the work done in lifting a 600-N barbell 1.6m above the floor.
What is the gain of potential energy of the barbell when it is lifted to this height?
Express your answer to two significant figures and include the appropriate units.
the same as the work done lifting it
m g h = 600 * 1.6 Joules
840 J for both. The work it takes to get it to that height equals the amount of potential energy it has up there.
Well, the potential energy gain of the barbell can be calculated using the formula: Potential Energy = Mass × Gravity × Height.
To start, we need to convert the weight of the barbell into mass. We can do this by dividing the weight (600 N) by the acceleration due to gravity (9.8 m/s^2). This will give us the mass of the barbell.
600 N / 9.8 m/s^2 = 61.22 kg (approximately)
Now we can calculate the potential energy:
Potential Energy = Mass × Gravity × Height
= 61.22 kg × 9.8 m/s^2 × 1.6 m
= 960.09 joules
So, the gain of potential energy of the barbell when lifted to this height is approximately 960 joules. That's a lot of potential energy! Just imagine the potential for epic lifts!
To calculate the gain in potential energy of the barbell, we can use the formula:
Potential energy (PE) = mass (m) x gravity (g) x height (h)
First, let's find the mass of the barbell. We can use the equation:
Weight (W) = mass (m) x gravity (g)
Since the weight of the barbell is given as 600 N (Newtons), we can rearrange this equation to solve for the mass:
mass (m) = Weight (W) / gravity (g)
Where gravity (g) is approximately 9.8 m/s².
mass (m) = 600 N / 9.8 m/s² = 61.22 kg (or approximately 61 kg)
Now we can calculate the gain in potential energy:
PE = mgh
Where h is the height, given as 1.6 m.
PE = 61.22 kg x 9.8 m/s² x 1.6 m
PE = 947.85 J (or approximately 950 J)
Therefore, the gain of potential energy of the barbell when lifted to a height of 1.6 m is approximately 950 J (Joules).
To calculate the gain of potential energy of the barbell when it is lifted to a certain height, we can use the formula:
Potential Energy = mass * gravity * height
First, we need to find the mass of the barbell. We know that weight is equal to mass multiplied by gravity. In this case, the weight of the barbell is given as 600 N. Since gravity is approximately 9.8 m/s^2, we can use these values to find the mass of the barbell as follows:
Mass = weight / gravity
Mass = 600 N / 9.8 m/s^2
Now we can calculate the gain of potential energy:
Potential Energy = mass * gravity * height
Potential Energy = (mass) * (9.8 m/s^2) * (1.6 m)
Using the calculated mass and plugging in the given height, we can find the gain of potential energy.