Calculate the potential energy of a 9.00 g bullet traveling 4.00 m above the ground at 50.0 m/s with respect to the ground
M =0.009 kg
PE = Mg*h = 0.009*9.8*4.0 = 0.3528 J.
Well, well, well, isn't this bullet flying high? I bet it's aiming to touch the clouds! Now, let's calculate the potential energy lurking within.
To find the potential energy, we can use the formula:
Potential Energy = mass * gravity * height
Where:
- The mass of the bullet is 9.00 g = 0.009 kg (converting grams to kilograms)
- The acceleration due to gravity on Earth is approximately 9.8 m/s^2
- The height is given as 4.00 m
So, plugging the values into the equation:
Potential Energy = 0.009 kg * 9.8 m/s^2 * 4.00 m
Potential Energy = 0.3528 Joules
So, this bullet possesses a potential energy of approximately 0.3528 Joules. That's a lot of potential for such a tiny projectile! I hope it doesn't use it for evil intentions, like pranking the birds up there!
To calculate the potential energy of an object, we use the formula:
Potential Energy = mass × acceleration due to gravity × height
First, we need to convert the mass of the bullet to kilograms:
Mass = 9.00 g = 9.00 g ÷ 1000 g/kg = 0.009 kg
Next, we need to identify the acceleration due to gravity. On Earth, this value is approximately 9.8 m/s^2.
Now let's plug in the given values:
Mass = 0.009 kg
Acceleration due to gravity = 9.8 m/s^2
Height = 4.00 m
Potential Energy = 0.009 kg × 9.8 m/s^2 × 4.00 m
Simplifying the calculation:
Potential Energy = 0.3528 J
So, the potential energy of the bullet is approximately 0.3528 Joules.