Can you help me in English

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Certainly, I can help you in English. Let's solve the problems from the photo you sent earlier.

To solve these problems, we will use the formula for gravitational potential energy:

EP=mghEP = mgh

Where:

  • EPEP is the potential energy in Joules (J).
  • mm is the mass in kilograms (kg).
  • gg is the acceleration due to gravity, approximately 9.8 m/s29.8 \, \text{m/s}^2.
  • hh is the height in meters (m).

:
Given: M=8 kgM = 8 \, \text{kg}, H=5 mH = 5 \, \text{m}
Find: EPEP

  1. Write down the formula for potential energy.

    EP=mghEP = mgh

  2. Substitute the given values into the formula.

    EP=(8 kg)×(9.8 m/s2)×(5 m)EP = (8 \, \text{kg}) \times (9.8 \, \text{m/s}^2) \times (5 \, \text{m})

  3. Calculate the potential energy.

    EP=392 JEP = 392 \, \text{J}

    Answer: 392 J\boxed{\text{392 J}}

    :
    Given: M=100 kgM = 100 \, \text{kg}, H=10 mH = 10 \, \text{m}
    Find: EPEP

  4. Write down the formula for potential energy.

    EP=mghEP = mgh

  5. Substitute the given values into the formula.

    EP=(100 kg)×(9.8 m/s2)×(10 m)EP = (100 \, \text{kg}) \times (9.8 \, \text{m/s}^2) \times (10 \, \text{m})

  6. Calculate the potential energy.

    EP=9800 JEP = 9800 \, \text{J}

    Answer: 9800 J\boxed{\text{9800 J}}

    :
    Given: H=100 mH = 100 \, \text{m}, M=100 kgM = 100 \, \text{kg}
    Find: EPEP

  7. Write down the formula for potential energy.

    EP=mghEP = mgh

  8. Substitute the given values into the formula.

    EP=(100 kg)×(9.8 m/s2)×(100 m)EP = (100 \, \text{kg}) \times (9.8 \, \text{m/s}^2) \times (100 \, \text{m})

  9. Calculate the potential energy.

    EP=98000 JEP = 98000 \, \text{J}

    Answer: 98000 J\boxed{\text{98000 J}}

    :
    Given: M=1000 kgM = 1000 \, \text{kg}, H=50 mH = 50 \, \text{m}
    Find: EPEP

  10. Write down the formula for potential energy.

    EP=mghEP = mgh

  11. Substitute the given values into the formula.

    EP=(1000 kg)×(9.8 m/s2)×(50 m)EP = (1000 \, \text{kg}) \times (9.8 \, \text{m/s}^2) \times (50 \, \text{m})

  12. Calculate the potential energy.

    EP=490000 JEP = 490000 \, \text{J}

    Answer: 490000 J\boxed{\text{490000 J}}

    :
    Given: M=50 kgM = 50 \, \text{kg}, EP=1470 JEP = 1470 \, \text{J}
    Find: HH

  13. Write down the formula for potential energy and rearrange it to solve for hh.

    EP=mghEP = mgh h=EPmgh = \frac{EP}{mg}

  14. Substitute the given values into the rearranged formula.

    h=1470 J(50 kg)×(9.8 m/s2)h = \frac{1470 \, \text{J}}{(50 \, \text{kg}) \times (9.8 \, \text{m/s}^2)}

  15. Calculate the height.

    h=1470490 mh = \frac{1470}{490} \, \text{m} h=3 mh = 3 \, \text{m}

    Answer: 3 m\boxed{\text{3 m}}

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