Answer:
a ) 2.68 m / s
b ) 1.47 m
Explanation:
The jumper will go down with acceleration as long as net force on it becomes zero . Net force of (mg - kx ) will act on it where kx is the restoring force acting in upward direction.
At the time of equilibrium
mg - kx = 0
x = mg / k
= (60 x 9.8 ) / 800
= 0.735 m
At this moment , let its velocity be equal to V
Applying conservation of energy
kinetic energy of jumper + elastic energy of cord = loss of potential energy of the jumper
1/2 m V² + 1/2 k x² = mg x
.5 x 60 x V² + .5 x 800 x .735 x .735 = 60 x 9.8 x .735
30 V² + 216.09 = 432.18
V = 2.68 m / s
b ) At lowest point , kinetic energy is zero and loss of potential energy will be equal to stored elastic energy.
1/2 k x² = mgx
x = 2 m g / k
= (2 x 60 x 9.8) / 800
= 1.47 m
Answer: Neighbour
Explanation: Taken perspective from the given clues:
The Neighbor walks to work
The Handyman rides a bike
The Cook rides a motorcycle
The Maid drives a car
The Nephew has a dog
If we assume that the handyman delivered the iPad in the mailbox, then
The direction of the cook, Nephew and his dog are perpendicular to the direction of the bike of the handyman. So, it can't be the cook, Nephew and the maid.
The two suspects are the handyman and the neighbour.
If the handyman actually dropped the iPad and left, then, the neighbour should be the culprit.
Answer:
27000 Nm
Explanation:
The boom end at A is fixed and end at B is subjected to a 3kN force. Boom AB has length of 9m. The moment about A is the product of force 3kN (3000 N) at B and the moment arm of 9m
M = FL = 3000 * 9 = 27000 Nm
So the moment about A is 27000 Nm
The difference is one is a written formula that describes a molecule, the other is a visual representation of the molecule. for example the hydrocarbon butane has a molecular formula of C4H10, whereas the molecular model would depict 4 Carbon atoms (either represented by colour coded dots or the letter C) with single bonds (one straight line) connecting them to the 10 Hydrogen atoms (either differenly coloured dots or a H)
Momentum = mass * velocity
= 1400 * 10
= 14000 kg m per sec
