Work
Define work in words and mathematically (providing units)
words: transfer of energy into/out of a system; also the change in kinetic energy
W = F*d <-- Force parallel to displacement
W = Kf-K0
The potential energy of a 3 kg ball at it's maximum height in the air at 9 m.
264.6 J
What is mechanical energy
The combination of kinetic energy and all forms of potential energy
Is energy always conserved?
Yes
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The unit of work in 3 ways
Joules (J) or (Nm) OR (kgm^2/s^2)
This is the velocity of a bird walking on the ground with a kinetic energy of 49 J and a mass of 2 kg
7 m/s
K = 1/2mv2
Ug = mgh
Us= 1/2 k x2
A satellite is orbiting around the moon with these forms of energy present
Gravitational Potential and Kinetic
Does lake eerie get jealous of lake superior?
yes
A box is lifted into the air and placed back into the same spot. State each force doing work and the net work of the motion.
Forces doing work: Fgravity and Fapplied
Net work: 0
The mechanical energy of a 9 kg ball falling down at 4 m/s when it is 7 m above the ground.
689 J
In elastic potential energy, k and x represent these quantities with these respective units
k: Spring constant (N/m)
x: distance compressed or stretched (m)
Mechanical Energy is not conserved when this is present
What is Friction
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brockhampton :( </3
How much work is done in carrying a 35 kg box 2 m?
None: Force is perpendicular but must be parallel
How much work must be done to increase a 540 kg car's velocity from rest to 33 m/s?
2.94 x 10 5 J
How will the gravitational potential energy of an object change if the height doubles
Double // increase by factor of 2
The sky is falling (like a hexagon from Chicken Little)! What is the conservation of energy equation for when it is 40 m above the ground?
Ug0 = Kf + Ugf
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Is work a vector or a scalar? Why?
Scalar: Sign indicates whether energy is being trasnferred into or out of a system
What is the final velocity when a boulder hits the ground after falling off of a cliff 1080 m high?
145.5 m/s
The kinetic energy of an object will change by a factor of this if the mass is halved and the velocity is tripled
9/2 or 4.5
Describe all forms of energy involved when jumping on a pogo stick
Elastic Potential: when we bounce (spring compresses)
Gravitational Potential: As soon as we leave the ground (we have a position in a gravitational field)
Kinetic: When we leave the ground and are in motion; not including the peak of the jump
The radius and height a tuna can must be to fit all of the tuna in there
r = 45 ft
h = 180 ft