Answer:
2.5A , 22500 JOULE
Explanation:
Resistance (R)= 6 ohm
Voltage (V) = 15 volt
a)
Current (I) = ?
From ohm's law,
V=IR
15 = 6*I
I = 2.5 A
b)
time(t) = 10min = 600 second
heat energy (Q) = ?
from Joule's law of heating,
Q = I²*R*t
Q = 2.5² *6*600
Q = 22500 Joule
hence, heat energy produced is 22500 joule.
Answer:
a) v= 2.1 m/s
b) ω = 0.807 rad/s
Explanation
Conceptual analysis :
The dog and the merry-go- round describes a circular motion, then, the following formulas apply :
Formula (1)
v = ω *r Formula (2)
Where:
: Centripetal acceleration(m/s²)
v: linear speed or tangential (m/s)
r : radius of the circle (m)
ω : angular speed ( rad/s)
Data
r= 2.6 m
= 1.7 m/s²
Problem develpment
a) We replace data in the formula 1 to calculate the dog's linear speed(v):
v= 2.1 m/s
b)We replace data in the formula 2 to calculate the angular speed of the merry-go- round (ω).
v = ω *r
2.1 = ω *2.6
ω = 2.1/2.6
ω = 0.807 rad/s
Complete Question
A 12.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of
40° 16' with the horizontal.
Answer:
Explanation:
From the question we are told that:
Length of ladder
Angle
Generally the Trigonometric equation for distance d it goes up the wall is mathematically given by