It’s blurry the pic
But I think that is the second one
Answer:
14185.5J
Explanation:
Thermal energy can be calculated using the formula
Q = mcT where
Q is the amount of thermal energy in <em>J</em>
m is the mass in kg
c is the specific heat capacity in <em>J/kg/C</em>
T is the change in Temperature in <em>C</em>.
Hence by applying this formula, we get:
Q = (0.175)(4200)(24.3 - 5.00)
<u>Q = 14185.5 J</u>
Answer:
the required solution is; x(t) = 0.675<em>sin</em>( 2.222t )
Explanation:
Given the data in the question;
Using both Newton's and Hooke's law;
m + k = 0, (0) = 0, (0) = 1.5
given that mass m = 9 kg
= 1.8 m
k is F / x
hence
k = F / x
given that, F = 80 N
we substitute
k = 80 / 1.8
k = 44.44
so
m + k = 0,
we input
9 + 44.44 = 0,
+ 4.9377 = 0
so auxiliary equation is,
r² + 4.9377 = 0
r² = -4.9377
r = √-4.9377
r = ±2.222i
hence, the solution will be;
x(t) = A×cos( 2.222t ) + B×sin( 2.222t )
⇒ (t) = -2.222Asin( 2.222t ) + 2.222Bcos( 2.222t )
using initial conditions
x(0) = 0
⇒ 0 = A
(t) = 1.5
1.5 = 2.222B
so
B = 1.5 / 2.222 = 0.675
Hence, the required solution is; x(t) = 0.675<em>sin</em>( 2.222t )
Answer:
1) If a cell or battery is used, the key in the circuit should be left open so as not to drain the battery or cell.
2) Also, leaving the key closed causes current to flow through the circuit, which also causes the temperature of the circuit to increase. Since the resistance of most metals increases with an increase in temperature, the resistance of the circuit will increase, which will then affect the integrity of the whole experiment.