We read your photo as:

Calculate the potential energy of a 50 kg body at a height of 1.5 m, and its kinetic energy if it moves at 40 m/s.

Physics

ScanSolve AI Answer

Step-by-step solution

4 steps

Here are the solutions to your questions:

1. Calculate the potential energy.

  1. Identify the given values and the formula for potential energy.

    The mass of the body is m=50 kgm = 50\, \text{kg}.
    The height above the ground is h=1.5 mh = 1.5\, \text{m}.
    The acceleration due to gravity is g=9.8 m/s2g = 9.8\, \text{m/s}^2 (standard value).
    The formula for potential energy (PEPE) is:

    PE=mghPE = mgh
  2. Substitute the values into the formula and calculate.

    PE=(50 kg)(9.8 m/s2)(1.5 m)PE = (50\, \text{kg})(9.8\, \text{m/s}^2)(1.5\, \text{m}) PE=735 JPE = 735\, \text{J}

    The potential energy is 735 J\boxed{\text{735 J}}.

    2. Calculate its kinetic energy.

  3. Identify the given values and the formula for kinetic energy.

    The mass of the object is m=500 kgm = 500\, \text{kg}.
    The velocity of the object is v=40 m/sv = 40\, \text{m/s}.
    The formula for kinetic energy (KEKE) is:

    KE=12mv2KE = \frac{1}{2}mv^2
  4. Substitute the values into the formula and calculate.

    KE=12(500 kg)(40 m/s)2KE = \frac{1}{2}(500\, \text{kg})(40\, \text{m/s})^2 KE=12(500 kg)(1600 m2/s2)KE = \frac{1}{2}(500\, \text{kg})(1600\, \text{m}^2/\text{s}^2) KE=250 kg×1600 m2/s2KE = 250\, \text{kg} \times 1600\, \text{m}^2/\text{s}^2 KE=400000 JKE = 400000\, \text{J}

    The kinetic energy is 400,000 J\boxed{\text{400,000 J}}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp