Answer:
4 times
Explanation:
Given:
diameter of the input piston, 
diameter of the output piston, 
In such mechanical arrangements the fluid acts as an incompressible link and the pressure remains uniform throughout the fluid bulk.
Then, by the Pascal's law:

where:
are the input and the output forces respectively.
are the input and the output area of pistons respectively.




Answer:
532.0725 m
102.17270893 m/s
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
g = Acceleration due to gravity = 9.81 m/s² = g
H = Height of cliff
Distance traveled in 3 seconds

Distance traveled by sound = 2H-44.145 m

The height of the cliff is 532.0725 m

Her speed just before she hits the ground is 102.17270893 m/s
Answer:
Science is the pursuit and application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence. Scientific methodology includes the following: ... Evidence. Experiment and/or observation as benchmarks for testing hypotheses.
Answer:
Mass of the car is 1576 kg.
Explanation:
Let the mass of the car be
kg.
Given:
Initial velocity of the car is, 
As the car stops, final velocity of the car is, 
Change in momentum is, 
Now, we know that, momentum is given as the product of mass and velocity.
So, change in momentum is given as:

Therefore, the mass of the car is 1576 kg.
Answer:
a) 520m
b) 10.30 s
c) 100,95 m/s
Explanation:
a) According the given information, the rocket suddenly stops when it reach the height of 520m, because the engines fail, and then it begins the free fall.
This means the maximum height this rocket reached before falling was 520 m.
b) As we are dealing with constant acceleration (due gravity)
we can use the following formula:
(1)
Where:
is the initial height of the rocket (at the exact moment in which it stops due engines fail)
is the final height of the rocket (when it finally hits the launch pad)
is the initial velocity of the rocket (at the exact moment in which it stops the velocity is zero and then it begins to fall)
is the acceleration due gravity
is the time it takes to the rocket to hit the launch pad
Clearing
:
(2)
(3)
(4)
(5) This is the time
c) Now we need to find the final velocity
for this rocket, and the following equation will be perfect to find it:
(6)
(7)
(8) This is the final velocity of the rocket. Note the negative sign indicates its direction is downwards (to the launch pad)