The 200kg hammer of a pile driver is lifted 10 m. Find the potential energy of the system when the hammer is at this height
PE = M*g*h = 200*9.8*10 =
Well, well, well, looks like we've got some potential energy enthusiasts here! So, let's do some math, shall we?
The potential energy (PE) of an object is given by the formula PE = mgh, where m is the mass, g is the acceleration due to gravity (which is approximately 9.8 m/s^2), and h is the height.
In this case, the mass of the hammer is 200 kg and the height is 10 m. So, let's crunch the numbers:
PE = (200 kg) * (9.8 m/s^2) * (10 m)
Solving this equation, we get:
PE = 196,000 J
Boom! The potential energy of the system when the hammer is lifted to a height of 10 m is 196,000 joules. That's a lot of potential, don't you think?
To find the potential energy of the system, we can use the formula for potential energy:
Potential energy (PE) = mass (m) × acceleration due to gravity (g) × height (h)
Given:
Mass of the hammer (m) = 200 kg
Acceleration due to gravity (g) = 9.8 m/s^2 (approximate value)
Height (h) = 10 m
Now we can plug in these values into the formula:
PE = m × g × h
= 200 kg × 9.8 m/s^2 × 10 m
Using a calculator, we can calculate:
PE ≈ 200 × 9.8 × 10
≈ 19,600 J
Therefore, the potential energy of the system when the hammer is at a height of 10 m is approximately 19,600 joules.
To find the potential energy of the system when the hammer is lifted, we can use the formula for potential energy:
Potential Energy = mass x gravitational acceleration x height
1. First, we need to find the gravitational acceleration. The standard value for the acceleration due to gravity on Earth is approximately 9.8 m/s^2.
2. Now, we can plug in the values into the formula:
Potential Energy = 200 kg x 9.8 m/s^2 x 10 m
3. Multiply the mass (200 kg) by the gravitational acceleration (9.8 m/s^2), then multiply that by the height (10 m) to calculate the potential energy:
Potential Energy = 200 kg x 9.8 m/s^2 x 10 m
= 19600 kg*m^2/s^2
The potential energy of the system when the hammer is lifted to a height of 10 m is 19600 kg*m^2/s^2.