Explanation:
(a)   First, we will calculate the number of moles as follows.
        No. of moles = 
Molar mass of helium is 4 g/mol and mass is given as 0.1 kg or 100 g (as 1 kg = 1000 g). 
Putting the given values into the above formula as follows.
        No. of moles = 
                              = 
   
                              = 25 mol
According to the ideal gas equation,
                            PV = nRT
or,       
           
           
 = 336.17 K
Hence, temperature change will be 336.17 K.
(b)   The total amount of heat required for this process will be calculated as follows.
                    q = 
                       = 
                       = 174573.081 J/K
or,                  = 174.57 kJ/K        (as 1 kJ = 1000 J)
Therefore, the amount of total heat required is 174.57 kJ/K.
 
        
             
        
        
        
Answer:
30-N 
Explanation:
Because they are both acting on an object going opposite directions, then you simply subtract the 15 from 45 as 45N of force is stronger than 15N of force.
 
        
             
        
        
        
His weight on the moon would be less due to gravity and i also believe during your time under little gravity your spine decompresses so you get taller <span />
        
                    
             
        
        
        
Answer:
r = 0.5 m
Explanation:
First we find the angular speed of the ball by using its period:
ω = θ/t
For the time period:
ω = angular speed = ?
θ = angular displacement = 2π rad
t = time period = 0.5 s
Therefore,
ω = 2π rad/0.5 s
ω = 12.56 rad/s
Now, for the radius:
v = rω
r = v/ω
where,
v = linear speed = 6.29 m/s
r = radius = ?
r = (6.29 m/s)/(12.56 rad/s)
<u>r = 0.5 m</u>