Energy, Heat & Thermal Design — Chapter Practice, Grade 6
How do energy transfers explain cooling and a feasible thermal design? Which feasible sleeve slows cooling under the matched model, and what should be redesigned?
Problem 1
Answer and explanation
No. It changes the energy associated with motion, not the amount of matter in the car.
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Problem 2
Answer and explanation
Potential energy comparisons depend on relative positions and the chosen reference; a height number alone is incomplete.
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Problem 3
Answer and explanation
No. Light transfers energy by radiation; battery matter and emitted radiation are different parts of the explanation.
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Problem 4
Answer and explanation
The explanation must connect the stages and observable changes, including transfers to surroundings rather than merely naming categories.
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Problem 5
Answer and explanation
The modeled 100 J transfers into 25 J light and 75 J thermal pathways. Mass in grams describes matter, while a temperature reading in °C is not an energy total. The unchanged casing mass does not mean no energy transfer occurred, and this illustrative partition is not a measurement of every flashlight.
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Problem 6
Answer and explanation
Gravitational potential energy relative to a common reference. The higher book has greater potential energy in the book–Earth system under matched mass and gravity conditions.
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Problem 7
- An energy form can be identified without describing any process or system.
- Temperature in degrees Celsius is an amount of energy in joules.
- kinetic energy: Energy associated with motion.
- One illustrative result establishes every real condition and needs no further evidence.
Answer and explanation
kinetic energy: Energy associated with motion.
Energy associated with motion. The modeled 100 J transfers into 25 J light and 75 J thermal pathways. Mass in grams describes matter, while a temperature reading in °C is not an energy total. The unchanged casing mass does not mean no energy transfer occurred, and this illustrative partition is not a measurement of every flashlight.
Problem 8
- One illustrative result establishes every real condition and needs no further evidence.
- Temperature in degrees Celsius is an amount of energy in joules.
- An energy form can be identified without describing any process or system.
- potential energy: Energy associated with relative position or configuration in an interacting system.
Answer and explanation
potential energy: Energy associated with relative position or configuration in an interacting system.
Energy associated with relative position or configuration in an interacting system. The modeled 100 J transfers into 25 J light and 75 J thermal pathways. Mass in grams describes matter, while a temperature reading in °C is not an energy total. The unchanged casing mass does not mean no energy transfer occurred, and this illustrative partition is not a measurement of every flashlight.
Problem 9
Answer and explanation
No. The energy formerly associated with the motion is transferred or redistributed into other changes and surroundings.
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Problem 10
Answer and explanation
Energy crosses its boundary to the surroundings. The total account must include that transfer or a larger system.
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Problem 11
Answer and explanation
Yes. Usefulness depends on the intended function; conservation is not a judgment about whether the output is desirable.
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Problem 12
Answer and explanation
No. Check omitted pathways, stored changes, and measurement uncertainty. The record is incomplete under its stated account.
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Problem 13
Answer and explanation
A gives 24 ÷ 120 = 20% as visible light and 96 J in thermal pathways. B gives 30% as visible light and 84 J in thermal pathways. B has a larger modeled light fraction for this purpose, but brightness at the page, price, lifetime, and actual measurements would also matter. Both conserve the stated input energy.
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Problem 14
Answer and explanation
Include the bicycle, contact surfaces, and surrounding air, or list their energy exchanges. Reduced kinetic energy can become thermal changes and sound without being destroyed.
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Problem 15
- One illustrative result establishes every real condition and needs no further evidence.
- Energy that is less useful has been destroyed.
- Conservation means every individual object must keep the same energy.
- conservation of energy: Energy remains accounted for across a complete system and its transfers.
Answer and explanation
conservation of energy: Energy remains accounted for across a complete system and its transfers.
Energy remains accounted for across a complete system and its transfers. A gives 24 ÷ 120 = 20% as visible light and 96 J in thermal pathways. B gives 30% as visible light and 84 J in thermal pathways. B has a larger modeled light fraction for this purpose, but brightness at the page, price, lifetime, and actual measurements would also matter. Both conserve the stated input energy.
Problem 16
- dissipation: Energy spreading into less readily useful forms or surroundings for the chosen purpose.
- Energy that is less useful has been destroyed.
- Conservation means every individual object must keep the same energy.
- One illustrative result establishes every real condition and needs no further evidence.
Answer and explanation
dissipation: Energy spreading into less readily useful forms or surroundings for the chosen purpose.
Energy spreading into less readily useful forms or surroundings for the chosen purpose. A gives 24 ÷ 120 = 20% as visible light and 96 J in thermal pathways. B gives 30% as visible light and 84 J in thermal pathways. B has a larger modeled light fraction for this purpose, but brightness at the page, price, lifetime, and actual measurements would also matter. Both conserve the stated input energy.
Problem 17
Answer and explanation
They measure different quantities: temperature and energy. An additional physical model is needed to connect them numerically.
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Problem 18
Answer and explanation
No. Amount and material matter. The comparison separates average particle behavior from the whole sample’s energy account.
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Problem 19
Answer and explanation
Net energy transfer from the warmer surroundings tends to raise its temperature toward room conditions.
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Problem 20
Answer and explanation
No. Microscopic motion continues; equilibrium concerns the absence of a net temperature-driven transfer between the compared systems.
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Problem 21
Answer and explanation
Both cups are warmer than the room, so net heat transfer tends outward and they cool. A has the higher temperature, while B contains more water. Without a stated energy model and reference, these readings alone do not justify a complete numerical total-energy comparison. Degrees Celsius cannot simply be relabeled as joules.
Compare the scientific meaning and reasoning after an independent attempt. A different accurate supported response can be correct; human review is required.
