Answer:
the spring compressed is 0.1878 m
Explanation:
Given data
mass = 3 kg
spring constant k = 750 N/m
vertical distance h = 0.45
to find out
How far is the spring compressed
solution
we will apply here law of mass of conservation
i.e
gravitational potential energy loss = gain of eastic potential energy of spring
so we say m×g×h = 1/2× k × e²
so e² = 2×m×g×h / k
so
we put all value here
e² = 2×m×g×h / k
e² = 2×3×9.81×0.45 / 750
e² = 0.0353
e = 0.1878 m
so the spring compressed is 0.1878 m
Explanation:
Given that,
Diameter = 10 cm
Distance = 2 m
Speed 
Speed 
Pressure in main pipe
(I). We need to calculate the diameter
Using equation of continuity





(II). We need to calculate the pressure the gauge pressure
Using Bernoulli equation




(III). If it is possible to carry water to a faucet 17 m above ground,
Using Bernoulli equation


Here, 
Put the value in the equation


Hence, This is required solution.
To calculate the acceleration of the truck, we use the equation of motion

Here, v is final velocity of the truck, u is initial velocity of truck, a is acceleration of the truck and t is time taken.
Given, u = 6 m/s, v = 14 m/s and t = 4 s.
Substituting these values in above equation, we get
.
Thus, the truck acceleration is 