Answer:
A. Kindly find attached free body diagram for your reference (smiles I guess I will make a terrible artist) 
B. The collision is inelastic because both the husband and the wife moved together with same velocity as he grabs her on the waist 
C. The general equation for conservation of momentum in terms of m 1, v 1, m 2, v 2, and final velocity vf
Say mass of husband is m1
Mass of the wife is m2
Velocity of the husband is v1
Velocity of the wife is v2
According to the conservation of momentum principle momentum before impact m1v1+m2v2 =momentum after impact Common velocity after impact (m1+m2)vf
The momentum equation is 
 m1v1+m2v2= (m1+m2)vf
D. To solve for vf we need to make it subject of formula 
vf= {(m1v1) +(m2v2)}/(m1+m2)
E. Substituting our given data 
vf= 
 {(1570*58)+(2550*54)}/(1570+2558)
vf=91060+137700/4120
vf=228760/4120
vf=55.52m/s
Their speed after collision is 55.52m/s
 
        
             
        
        
        
Answer:
 0.0133A
Explanation:
Since we have two sections, for the Inductor region there would be a current  . In the case of resistance 2, it will cross a current
. In the case of resistance 2, it will cross a current  
 
Defined this we proceed to obtain our equations,
For  ,
,


For  ,
,


The current in the entire battery is equivalent to,


Our values are,




Replacing in the current for t= 0.4m/s



 
        
             
        
        
        
Answer:

Explanation:
First of all, we need to calculate the total energy supplied to the calorimeter.
We know that:
V = 3.6 V is the voltage applied
I = 2.6 A is the current
So, the power delivered is 

Then, this power is delivered for a time of
t = 350 s
Therefore, the energy supplied is

Finally, the change in temperature of an object is related to the energy supplied by 

where in this problem:
E = 3276 J is the energy supplied
C is the heat capacity of the object
 is the change in temperature
 is the change in temperature
Solving for C, we find:

 
        
             
        
        
        
The period of the pendulum is 8.2 s
Explanation:
The period of a simple pendulum is given by the equation:

where
L is the length of the pendulum
g is the acceleration of gravity
T is the period
We notice that the period of a pendulum does not depend at all on its mass, but only on its length.
For the pendulum in this problem, we have
L = 16.8 m
and 
 (acceleration of gravity)
 (acceleration of gravity)
Therefore the period of this pendulum is

#LearnWithBrainly
 
        
             
        
        
        
Answer:
the hotter it gets, the liquid(mercury), expands more and more, and will rise up the tube to the correct line to read the tempature