Answer:
The cup with 0.5L
Explanation:
To know what amount of water you take into account the specific heat of the water. The specific heat of water is:

Thus, 4186 J of energy are needed to icrease the temperature of 1 kg water in 1°C. Then, more grams of water will need more energy.
You have that one cup has 0.5 L and the other one has 750mL = 0.75L
The second cup of water will need more heat because the amount of water contained in the second cup is greater than in the first cup with 0.5L
The thermal energy keeps these two changing their temperature over time.
The surrounding temperature (environment) clearly effects the cold water AND the boiling water.
Eventually, both would reach an equilibrium in temperature. <span />
Answer:
Part a)
Purple car = Light Blue car > (Red car = Yellow Car = Blue car) > Green Car
Part b)
Purple car = Light Blue car > (Red car = Yellow Car = Blue car) > Green Car
Part c)
Purple car = Light Blue car > (Red car = Yellow Car = Blue car) > Green Car
Explanation:
Red car
mass = 1000 kg
speed = 10 m/s
Yellow car
mass = 2000 kg
speed = 5 m/s
Blue car
mass = 500 kg
speed = 20 m/s
Light Blue car
mass = 1000 kg
speed = 20 m/s
Green car
mass = 500 kg
speed = 10 m/s
Purple car
mass = 4000 kg
speed = 5 m/s
Part a)
Now we know that momentum of each car is product of mass and velocity
so we will have
Red Car



Yellow Car



Blue Car



Light Blue Car



Green Car



Purple Car



So the momentum is given as
Purple car = Light Blue car > (Red car = Yellow Car = Blue car) > Green Car
Part b)
Impulse is given as change in momentum so here we can say that final momentum of all the cars will be zero as they all stops and hence the impulse is same as initial momentum of the car
so the order of impulse from largest to least is given as
Purple car = Light Blue car > (Red car = Yellow Car = Blue car) > Green Car
Part c)
Force is defined as rate of change in momentum
Now let say all cars will stop in same time interval
so we will have

so we will have
force is in same order as that of impulse
so it is given as
Purple car = Light Blue car > (Red car = Yellow Car = Blue car) > Green Car
This would be called a Joule. The formula for energy is <span>P.E. = mgh (otherwise known as the gravitational force formula, which is energy.) M is the mass in kilograms, and G is the acceleration due to gravity, which is actually (9.</span>8 m / s2<span> at the surface of the earth.) I hope this helps! ~Mia</span>