Answer:
5km
Explanation:
Magnitude of displacement is found by getting the resultant. Resultant is same as the bypotenuse hence
where x is the displacement in west direction and y is displacement in North direction. Substituting x with 3km and y with 4 km then
For Pascal's law, the pressure is transmitted with equal intensity to every part of the fluid:

which becomes

where

is the force on the first piston

is the area of the first piston

is the force on the second piston

is the area of the second piston
If we rearrange the equation and we use these data, we can find the intensity of the force on the second piston:
Sound waves travel through the air, liquids, and solids. they transfer energy from the source of the sound to its surroundings
Answer:
a) W = 6.75 J and b) v = 3.87 m / s
Explanation:
a) In the problem the force is nonlinear and they ask us for work, so we must use it's definition
W = ∫ F. dx
Bold indicates vectors. In a spring the force is applied in the direction of movement, whereby the scalar product is reduced to the ordinary product
W = ∫ F dx
We replace and integrate
W = ∫ (-60 x - 18 x²) dx
W = -60 x²/2 -18 x³/3
Let's evaluate between the integration limits, lower W = 0 for x = -0.50 m, to the upper limit W = W for x = 0 m
W = -30 [0- (-0.50) 2] -6 [0 - (- 0.50) 3]
W = 7.5 - 0.75
W = 6.75 J
b) Work is equal to the variation of kinetic energy
W = ΔK
W = ΔK = ½ m v² -0
v =√ 2W/m
v = √(2 6.75/ 0.90)
v = 3.87 m / s