what power is expended by a weightlifter when lifting a 60kg barbell a vertical distance of 1.1m in a time interval of 2.0s
Fb = m*g = 60kg * 9.8N/kg = 588 N. =
Force of the barbell.
Power = F*d/t = 588*1.1/2=323.4 Joules/s
= 323.4 Watts.
Well, let's do some calculations, shall we? To find the power expended by the weightlifter, we can use the formula:
Power = Work done / Time
In this case, the work done by the weightlifter would be equal to the force applied multiplied by the distance traveled. The force applied can be calculated using Newton's second law:
Force = mass x acceleration
Now, since the weightlifter is lifting the barbell vertically with a constant speed, the acceleration would be zero because there is no change in velocity. So, the force applied would just be the weight of the barbell:
Force = mass x gravity
Now plug in the values:
Force = 60 kg x 9.8 m/s^2 = 588 N (approximately)
The work done is given by:
Work = Force x distance
Work = 588 N x 1.1 m = 646.8 Joules (approximately)
Finally, let's calculate the power:
Power = Work / Time
Power = 646.8 J / 2.0 s = 323.4 Watts (approximately)
So, the power expended by the weightlifter when lifting the 60kg barbell is approximately 323.4 Watts. But hey, remember that powerlifting is an exercise, not a math problem!
To calculate the power expended by a weightlifter, we use the formula:
Power = Work ÷ Time
First, we need to calculate the work done by the weightlifter. The work is given by the formula:
Work = Force × Distance
The force exerted by the weightlifter can be calculated using Newton's second law of motion:
Force = Mass × Gravity
where mass is the mass of the barbell (60 kg) and gravity is the acceleration due to gravity (9.8 m/s²).
To find the distance, we can use the height through which the barbell is lifted (1.1 m).
Now let's calculate the power:
Step 1: Calculate the force exerted by the weightlifter:
Force = Mass × Gravity
Force = 60 kg × 9.8 m/s²
Step 2: Calculate the work done by the weightlifter:
Work = Force × Distance
Work = (60 kg × 9.8 m/s²) × 1.1 m
Step 3: Calculate the power:
Power = Work ÷ Time
Power = [(60 kg × 9.8 m/s²) × 1.1 m] ÷ 2.0 s
Now we can calculate the power:
Power = (588 N × 1.1 m) ÷ 2.0 s
Power = 646.8 N·m/s ÷ 2.0 s
Power ≈ 323.4 Watts
Therefore, the power expended by the weightlifter when lifting the 60kg barbell a vertical distance of 1.1m in a time interval of 2.0s is approximately 323.4 Watts.
To find the power expended by a weightlifter, we need to utilize the formula:
Power = Work / Time
First, let's calculate the work done. The work done (W) can be determined using the formula:
Work = Force × Distance × Cos(θ)
In this case, the force applied is equal to the gravitational force exerted on the barbell and can be calculated using:
Force = mass × acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2.
Force = 60 kg × 9.8 m/s^2
Next, let's calculate the distance lifted. In this case, the distance is the vertical distance over which the barbell is lifted, which is 1.1 meters.
So, the work done can be calculated as:
Work = (60 kg × 9.8 m/s^2) × 1.1 m × Cos(θ)
Since the barbell is lifted vertically, the angle (θ) between the force and the displacement is 0 degrees, and Cos(0) is equal to 1.
Therefore, the work done is:
Work = (60 kg × 9.8 m/s^2) × 1.1 m × Cos(0)
= (60 kg × 9.8 m/s^2) × 1.1 m × 1
= 646.8 Joules
Now, we can substitute the work value into the power formula:
Power = Work / Time
In this case, the time interval is given as 2.0 seconds.
Power = 646.8 Joules / 2.0 seconds
= 323.4 Watts
Therefore, the power expended by the weightlifter is approximately 323.4 Watts.