Answer:
About 7.67 m/s.
Explanation:
Mechanical energy is always conserved. Hence:

Where <em>U</em> is potential energy and <em>K</em> is kinetic energy.
Let the bottom of the slide be where potential energy equals zero. As a result, the final potential energy is zero. Additionally, because the child starts from rest, the initial kinetic energy is zero. Thus:

Substitute and solve for final velocity:

In conclusion, the child's speed at the bottom of the slide is about 7.67 m/s.
Answer:
7.8 N
Explanation:
Applying,
I = Ft................. Eqaution 1
Where I = Impulse on the egg test dummy, F = Force on the egg test dummy during the time interval, t = time interval
make F the subject of the equation
F = I/t.................. Equation 2
From the question,
Given: T = -0.39 N.s, t = 0.050 s
Substitute these vales into equation 2
F = -0.39/0.050
F = -7.8 N
Hence the force that act on the egg test dummy is 7.8 N
Answer:
The value of gauge pressure at outlet = -38557.224 pascal
Explanation:
Apply Bernoulli' s Equation
+
+
=
+
+
--------------(1)
Where
= Gauge pressure at inlet = 3.70105 pascal
= velocity at inlet = 2.4 
= Gauge pressure at outlet = we have to calculate
= velocity at outlet = 3.5 
= 3.6 m
Put all the values in equation (1) we get,
⇒
+
=
+
+ 3.6
⇒ 0.294 =
+ 0.6244 + 3.6
⇒
= 0.294 - 0.6244 - 3.6
⇒
= - 3.9304
⇒
= - 38557.224 pascal
This is the value of gauge pressure at outlet.
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