In order to calculate the amount of energy required, we must first check the latent heat of vaporization of water from literature. The latent heat of vaporization of any substance is the amount of energy required per unit mass to convert that substance from a solid to a liquid. For water this is 2,260 J/g. We now use the formula:
Energy = mass * latent heat
Q = 50 * 2,260
Q = 113,000 J
113,000 Joules of heat energy are required.
        
             
        
        
        
<em>The </em><em>nucleus</em><em> has most of the atomic mass in an atom. The </em><em>nucleus</em><em> is made up of protons and neutrons.</em>
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Answer:
the stopping distance is greater than the free length of the track, the vehicle leaves the track before it can brake
Explanation:
This problem can be solved using the kinematics relations, let's start by finding the final velocity of the acceleration period
           v² = v₀² + 2 a₁ x
indicate that the initial velocity is zero
           v² = 2 a₁ x
let's calculate
           v =  
           v = 143.666 m / s
now for the second interval let's find the distance it takes to stop
           v₂² = v² - 2 a₂ x₂
in this part the final velocity is zero (v₂ = 0)
          0 = v² - 2 a₂ x₂
          x₂ = v² / 2a₂
let's calculate
          x₂ =  
          x₂ = 573 m
as the stopping distance is greater than the free length of the track, the vehicle leaves the track before it can brake
 
        
             
        
        
        
We are given the equation:
<span>x = 11t^2
</span>
We use that equation to calculate for the distance traveled.
For (a)
At t=2.20 sec,    
                             x =53.24 meters
At t=2.95 sec,   
                             x =95.73 meters
Velocity = (95.73 meters - 53.24<span> meters) / (2.95 s - 2.20 s )  = 56.65 m/s
</span>For (b)
At t=2.20 sec,    
                             x =53.24 meters
At t=2.40 sec,   
                             x =63.36 meters
Velocity = (63.36 meters - 53.24<span> meters) / (2.40 s - 2.20 s )  = 50.6 m/s</span>
        
             
        
        
        
Average speed = (total distance covered) / (time to cover the distance)
-- Traveling at 40 mph for 1 hour, the distance covered is 40 miles.
-- Traveling at 60 mph for 1 hour, the distance covered is 60 miles.
-- Total distance covered = (40 miles) + (60 miles) = 100 miles
-- Total time = (1 hour) + (1 hour)  =  2 hours
-- Average speed = (100 miles) / (2 hours)
<em>Average speed = 50 miles per hour</em>