Download App

PART - 2 CH - 9 Mechanical Properties of Fluids — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsPART - 2 CH - 9 Mechanical Properties of Fluids3 Marks
Question
The weight of an empty boat is 500 kg. When it floats 1/3 part of its sink in water. Find out what is the maximum weight can be loaded on the boat?
✓

Answer

Let the rolume of the boat be $V m ^3$ and the density of water be $\rho$.
Since boat is empty V/3 part is sink in water. Hence, the weight of water removed by the submerged part
$=\frac{V}{3} \times \rho \times g$ of the boat.
From principle of floating
Weight of boat = Weight of water removed by the boat
$\begin{array}{l}\Rightarrow \quad 500 \times g=\frac{V \rho g}{3} \\\Rightarrow \quad 1500 g=V \rho g\ldots\ldots (1)\end{array}$
Let the maximum weight can be loaded on the boat be W kg . Then weight of water removed by the boat is equal to the total weight of the boat.
i.e. the volume of water removed will be equal to the total volume of the boat.
Hence, $( W +500) g = V \rho g\dots\ldots (2)$
Compare eq. (1) and (2)
$\begin{aligned}(W+500) g & =1500 g \\W & =1500-500=1000 kg\end{aligned}$
Therefore maximum weight on the boat is 1000 kg can be loaded.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from PART - 2 CH - 9 Mechanical Properties of Fluids→PART - 2 CH - 9 Mechanical Properties of Fluids — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A body of mass $1.0kg$ is suspended from a weightless spring having force constant $600Nm^{-1}$. Another body of mass $0.5kg$ moving vertically upwards hits the suspended body with a velocity of $3.0ms^{-1}$ and gets embedded in it. Find the frequency of oscillations and amplitude of motion.
→
A particle moves in a circle of radius $20cm$. Its linear speed at any time is given by $v = 2t$ where v is in m/s and t is in seconds. Find the radial and tangential accelerations at $t = 3$ seconds and hence calculate the total acceleration at this time.
→
Calculate the angular speed of the seconds hand of a clock. If the length of the seconds hand is 4cm, calculate the speed of the tip of the seconds hand.
→
Calculate focal length of a spherical mirror from the following observations: object distance $\text{u} = (50.1 \pm 0.5)\text{cm}$ and image distance $\text{v} = (20.1 \pm0.2)\text{cm} .$
→
If the initial velocity of a particle is u and collinear acceleration at any time t is $\text{a}\propto\text{t}.$ calculate the final velocity of the particle after time t.
→
A function $\text{f}(\theta)$ is defined as:$\text{f}(\theta)=1-\theta+\frac{\theta^2}{2!}-\frac{\theta^3}{3!}+\frac{\theta^4}{4!}$
Why is it necessary for q to be a dimensionless quantity?
→
The current in a long solenoid of radius $R$ and having $n$ turns per unit length is given by $\text{i}=\text{i}_0\sin\omega\text{t}.$ A coil having $N$ turns is wound around it near the centre. Find
  1. The induced $\text{emf}$ in the coil.
  2. The mutual inductance between the solenoid and the coil.
→
Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill upto a particular common height. Is the force exerted by the water on the base of the vessel the same in the two cases ? If so, why do the vessels filled with water to that same height give different readings on a weighing scale?
→
The reading of pressure meter attached to a closed pipe is $3.5 \times 10^5 Nm ^{-2}$. On opening the valve of the pipe, the reading of the pressure meter is reduced to $3.0 \times 10^5 Nm ^{-2}$. Calculate the speed of the water flowing in the pipe.
→
Given that the amplitude of the scattered light is:
  1. Directly proportional to that of incident light.
  2. Directly proportional to the volume of the scattering dust particle.
  3. Inversely proportional to its distance from the scattering particle.
  4. Dependent upon the wavelength $(\lambda)$ of the light. Show that the intensity of scattered light varies as $1$.
→