1) They are able to balance the torques due to gravity.
The torque is equal fo Force * lever arm.
The force downward is due to gravity, Force = mass*gravity.
Then the heavier student will produce a bigger force downgar and he/she shall shorten the lever arm of his/her side, by placing himself closer to the rotation axis, than the lighter student.
Answer:
<em>You would use the kinematic formula:</em>

Explanation:
The upwards vertical motion is ruled by the equation:

Where:





Naming Δy = y - y₀, the equation becomes:

Then, you just need to substitute with Δy = 0.1m, t = 2s, and g = 9.8m/s², ans solve for the intital vertical velocity.
To solve this problem it is necessary to apply Boyle's law in which it is specified that

Where,
and
are the initial pressure and volume values
and
are the final pressure volume values
The final pressure here is the atmosphere, then




Pressure at the water is given by,


Using Boyle equation we have,



Therefore the volume of the lungs at the surface is 5.9L
Answer:
407 steps
Explanation:
From the question,
P = mgh/t........... Equation 1
Where P = power, m = mass, g = acceleration due to gravity, h = height, t = time.
Make h the subject of the equation
h = Pt/mg............. Equation 2
Given: P = 746 W, t = 1 minute = 60 seconds, m = 70 kg.
Constant: g = 9.8 m/s²
Substitute into equation 2
h = 746(60)/(70×9.8)
h = 44760/686
h = 65.25 m
h = 6525 cm
number of steps = 6525/16
number of steps = 407 steps
There are other forces at work here nevertheless we will imagine
it is just a conservation of momentum exercise. Also the given mass of the
astronaut is light astronaut.
The solution for this problem is using the formula: m1V1=m2V2 but
we need to get V1:
V1= (m2/m1) V2
V1= (10/63) 12 = 1.9 m/s will be the final speed of the astronaut after
throwing the tank.