1. Which of the following statements about Pascal\'s principle is true?(please e

Question

1. Which of the following statements about Pascal's principle is true?(please explain little bit)

a.None of these is true
b.It is valid only for objects that are less dense than water
c.It explains why the pressure is greater at the bottom of a lake than at the surface
d.It is valid only for incompressible fluids
e.It explains why light objects float

2. An Russian spy satellite nears the end of its life due to air resistance. Before it meets its demise: (please explain too)

a.it moves slower as the orbit lowers
b.it moves faster in the same orbit but with an increasing period
c.it moves slower in the same orbit but with a decreasing period
d.it slowly spirals away from Earth
e.It moves faster as the orbit lowers

3. A particle is located on the x axis 4.5 m from the origin. A force of 31 N, directed 30° above the x axis in the x-y plane, acts on the particle. What is the torque about the origin on the particle? Round your answer to the nearest whole number. Use a minus sign to indicate a negative direction and no sign to indicate a positive direction.

Explanation / Answer

Q1. option d is correct.

Pascal's law states that pressure change anywhere in an incompressible fluid is transferred uniformely over the fluid

Q2. as speed is inversely proportional to square root of radius,

as the orbit radius decreases, the speed increases.

hence option e is correct.

Q3. force in vector notation=F=31*(cos(30) i + sin(30) j)

=26.847 i + 15.5 j

position vector=4.5 i

then torque=cross product of position vector and force

=cross product of 4.5 i and (26.847 i + 15.5 j)

=69.75 k

so torque is of magnitude 69.75 N.m and along +ve z axis.

rounding magnitude to nearest number, answer is 70 N.m

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