Answer:
Explanation:
Diameter of pool = 12 m
radius of pool, r = 6 m
Total height raised, h = 3 + 2.5 = 5.5 m
density of water, d = 1000 kg/m³
Mass of water, m = Volume of water x density
m = πr²h x d
m = 3.14 x 6 x 6 x 5.5 x 1000
m = 113040 kg
Work = m x g x h
W = 113040 x 9.8 x 5.5
W = 6092856 J
Answer:
It has potential energy
PE = 15450.75 J
Explanation:
we know its potential energy because the carriage is not moving, although it can
PE = mgh
in this case, m is 75, h is 21, and g is always 9.81
plug these in: PE = (75) (21) (9.81)
your answer: PE = 15450.75 J
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Answer:

Explanation:
We want to find the initial speed of the ball.
To do this, we have to apply the formula for the time of flight of a projectile:

where θ = angle of flight
g = acceleration due to gravity
v0 = initial speed
Therefore, substituting the given values into the formula, we have that:

⇒ 2 ×
×0.8910= 9.8 × 4.2
⇒

That is the initial speed of the ball.
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Answer:
efficiency = 5.4%
Explanation:
Efficiency of heat engine is given as

now we will have

so we will have

now we know that

so we have



so efficiency is 5.4%
The mass of the object is 0.0076 kg
Explanation:
The frequency of a mass-spring system (simple harmonic motion) is given by

where
f is the frequency
k is the spring constant
m is the mass
For the mass-spring system in this problem, we know:
k = 30 N/m is the spring constant
f = 10 Hz is the frequency
Solving the equation for m, we find the mass:

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