Practice Thermal Energy in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The total kinetic energy of all particles (atoms and molecules) in an object due to their random motion.

The energy of jiggling atoms and molecules—what we experience as temperature.

Showing a random 20 of 50 problems.

Example 1

medium
Mixing 1 kg of water at 80°C with 1 kg at 20°C (no losses), what is the final temperature?

Example 2

hard
A 1200 kg1200 \text{ kg} car traveling at 30 m/s30 \text{ m/s} brakes to a stop. If all kinetic energy is converted to thermal energy in the brakes (4 kg4 \text{ kg} of steel, c=500 J/(kg\cdotp°C)c = 500 \text{ J/(kg·°C)}), by how much do the brakes heat up?

Example 3

medium
How much heat raises 0.25 kg of water from 20°C to 80°C? (water c=4200 J/(kg\cdotp°C)c = 4200 \text{ J/(kg·°C)})

Example 4

challenge
0.2 kg of metal at 150°C (c=500c = 500) is placed in 0.5 kg water at 20°C (c=4200c = 4200). Find the equilibrium temperature (no losses).

Example 5

easy
Heat 0.5 kg of aluminium (c=900 J/(kg\cdotp°C)c = 900 \text{ J/(kg·°C)}) by 20°C. Find the heat required.

Example 6

easy
True or false: heat and thermal energy are the same thing.

Example 7

easy
True or false: thermal energy is the total kinetic energy of all particles in an object due to random motion.

Example 8

easy
Two identical copper blocks are at 50°C and 80°C. Which has more thermal energy?

Example 9

easy
0.2 kg0.2 \text{ kg} of iron (c=450c = 450) is heated by 30°C30°\text{C}. Find the heat required.

Example 10

easy
How much heat is needed to raise 2 kg of water by 10°C? (water c=4200 J/(kg\cdotp°C)c = 4200 \text{ J/(kg·°C)})

Example 11

medium
An 800 W800 \text{ W} kettle heats 1.0 kg1.0 \text{ kg} of water (c=4200c = 4200) from 20°C20°\text{C} to 100°C100°\text{C}. Ignoring losses, find the time required.

Example 12

medium
0.1 kg0.1 \text{ kg} of ice at 0°C0°\text{C} is added to 0.5 kg0.5 \text{ kg} of water at 40°C40°\text{C}. Latent heat of fusion of ice Lf=334000 J/kgL_f = 334000 \text{ J/kg}; water c=4200c = 4200. Find the final temperature (assume all ice melts).

Example 13

hard
200 g200 \text{ g} of water at 90°C90°\text{C} is poured into a 300 g300 \text{ g} glass cup (c=840c = 840) at 20°C20°\text{C} (water c=4200c = 4200). Find the equilibrium temperature, ignoring losses.

Example 14

medium
Equal heat is given to 1 kg1 \text{ kg} water (c=4200c = 4200), causing a 10°C10°\text{C} rise, and to 1 kg1 \text{ kg} oil (c=2100c = 2100). Find the oil's temperature rise.

Example 15

easy
0.5 kg0.5 \text{ kg} of copper (c=385c = 385) cools by 40°C40°\text{C}. Find the heat released.

Example 16

easy
A gas is heated and its particles move faster. What happened to its thermal energy?

Example 17

challenge
Water at the base of a 50 m50 \text{ m} waterfall converts all gravitational PE into thermal energy of the same water. Find the temperature rise. (g=9.8 m/s2g = 9.8 \text{ m/s}^2, c=4200c = 4200)

Example 18

easy
A substance loses 5000 J of thermal energy. Did its particles speed up or slow down on average?

Example 19

easy
If 3 kg of water cools by 5°C, how much thermal energy does it release? (water c=4200 J/(kg\cdotp°C)c = 4200 \text{ J/(kg·°C)})

Example 20

challenge
A 0.05 kg lead bullet (c=130c = 130) at 30°C hits a wall at 200 m/s and stops. If half its KE becomes thermal energy in the bullet, find its temperature rise.