Answer:
The P.E of the pendulum is, P.E = 15 J
Explanation:
Given data,
The length of the pendulum, l = 3 m
The maximum angular displacement from vertical, Ф = 10°
The K.E at its lowest position is, K.E = 20 J
The total mechanical energy of the system is equal to the sum of its K.E and P.E
E = K.E + P.E
At the lowest position P.E = 0
Therefore, The total mechanical energy,
E = 20 J
When the K.E of the pendulum is K.E = 5 J
E = K.E + P.E
P.E = E - K.E
= 20 - 5
= 15 J
Hence, the P.E of the pendulum is, P.E = 15 J
A conclusion is, in some ways, like your introduction. You restate your thesis and summarize your main points of evidence for the reader.You can usually do this in one paragraph.
I think the answer is c.if current decreases and everything else remains constant,then power will increase
Answer:
a) the final velocity is 35.75 ft/s
b) The final elevation is 45 ft
Explanation:
Given the data in the question;
Weight of object; W = 100 lbf
Change in kinetic energy; ΔE = 500 ft-lb
so
m - m = ΔE
m - m = 500
multiply both sides by 2
m - m = 1000
m( - ) = 1000
- = 1000/m
- = (1000)(g) / W
we know that, acceleration due to gravity g = 9.8 m/s² = 32.18 ft/s²
so we substitute
- = (1000)(32.18) / 100
- = (1000)(32.18) / 100
- = 32180 / 100
- = 321.8
since The initial velocity is given to be 40 ft/s;
(40)² - = 321.8
1600 - = 321.8
= 1600 - 321.8
= 1278.2
= √1278.2
= 35.75 ft/s
Therefore, the final velocity is 35.75 ft/s
b)
we know that;
change in potential energy is;
ΔP.E = mg( h - h )
given that; increase in potential energy; ΔP.E = 1500 ft-lbf
and mg = Weight = 100 lbf
we substitute
1500 = 100( h - h )
h - h = 1500 / 100
h - h = 15 ft
given that, elevation of the object; h = 30 ft
h - 30 ft = 15 ft
h = 15 ft + 30 ft
h = 45 ft
Therefore, The final elevation is 45 ft
<u>Answer</u>
2.65 quarts
<u>Explanation</u>
1 quart = 0.943 liters
To find the how many quarts are there in 2.50 litres we divide the 2.50 litres with 0.943 litres.
Number of quarts = 2.50/0.943
= 2.651113468
To the nearest hundredths the answer = 2.65 quarts