Buoyancy
A pound coin floating in mercury (Photo credit: Wikipedia)
I read in one of my chapters that when a body is immersed in a container of water (kept on a weighing machine which reads ‘W’ at first )the apparent weight lost by the body is equal to the buoyant force, and thus the reading ‘W’ increases.
Then I came across a question like this -
A beaker containing water kept on a weighing machine weighs W. A body of weight ’w’ is dropped in it. It is floating & experiencing a buoyant force B, then the reading on machine is -
(a)w+W
(b)W+B
(C)W+w-B
(d)W
please give me the answer and explanation
the book says answer is (a)
but I think it is (c)
(Anwesha posted this questions)
Answer
The answer is A.
The total force acting downwards is W+w and the weighing scale is providing an equal reaction. the normal reaction offered by the weighing scale is what we get as the reading.
therefore the reading on the weighing scale must be W+w
The buoyant force is acting on the object dropped and is not contributing to the normal reaction offered by the weighing scale.
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Question from Special Relativity
A spacecraft starts from earth moving at constant speed to planet A which is 20 light-hour away from Earth.
It takes 25 hour (according to an earth observer) for a spacecraft to reach this planet. Assuming that clocks are synchronized at the beginning of the journey, compare the time elapsed in the spacecraft frame for this one-way journey with the time elapsed as measured by an earth-based clock?
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Physics Numerical Problems posted by Nabeela
The following questions were posted by Nabeela. We are just posting the question as such so that the visitors can post the answers.
- A mass-less string pulls a mass of 20kg upward against gravity. The string would break if subjected to a tension greater than 400N. What is the maximum acceleration with which the mass can be moved upward?
- A bullet of mass 20g is fired from a gun of mass 10kg with a velocity of 180m/s. Find the velocity of recoil of the gun. Find the force required to stop the gun before it moves 20cm
A body of mass 40kg is moving up an inclined plane with a uniform velocity when a force of 460N is applied. If the plane is inclined to the horizontal by an angle of 45o,calculate the coefficient of kinetic friction between the surfaces.- If the coefficient of friction between the tyres of a truck and the road is k, show that the maximum stopping distance of the truck when moving with a velocity ‘v’ is v2/2 kg. Assume that the brakes are not applied
- A ball of mass 0.5kg moving with a speed of 20m/s collides with an identical ball at rest. After collision the direction of each ball makes an angle of 30o with the original direction. Find the speed of each ball after collision.
- What is the maximum horizontal distance that a ball thrown with a speed of 60 m/s can go without hitting the roof of a long hall 30m high?
- A ball is thrown horizontally strikes a wall 5m away. The height of the point struck by the ball is 1m lower than the height which it was thrown from. (1) With what velocity was it thrown (2) At what angle did the ball reach the wall?
- The time of flight of aprojectile is 10 seconds . its range on a horizontal plane is 100m . Calculate the angle of projection and the velocity of projection.
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A doubt from Dimensional Analysis
What about the correctness about the relation,
st=u+0.5a(2t-1), both dimensionally or any other
Prakash Adhikari asked
Answer
The equation refers to the displacement in the tth second and hence it should have the dimensions of speed; since it is the displacement in one second.
Under this consideration, the equation is dimensionally and otherwise correct.
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