravitational force acting on the box

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