Physics : asked on chris1848
 27.08.2020

1.A river flowing steadily at a rate of 240 m3/s is considered for hydroelectric power generation. It is determined that a dam can be built to collect water and release it from an elevation difference of 50 m to generate power. Determine how much power can be generated from this river water after the dam is filled

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Step-by-step answer

24.06.2023, solved by verified expert
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the power that can be generated by the river is 117.6 MW

Explanation:

Given that;

Volume flow rate of river v = 240 m³/s

Height above the lake surface a h = 50 m

Amount of power can be generated from this river water after the dam is filled = ?

Now the collected water in the dam contains potential energy which is used for the power generation,

hence, total mechanical energy is due to potential energy alone.

1.A river flowing steadily at a rate of 240 m3/s, №17886394, 27.08.2020 03:32 = m(gh)

first we determine the mass flow rate of the fluid m

m = p×v

where p is density ( 1000 kg/m³

so we substitute

m = 1000kg/m³ × 240 m³/s

m = 240000 kg/s

so we plug in our values into ( 1.A river flowing steadily at a rate of 240 m3/s, №17886394, 27.08.2020 03:32 = m(gh) kJ/kg )

1.A river flowing steadily at a rate of 240 m3/s, №17886394, 27.08.2020 03:32 = 240000 × 9.8 × 50

1.A river flowing steadily at a rate of 240 m3/s, №17886394, 27.08.2020 03:32 = 117600000 W

1.A river flowing steadily at a rate of 240 m3/s, №17886394, 27.08.2020 03:32 = 117.6 MW

Therefore, the power that can be generated by the river is 117.6 MW

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Physics
Step-by-step answer
P Answered by PhD

the power that can be generated by the river is 117.6 MW

Explanation:

Given that;

Volume flow rate of river v = 240 m³/s

Height above the lake surface a h = 50 m

Amount of power can be generated from this river water after the dam is filled = ?

Now the collected water in the dam contains potential energy which is used for the power generation,

hence, total mechanical energy is due to potential energy alone.

E_{mech} = m(gh)

first we determine the mass flow rate of the fluid m

m = p×v

where p is density ( 1000 kg/m³

so we substitute

m = 1000kg/m³ × 240 m³/s

m = 240000 kg/s

so we plug in our values into ( E_{mech} = m(gh) kJ/kg )

E_{mech} = 240000 × 9.8 × 50

E_{mech} = 117600000 W

E_{mech} = 117.6 MW

Therefore, the power that can be generated by the river is 117.6 MW

Physics
Step-by-step answer
P Answered by PhD
Weight of barbell (m) = 100 kg
Uplifted to height (h) = 2m
Time taken= 1.5 s
Work done by Jordan = potential energy stored in barbell = mgh
= 100×2×9.8
= 1960J
Power = energy/time
= 1960/1.5
1306.67watts
Physics
Step-by-step answer
P Answered by PhD
Weight of jasmine (m) = 400 N
Height climbed on wall (h) = 5m
Total time taken in climbing = 5 sec
Work done in climbing the wall = rise in potential energy = mgh
= 400×9.8×51
= 19600J
Power generated by Jasmine = potential energy / time
= 19600/5
= 3920Watts
Physics
Step-by-step answer
P Answered by PhD
The horizontal and vertical motions of balloons are independent from each other.
Let vertical component of initial velocity U' horizontal component of initial velocity U"
Time of landing (t) is found with the help of vertical motion.
Since vertical component of initial velocity of balloon is zero(U' = 0)
From equation h = U't + 1/2gt^2
h = 1/2gt^2
t = √(2h/g)
t = √( 2×150/9.8)
t = 5.53 sec
Horizontal velocity = 50m/s
Horizontal range of balloon, R = U"t
= 50× 5.53
= 27.65m
So the balloon will go 27.65 metre away from the bridge
Physics
Step-by-step answer
P Answered by PhD
Initial velocity (u) = 0
Time taken = 4.5 seconds
Gravitational acceleration (g) = 9.8m/s^2
By the second equation of motion under gravity,
The distance that object fell down (h)
h = ut + (1/2)gt^2
h = 0×4.5 + (1/2)×9.8×(4.5)^2
h = 99.225 m
Physics
Step-by-step answer
P Answered by PhD
Gravitational acceleration (g) = 9.8m/s^2
Time of flight = 12 seconds
Acceleration = velocity/time
Velocity = acceleration × time
= 9.8×12
= 117.6 m/s
Physics
Step-by-step answer
P Answered by PhD
Convection occurs when the water becomes less dense and rises to the top as it warms, creating convection currents. When heater warms up the water around it, the water rises to the top and displaces cooler water, which is denser so it sinks lower.
Physics
Step-by-step answer
P Answered by PhD
Radius of curvature (r) = 24m
Velocity of car (v) = 17m/s
The centripetal acceleration (Ac) has a magnitude equal to the square of the body’s speed (v) along the curve divided by the distance (r) from the centre of the circle to the moving body; that is, Ac = v^2/r.
= 17^2/24
= 289/24
= 12.0416 m/s^2

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