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dimulka [17.4K]
3 years ago
12

A string attached to an airborne kite is maintained at an angle of 41 degrees with the horizontal. If a total of 152 m of string

is reeled in while bringing the kite back to the ground, what is the horizontal displacement of the kite in the process
Physics
1 answer:
satela [25.4K]3 years ago
3 0

Answer:

The  horizontal displacement is  Adj  =  114.71 \ m

Explanation:

From the question we are told that  

    The  angle at which the string is maintained is  \theta  =  41 ^o

      The length of string reeled in is  l  = 152 \ m

     

Using the SOHCAHTOA formula

   We have that the hypotenuse(Hyp) is  l  =  152

Hence the  horizontal displacement of the kite  which is the Adjacent(Adj)  can be evaluated as  

     cos \theta  =  \frac{Adj}{Hyp }

substituting values

     cos(41)  =  \frac{Adj}{152}

=>   Adj  =  114.71 \ m

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Milk with a density of 1020 kg/m3 is transported on a level road in a 9-m-long, 3-m-diameter cylindrical tanker. The tanker is c
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Solution :

Given data is :

Density of the milk in the tank, $\rho = 1020 \ kg/m^3$

Length of the tank, x = 9 m

Height of the tank, z = 3 m

Acceleration of the tank, $a_x = 2.5 \ m/s^2$

Therefore, the pressure difference between the two points is given by :

$P_2-P_1 = -\rho a_x x - \rho(g+a)z$

Since the tank is completely filled with milk, the vertical acceleration is $a_z = 0$

$P_2-P_1 = -\rho a_x x- \rho g z$

Therefore substituting, we get

$P_2-P_1=-(1020 \times 2.5 \times 7) - (1020 \times 9.81 \times 3)$

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Explanation:

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(a) Suppose a meter stick made of steel and one made of invar are the same length at 0°C. What is their difference in length at
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Explanation:

Given that,

Initial temperature T_{i}=0^{\circ}C

Final temperature T_{f}=48.0^{\circ}C

Length = 34.0 m

We know that,

Coefficient of linear expansion of Invar is

\alpha=0.9\times10^{-6}/^{\circ}C

Coefficient of linear expansion of steel is

\alpha=12\times10^{-6}/^{\circ}C

We need to calculate the temperature difference is

\Delta T=T_{f}-T_{i}

\Delta T=48.0-0

\Delta T=48.0^{\circ}C

We need to calculate the change in length of Invar

Using formula of change in length

\Delta l=l\times\alpha\times\Delta t

Put the value into the formula

\Delta l=34\times0.9\times10^{-6}\times48.0

\Delta l=0.0014688=1.47\times10^{-3}\ m

\Delta l= 1.47\ mm

We need to calculate the change in length of steel

\Delta l'=34\times12\times10^{-6}\times48.0

\Delta l'=0.019584=19.59\times10^{-3}\ m

\Delta l'=19.59\ mm

Difference in length of two 34.0 m

Long surveyor's tapes is

\Delta L=\Delta l'-\Delta l

Put the value into the formula

\Delta L=19.59-1.47=18.12\ mm

The difference in length is 18.12 mm.

Hence, This is the required solution.

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