So we want to know what is the distance d of the object from the lens if the height of the object is h=6 cm, focal length of the lens is f=5 cm and the distance d=15 cm is the distance of the object from the lens. From the formula for the convex lens 1/f=(1/D + 1/d) where D is the distance of the image from the lens we can get D after solving for D: 1/D=(1/f) - (1/d),
1/D=(1/5)-(1/15)=0.2-0,06667=0.13333 so f=1/0.13333=7.500187 cm. Rounded to the nearest hundredth D=7.50 cm. That is very close to 7.69 cm so the correct answer is the third one.
I believe
the answer is C. 0.14cm.
The zero error in vernier caliper is read by the distance by which the zero of the movable part of the scale is shifted from the zero of the cm ruler in the tool, which is the unmovable part of the tool. The movable part has a scale accuracy of 0.1 cm, while the other has a scale accuracy of 1 cm. And we always use the lowest scale, which is here the 0.1 scale which has greater accuracy with 10 times the 1 cm ruler, to find our errors.
Hope this helps!
<h2>
a) Displacement of penny = 1300 i + 2400 j - 640 k</h2><h2>b) Magnitude of his displacement = 2729.47 m</h2>
Explanation:
a) He walks 1300 m east, 2400 m north, and then drops the penny from a cliff 640 m high.
1300 m east = 1300 i
2400 m north = 2400 j
Drops the penny from a cliff 640 m high = -640 k
Displacement of penny = 1300 i + 2400 j - 640 k
b) Displacement of man for return trip = -1300 i - 2400 j
Magnitude of his displacement = 2729.47 m
Answer:
The symbol 'K' is a proportionality constant because it shows the direct relationship between the gas tank volume, v, and the time required, t, to fill.
It is also the constant product of the ratio of the gas tank volume to the time required to fill it.
Answer:
Approximately assuming no heat exchange between the mixture and the surroundings.
Explanation:
Consider an object of specific heat capacity and mass . Increasing the temperature of this object by would require .
Look up the specific heat of water: .
It is given that the mass of the water in this mixture is .
Temperature change of the water: .
Thus, the water in this mixture would have absorbed :
.
Thus, the energy that water absorbed was: .
Assuming that there was no heat exchange between the mixture and its surroundings. The energy that the water in this mixture absorbed, , would be the opposite of the energy that the metal in this mixture released.
Thus: (negative because the metal in this mixture released energy rather than absorbing energy.)
Mass of the metal in this mixture: .
Temperature change of the metal in this mixture: .
Rearrange the equation to obtain an expression for the specific heat capacity: . The (average) specific heat capacity of the metal pieces in this mixture would be:
.