MATHPHYS HELP
PLS PHYSICS IS MUCH HARDER NOT BEING IN SCHOOL

(001) 4. Heating 100 g of water from 10°C to 50°C

(002) 4.32 km

(003) 5. B only

(004) 347°C

(005) 73.5 °C

(006) 4.9 g

(007) 3. Adding the same amount of heat to two different objects will produce the same increase in temperature.

Explanation:

(001) Heat is the product of mass, specific heat capacity, and temperature change.

q = mCΔT

The specific heat of water is 1 cal/g/°C.  So the heat required for each is:

1. q = (1000 g) (1 cal/g/°C) (12°C − 10°C) = 2000 cal

2. q = (10 g) (1 cal/g/°C) (40°C − 10°C) = 300 cal

3. q = (1 g) (1 cal/g/°C) (80°C − 10°C) = 70 cal

4. q = (100 g) (1 cal/g/°C) (50°C − 10°C) = 4000 cal

(002) A "food Calorie" is 1 kcal = 1000 cal, or 4186 Joules.

Work = change in energy

W = ΔPE

W = mgΔh

758 kcal (4186 J/kcal) = (74.9 kg) (9.8 m/s²) h

h = 4320 m

h = 4.32 km

(003) Heat flows from higher temperature to lower temperature.

It's important to note that an object can have more thermal energy and still have a lower temperature.  For example, the ocean has low temperature but a very large mass, so it has more thermal energy than a cup of coffee, which has higher temperature but a much smaller mass.

(004) Kinetic energy = heat

KE = q

½ mv² = mCΔT

½ v² = CΔT

ΔT = v² / (2C)

ΔT = (298 m/s)² / (2 × 128 J/kg/°C)

ΔT = 347°C

(005) Heat gained by the glass = heat lost by water

m₁C₁ΔT₁ = -m₂C₂ΔT₂

(300 g) (0.2 cal/g/°C) (T − 32°C) = -(199 g) (1 cal/g/°C) (T − 86°C)

(60 cal/°C) (T − 32°C) = -(199 cal/°C) (T − 86°C)

(60 cal/°C) T − 1920 cal = -(199 cal/°C) T + 17114 cal

(259 cal/°C) T = 19034 cal

T = 73.5 °C

(006) Heat gained by ice = heat lost by water

m₁C₁ΔT₁ = m₂L₂

(49 g) (0.5 cal/g/°C) (0°C − (-16°C)) = m (80 cal/g)

392 cal = m (80 cal/g)

m = 4.9 g

(007) Heat is the product of mass, specific heat capacity, and temperature change.

q = mCΔT

So if two objects have different masses, or different heat capacities, then adding the same amount of heat will produce different increases in temperature.

Statement 3 is false.

i dont think you are wrong for wanting to get even with someone who did you wrong.

(i'm an eye for an eye kind of person) but if this person hurt you in a sexual way, i dont suggest doing anything to him. he should be taken to the proper authorities, you could go to jail depending on what you do. if it was something small like your sibling took your spot on the couch, than yea, i would get even with him by taking one of his favorite snacks lol. but i dont suggest you doing anything illegal.