Answer:
Part a)

Part b)

Part c)
Since we know that the base area will remain same always
so here the length and width of the object is not necessary to obtain the above data in such type of questions
Explanation:
Part a)
As we know that when cylinder float in the water then weight of the cylinder is counter balanced by the buoyancy force
So here we know
buoyancy force is given as



Now we know that the weight of the cylinder is given as

now we have


Part b)
When the same cylinder is floating in other liquid then we will have

so we have


Part c)
Since we know that the base area will remain same always
so here the length and width of the object is not necessary to obtain the above data in such type of questions
Answer:
5.5 N at 50.8° north of west.
Explanation:
To find the resultant of these forces, we have to resolve each force along the x- and y-direction, then find the components of the resultant force, and then calculate the resultant force.
The three forces are:
(east)
(west)
(at 60° north of west)
Taking east as positive x-direction and north as positive y-direction, the components of the forces along the 2 directions are:



Threfore, the components of the resultant force are:

Therefore, the magnitude of the resultant force is

And the direction is:

And since the x-component is negative, it means that this angle is measured as north of west.
Answer:
730.4 m
Explanation:
The sound waves travels with a uniform motion (=constant velocity), therefore we can calculate the distance it travels using the formula:

where
d is the distance
v is the speed of the sound wave
t is the time taken
In this problem we have:
v = 332 m/s is the speed of sound in air
t = 2.2 s is the time elapsed
Therefore, the distance between the tower and the person is

Answer:
P = 75 W
Explanation:
given,
Distance, L = 8 m
Force,F = 150 N
Time, t = 16 s
Work by the climber
Work done = Force x displacement
W = F. L
W = 150 x 8
W = 1200 J
We know,


P = 75 W
Hence, Power climber is using to climb is equal to 75 W.