4
1 answer:
Answer:
50 m/s
Explanation:
The motion of the roller coaster car parameters are;
The initial speed of the roller coaster, v = 2 m/s
The distance to reach the bottom, Δd = 200 meter
The time it takes to reach the bottom, Δt = 4 seconds
The speed at the bottom of the tracks = 22 m/s
The average speed, = Δd/Δt
∴ = (200 m)/(4 s) = 50 m/s
The average speed of the roller coaster ride over the 200 m drop, = 50 m/s
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NB: The diagram of the pulley system is not shown but the information provided is sufficient to answer the question
Answer:
Power = 2702.56 W
Explanation:
Let the power consumed be P
Energy expended = E = mgh
height, h = 5 m
E = 80 * 9.8 * 5
E = 3920 J
To calculate the time, t
From F = ma
F = 900 N
900 = 80 a
a = 900/80
a = 11.25 m/s²
From the equation of motion,
The drill head starts from rest, u = 0 m/s
Power, P = E/t
P = 3920/0.0.943
P = 4157.79 W
But Efficiency, E = 0.65
P = 0.65 * 4157.79
Power = 2702.56 W