Buffy the Vampire Slayer is buffing up her 0.53 meter long arms by bench pressing. In 35 seconds she can lift 38 kilograms of mass 23 times. How powerful are Buffy's arms?
To find out how powerful Buffy's arms are, we need to calculate the work she does while bench pressing. Work is defined as the product of force and displacement.
Work = Force × Displacement
Force = Mass × Gravity
Let's calculate the force first.
Force = Mass × Gravity
= 38 kg × 9.8 m/s² (where gravity is approximately 9.8 m/s²)
= 372.4 Newtons
Now, we need to calculate the displacement. Buffy's arms move vertically for each bench press, so the displacement is the distance traveled by her arms, which is twice the length of her arms.
Displacement = 2 × Arm Length
= 2 × 0.53 meters
= 1.06 meters
Now we can calculate the work done.
Work = Force × Displacement
= 372.4 N × 1.06 m
≈ 394.5 Joules
So, Buffy's arms are capable of generating approximately 394.5 Joules of work while bench pressing.