The first thing you should know for this case is that work is defined as the product of force by the distance traveled in the direction of force.
We have then:
W = Fd
The distance varies, so we must integrate:
from 0 to 20:
W = ∫F (x) dx
W = ∫32xdx
W = 32∫xdx
W = 32 (x ^ 2/2) = (16) (20 ^ 2) = 6400 ft * lbs
answer:
6400 ft * lbs is work done pulling the rope up 20 ft
Answer:
Explanation:
a ) wave length of waves in water
= velocity / frequency
= 1482 / (18 x 1000)
= .0823 m
= 8.23 cm
b ) Applying Doppler's effect relation
frequency of reflected wave
= 18000 [ 1482 / (1482 - 4.95 ) ]
= 18000 x 1.003385
= 18061
Difference in frequency= 61 Hz
Centripetal force needed to move mass 'm' in a circle with radius 'r' at speed 'v' is
F = m · v² / r
F = (85 kg) ·(15 m/s)² / (20 m)
F = (85kg · 225m²) / (20 m·s²)
F = (85 · 225 / 20) (kg·m² / m·s²)
F = 956.25 kg·m/s²
F = 956.25 Newtons
Answer:
current = 0.364 A
Explanation:
Resistance = Voltage / Current
33 ohms = 12 Volt / current
current = 12 / 33
current = 0.364 A