Problem 22
Answer and explanation
No. Zero on the Celsius scale is not zero microscopic motion. The reading describes a temperature under that scale, not the absence of energy.
Compare the scientific meaning and reasoning after an independent attempt. A different accurate supported response can be correct; human review is required.
Problem 23
- temperature: A property related to average microscopic particle motion in a simple material model.
- Heat is a material substance stored inside an object.
- The hotter sample must always have the greater total thermal energy.
- One illustrative result establishes every real condition and needs no further evidence.
Answer and explanation
temperature: A property related to average microscopic particle motion in a simple material model.
A property related to average microscopic particle motion in a simple material model. Both cups are warmer than the room, so net heat transfer tends outward and they cool. A has the higher temperature, while B contains more water. Without a stated energy model and reference, these readings alone do not justify a complete numerical total-energy comparison. Degrees Celsius cannot simply be relabeled as joules.
Problem 24
- Heat is a material substance stored inside an object.
- heat: Energy transfer caused by a temperature difference.
- The hotter sample must always have the greater total thermal energy.
- One illustrative result establishes every real condition and needs no further evidence.
Answer and explanation
heat: Energy transfer caused by a temperature difference.
Energy transfer caused by a temperature difference. Both cups are warmer than the room, so net heat transfer tends outward and they cool. A has the higher temperature, while B contains more water. Without a stated energy model and reference, these readings alone do not justify a complete numerical total-energy comparison. Degrees Celsius cannot simply be relabeled as joules.
Problem 25
Answer and explanation
No. Energy transfers through interactions within the material; bulk transport of the handle is not required.
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Problem 26
Answer and explanation
Convection includes bulk fluid motion carrying energy. Conduction transfers energy through local interactions without that bulk motion.
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Problem 27
Answer and explanation
Radiation does not require a material medium between source and receiver.
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Problem 28
Answer and explanation
No. It can reduce transfer rates under the stated design while other pathways and imperfections remain.
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Problem 29
Answer and explanation
Conduction transfers energy through the wall; moving air can carry energy by convection; infrared radiation exchanges energy with surroundings. A sleeve can reduce some transfer through the wall and alter airflow, depending on its design. It does not guarantee zero cooling or prevent radiation by definition.
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Problem 30
Answer and explanation
No. Radiation can travel in many directions. Rising warm fluid is a separate situation involving convection and buoyancy.
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Problem 31
- All heat always rises regardless of the transfer mechanism.
- convection: Energy transport associated with bulk motion of a liquid or gas.
- Radiation requires air or water between source and receiver.
- One illustrative result establishes every real condition and needs no further evidence.
Answer and explanation
convection: Energy transport associated with bulk motion of a liquid or gas.
Energy transport associated with bulk motion of a liquid or gas. Conduction transfers energy through the wall; moving air can carry energy by convection; infrared radiation exchanges energy with surroundings. A sleeve can reduce some transfer through the wall and alter airflow, depending on its design. It does not guarantee zero cooling or prevent radiation by definition.
Problem 32
- Radiation requires air or water between source and receiver.
- All heat always rises regardless of the transfer mechanism.
- radiation: Energy transfer by electromagnetic waves, which can cross empty space.
- One illustrative result establishes every real condition and needs no further evidence.
Answer and explanation
radiation: Energy transfer by electromagnetic waves, which can cross empty space.
Energy transfer by electromagnetic waves, which can cross empty space. Conduction transfers energy through the wall; moving air can carry energy by convection; infrared radiation exchanges energy with surroundings. A sleeve can reduce some transfer through the wall and alter airflow, depending on its design. It does not guarantee zero cooling or prevent radiation by definition.
Problem 33
Answer and explanation
It defines which designs are feasible. Choosing a performance winner first and ignoring its cost changes the original problem.
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Problem 34
Answer and explanation
No. Use matched starts and compare drops over the same interval before attributing the difference to the sleeves.
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Problem 35
Answer and explanation
A fits the limit. B performs better in the modeled temperature measure but is not feasible under that constraint unless it is redesigned.
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Problem 36
Answer and explanation
Changing the feature can change heat-transfer rates. The new design must be tested under its own stated conditions.
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Problem 37
Answer and explanation
C has mean drop 6 °C and costs 3 tokens, meeting both stated conditions. D has mean 4 °C but exceeds the budget. Recommend C for this modeled problem, while noting its 5–7 °C spread and repeating to check consistency. A cheaper D variant would need its own fair test.
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Problem 38
Answer and explanation
No. Fit is a constraint, and one trial does not establish reliable performance. Evaluate all stated requirements and repeat a suitable design.
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Problem 39
- A changed design can inherit the old design’s measured results without retesting.
- The largest performance result automatically wins regardless of constraints.
- criterion: A stated measure of desired success in a design problem.
- One illustrative result establishes every real condition and needs no further evidence.
Answer and explanation
criterion: A stated measure of desired success in a design problem.
A stated measure of desired success in a design problem. C has mean drop 6 °C and costs 3 tokens, meeting both stated conditions. D has mean 4 °C but exceeds the budget. Recommend C for this modeled problem, while noting its 5–7 °C spread and repeating to check consistency. A cheaper D variant would need its own fair test.
Problem 40
- One illustrative result establishes every real condition and needs no further evidence.
- The largest performance result automatically wins regardless of constraints.
- A changed design can inherit the old design’s measured results without retesting.
- constraint: A limit that the proposed solution must satisfy.
Answer and explanation
constraint: A limit that the proposed solution must satisfy.
A limit that the proposed solution must satisfy. C has mean drop 6 °C and costs 3 tokens, meeting both stated conditions. D has mean 4 °C but exceeds the budget. Recommend C for this modeled problem, while noting its 5–7 °C spread and repeating to check consistency. A cheaper D variant would need its own fair test.