According to the label on a soft drink, one serving provides 185 kcal. If all of this energy is used to lift 1.0-kg blocks, how many blocks can be lifted 6.0 meters?

Note: 1 J is approximately equal to the energy required to raise a 1-kg block a distance of 10 cm against Earth’s gravity.

Question

07-11-2024
Physics

High School

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According to the label on a soft drink, one serving provides 185 kcal. If all of this energy is used to lift 1.0-kg blocks, how many blocks can be lifted 6.0 meters?

Note: 1 J is approximately equal to the energy required to raise a 1-kg block a distance of 10 cm against Earth’s gravity.

Answer :

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Final answer:

Using the 185 kcal of energy provided by a single serving of a soft drink, which is equivalent to 774,040 joules, we can lift approximately 12,900 1.0-kg blocks to a height of 6.0 meters.

Explanation:

The question asks us to determine how many 1.0-kg blocks can be lifted 6.0 m using the energy contained in one serving of a soft drink (185 kcal).

Firstly, we need to convert the energy from kilocalories (kcal) to joules (J), the standard unit of energy in physics. We know that 1 kilocalorie equals 4.184 kJ, or 4184 joules. Thus, the energy in the soft drink is 185 kcal * 4184 J/kcal = 774,040 J.

To calculate how many blocks we can lift, we need to figure out how much energy is used to lift one block 6.0 m. This calculation will depend on the fact that 1 joule is equivalent to the energy required to lift a 1.0-kg block a distance of 10 cm (or 0.1 m). So, to lift a block 6.0 m requires 60 joules (since 6.0 m is 60 times the distance of 0.1 m).

Therefore, the total number of blocks that can be lifted using the energy contained in one serving of soft drink is 774,040 J / 60 J/block = 12,900 blocks.

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According to the label on a soft drink, one serving provides 185 kcal. If all of this energy is used to lift 1.0-kg blocks, how many blocks can be lifted 6.0 meters?Note: 1 J is approximately equal to the energy required to raise a 1-kg block a distance of 10 cm against Earth’s gravity.

Answer :

Final answer:

Explanation:

Other Questions

According to the label on a soft drink, one serving provides 185 kcal. If all of this energy is used to lift 1.0-kg blocks, how many blocks can be lifted 6.0 meters?

Note: 1 J is approximately equal to the energy required to raise a 1-kg block a distance of 10 cm against Earth’s gravity.