How Far Did the Weight Lifter Move the Barbell?
What distance did the weight lifter move the barbell if he lifts a barbell of mass 125.7 g doing 5.023 J of work?
Can you calculate the distance the weight lifter moved the barbell?
Calculating the Distance Moved by the Weight Lifter
To find the distance the weight lifter moved the barbell, we can use the formula:
d = W / F
The problem asks about the distance a barbell was lifted given the work done and the mass of the barbell. The distance can be calculated by dividing the work done by the force, which is the weight of the barbell. The weight is calculated from the mass by multiplying by gravity.
The subject of this question is physics because it involves using the principle of work and energy to find the distance the barbell was lifted. Work done is given as the product of force and distance. Providing that the lifting is against gravity only and at constant speed, the force here would be the weight of the barbell which is mass times gravity. Hence, distance (d) is given by work done (W) divided by force (F).
Given parameters:
W = Work done = 5.023 J (Joules)
m = Mass of barbell = 125.7 g = 125.7/1000 = 0.1257 kg
g = Acceleration due to gravity = 9.8 m/s²
So, substitute m and g into F to get F = m * g, then substitute W and F into d = W / F to get:
d = 5.023 / (0.1257 * 9.8)
This calculation will give us the distance the weight lifter moved the barbell. Let's solve and find out!