Answer:
The 3rd graph
Explanation:
A free body diagram is a diagram which shows all the forces acting on an object.
The problem asks us to find the free body diagram of block A, so we must find all the forces acting on block A.
We have 3 forces acting on block A in total:
- The force of gravity (its weight), which pushes the block downward (in the diagram, it is the force represented with 
- The tension in the rope 1, which pulls block A upwards: this force is represented with 
- The tension in the rope 2, due to the weight of block 2, which pulls block A downwards: this force is represented with 
Based on the direction of these 3 forces, the correct diagram is the 3rd one.
Answer:
505.62 mm
Explanation:
Young's modulus of a material is given by,
Stress is the force experienced by the material per unit area (which is why stress has the same units as pressure).
Strain is the ratio between the change in length/area/volume to the original length/area/volume of the material (and hence a dimensionless quantity). Basically, it gives us a measure of the change in dimensions due to the stress experienced.
So, for the given problem,
or, 
(since we need to find the compression of the bone at the critical stress point)
or, 
Answer:
0.02896 kg/s
Explanation:
= Initial displacement = 0.5 m
= Final displacement = 0.1 m
t = Time taken = 0.5 s
m = Mass of object = 45 g
Displacement is given by
At maximum displacement
The magnitude of the damping coefficient is 0.02896 kg/s
The faucet can fill the bottle in 10 seconds ... it fills 1/10 of the bottle each second.
The hole drains the bottle in 30 seconds ... it drains 1/30 of the bottle in 1 second.
If the faucet and the hole are both working at the same time, then the bottle is filling at the rate of (1/10 of a bottle) - (1/30 of a bottle) each second.
That number is (1/10 - 1/30) = (3/30 - 1/30) = (2/30) = 1/15 bottle per second.
The bottle is filling at the rate of 1/15 bottle per second.
So it'll be filled to the rim of the brim in 15 seconds.
