Answer:
The mass is 
Explanation:
From the question we are told that
The initial temperature is 
The final temperature is 
Generally the maximum heat produced by 1 Liter of natural gas is
So the amount of heat produced by 100 L is

=> 
Generally given that the efficiency is 
Then actual heat received by the water is

=> 
=>
Converting to kcal
=> 
Generally the specific heat of water is

Generally the heat received by the water is mathematically represented as

=> 
=> 
All Offsprings will be round because it comes out as dominant evrytime and it has 0 ressesives. Hope this helped ;)
Answer:

Explanation:
For answer this we will use the law of the conservation of the angular momentum.

so:

where
is the moment of inertia of the merry-go-round,
is the initial angular velocity of the merry-go-round,
is the moment of inertia of the merry-go-round and the child together and
is the final angular velocity.
First, we will find the moment of inertia of the merry-go-round using:
I = 
I = 
I = 359.375 kg*m^2
Where
is the mass and R is the radio of the merry-go-round
Second, we will change the initial angular velocity to rad/s as:
W = 0.520*2
rad/s
W = 3.2672 rad/s
Third, we will find the moment of inertia of both after the collision:



Finally we replace all the data:

Solving for
:
