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7. A Person Is Pulling a Block at a 20 Degree Angle . If the Force Applied to the String Is 12N, How Much Energy Is Needed to Pull the

Question

7. A person is pulling a block at a 20 degree angle . If the force applied to the string is 12N, how much energy is needed to pull the block 10 meters?

Solution

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Answer

Here's how to solve this problem:1. **Determine the horizontal component of the force:** Since the block is moving horizontally, we only care about the horizontal component of the applied force. We can find this using trigonometry: Horizontal Force = Applied Force * cos(angle) Horizontal Force = 12 N * cos(20°) Horizontal Force ≈ 11.28 N2. **Calculate the work done:** Work is defined as force applied over a distance. Since the force and displacement are in the same direction (horizontal), we can calculate the work as follows: Work = Force * Distance Work = 11.28 N * 10 m Work = 112.8 JoulesTherefore, approximately 112.8 Joules of energy is needed to pull the block 10 meters.