There are several information's already given in the question. Let us write them down first.
Radius of the tank = 3 feet
Height of the tank = 10 feet
Value of pi = 3.14
Then
Volume of the cylindrical tank = 3.14 * (3)^2 * 10
= 3.14 * 9 * 10
= 282.6 ft^3
Now
Heating capacity of 1 cubic foot of natural gas = 1030 BTU's
Then
Heating capacity of 282.6 cubic foot of natural gas = 1030 * 282.6
= 291078 BTU's
I hope the procedure is clear enough for you to understand.
The acceleration of the leaf as it falls is zero.
Explanation:
There are to forces acting on the leaf;
(a) force of gravity acting downwards
(b)Air resistance acting upwards
At some point force of gravity acting downwards balances the force of air resistance acting upwards and thus the net force on the leaf is zero.As the net force on the leaf is zero, the acceleration of the leaf =0.
Because of this zero net force, the leaf will acquire a constant velocity after some time called as terminal velocity and will continue to move with this constant velocity.
Answer:
0.4752 oz.
Explanation:
Length = 1000 ft
Converting ft to inches,
12 in = 1 ft
1000 ft = 1000 * 12
= 12000 in
0.05082 in = 0.12908 cm
Mass = 19.8 lb
Converting lb to oz,
1 ounce = 0.0625 lb
1 lb = 1/0.0625 oz
19.8 lb = 1/0.0625 * 19.8
= 316.8 ounce
Since, 12000 in of copper wire weighs 316.8 ounces.
Therefore, 1 in will weigh = 316.8/12000
= 0.0264 oz
18 in = 0.0264 * 18
= 0.4752 oz.
Hi
There is a basic difference<span>, because </span>mass<span> is the actual amount of material contained in a body and is measured in kg, gm, etc. Whereas </span>weight<span> is the force exerted by the gravity on that object mg. Note that </span>mass<span> is independent of everything but </span>weight<span> is different on the earth, moon, etc.</span>
The equation to be used is for the rectilinear motion at constant acceleration:
x = v₀t + 0.5at²
a = (v-v₀)/t
where
x is distance
v and v₀ is the final and initial velocity
t is time
a is acceleration
Because the acceleration is decelerating, that would be reported as -7.5 m/s². Substituting,
-7.5 = (0 - v₀)/t
v₀ = 7.5 t --> eqn 1
x = v₀t + 0.5at²
60 = (7.5t)(t) + 0.5(-7.5)(t²)
Solving for t,
t = 4s
Thus,
v₀ = 7.5 m/s² * 4s
v₀ = 30 m/s