A 10 kg object is moving with a velocity of 4 m/s. What is its total mechanical

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Question: A 10 kg object is moving with a velocity of 4 m/s. What is its total mechanical energy if it is at a height of 5 m? (2020)

Options:

Correct Answer: 140 J

Exam Year: 2020

Solution:

Total Mechanical Energy = Kinetic Energy + Potential Energy = (1/2 * 10 kg * (4 m/s)²) + (10 kg * 9.8 m/s² * 5 m) = 80 J + 490 J = 570 J

A 10 kg object is moving with a velocity of 4 m/s. What is its total mechanical energy if it is at a height of 5 m? (2020)

A 10 kg object is moving with a velocity of 4 m/s. What is its total mechanical energy if it is at a height of 5 m? (2020)

Step 1: Identify the mass of the object, which is 10 kg.
Step 2: Identify the velocity of the object, which is 4 m/s.
Step 3: Identify the height of the object, which is 5 m.
Step 4: Calculate the Kinetic Energy (KE) using the formula KE = 1/2 * mass * velocity².
Step 5: Plug in the values: KE = 1/2 * 10 kg * (4 m/s)².
Step 6: Calculate (4 m/s)², which is 16 m²/s².
Step 7: Multiply: KE = 1/2 * 10 kg * 16 m²/s² = 80 J.
Step 8: Calculate the Potential Energy (PE) using the formula PE = mass * gravity * height.
Step 9: Use the value of gravity as 9.8 m/s²: PE = 10 kg * 9.8 m/s² * 5 m.
Step 10: Multiply: PE = 10 kg * 9.8 m/s² * 5 m = 490 J.
Step 11: Add the Kinetic Energy and Potential Energy to find the Total Mechanical Energy: Total Mechanical Energy = KE + PE.
Step 12: Add the values: Total Mechanical Energy = 80 J + 490 J = 570 J.

Kinetic Energy – The energy possessed by an object due to its motion, calculated using the formula KE = 1/2 mv².
Potential Energy – The energy stored in an object due to its height above the ground, calculated using the formula PE = mgh.
Total Mechanical Energy – The sum of kinetic and potential energy in a system, representing the total energy available for doing work.