Part A)
Distance is given as sum of total path length
So here as we are given that car drives 40 miles East and 30 miles West
So here the total path length is
Part B)
Displacement is given as straight line distance between initial and final position
So here we can see that
East
West
Now the total displacement will be
<u><em>so the displacement will be 10 miles East</em></u>
Answer:
D) 1000 m/s
Explanation:
You have the wavelength and frequency, you just need to solve for velocity. You can do this by multiplying each side of the equation by frequency.
Hope this helps.
1) Mechanical energy is conserved in all the situations listed
2) True
3) The energy that an object has stored due to its position or shape is called potential energy
4) The potential energy of the block is 490 J
5) The potential energy of the elevator is 750,000 J
Explanation:
1)
The mechanical energy of an object is the sum of its kinetic energy (KE) and its potential energy (PE):
Where
KE is the energy due to the motion of the object
PE is the energy due to the position of the object (it can be either gravitational potential energy or elastic potential energy)
In absence of non-conservative forces, such as friction or air resistance, the mechanical energy is always conserved. Therefore, the mechanical energy is conserved in all the situations listed here:
Child on a swing --> there is a continuous conversion between gravitational potential energy and kinetic energy
Pendulum --> there is a continuous conversion between gravitational potential energy and kinetic energy
Bow and Arrow --> there is a conversion between elastic potential energy of the bow and kinetic energy of the arrow
Roller Coaster --> there is a continuous conversion between gravitational potential energy and kinetic energy
2)
The potential energy of an object is given by
where
m is its mass
g is the acceleration due to gravity
h is the height of the object relative to the ground
While the kinetic energy is given by
where
v is the speed of the object
As an object falls to the ground, its height h decreases, therefore the potential energy PE decreases as well. However, the speed of the object, v, increases during the fall, and therefore the kinetic energy KE increases. This means that potential energy is converted into kinetic energy.
3)
Potential energy is the energy possessed by an object due to its position. It can be of two types:
4)
The potential energy stored in an object held above the ground is given by
where
m is the mass of the object
g is the acceleration of gravity
h is the height of the object relative to the ground
For the object in this problem, we have
m = 10 kg
h = 5 m
Substituting, we find
5)
As before, the potential energy of the elevator is given by
where m is its mass and h is its height above the ground.
Here we don't have the mass of the elevator. However, we know its weight:
But we also know that the weight of an object is equal to the product between its mass and the acceleration of gravity:
So we can rewrite the potential energy as
and the height of the elevator is
h = 500 m
Therefore, its potential energy is
Learn more about potential energy:
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