Answer:
If the density of the object is high its molecular arrangement is compact while if the density is lows its molecular arrangement isnt that compact
Answer:
300 cos 30 = 40 a + 40 * .2 * 10
Total force = mass * acceleration + frictional force
260 = 40 a + 80
a = 180 / 40 = 4.5 m/s^2
Check:
15 a + 15 * 10 * .2 = T acceleration of 15 kg block (assuming a = 4.5)
T = 15 (4.5) + 30 = 97.5 force required to accelerate 15 kg block
260 - 97.5 = 162.5 net force on 25 kg block
162.5 = 4.5 (25) + 25 * 10 * .2
162.5 = 112.5 + 50 = 162.5
4.5 m/s^2 checks out as correct
Answer:
11.306 nm/s
or
113.06 atomic layers/sec
Explanation:
Hello!
First we need to know how much an inch equals in nanometers and a day in seconds:
Since <em>1inch = 2.54cm</em> and <em>1cm=10^7nm</em>
<em> </em>1 inch = 2.54 * 10^7 nm<em> </em>
<em />
Also <em>1day = 24hours = 24*60minutes = 24*60*60seconds</em>
<em> </em>1 day = 86.4 * 10^3 s
Therefore the rate at which the hair grows in nanometers per seconds is:
1/26 in/day = (1/26) * (2.54*10^7)/(86.4*10^3) = 11.306 nm/s
Now, if 1 atomic layer = 0.1 nm this means that 1 nm = 10 atomic layers.
Therefore:
The rate in atomic layers is
11.306 nm/s = 11.306 (10 atomic layers)/s = 113.06 atomic layers/sec
<em />
Answer:
The speed is 3.87 m/s
Explanation:
The total work is equal to the change to kinetic energy:
Wtotal = ΔEk
Wspring + Wfriction = Ekf - Eki
Eki = 0

Where
k = 200 N/m
d = 10 cm = 0.1 m
fk = 0.15
m = 2 kg
g = 9.8 m/s²
vi = 4 m/s
Replacing and clearing v:

(a) The distance travelled by the hiker is 7.16 km
(b) If the hiker desires to return to his starting point, he should move at 201.71° with respect to east.
Form a right angled triangle with the distance between initial and final points as hypotenuse. The adjacent side will be the total distance travelled on x-direction and the opposite side will be the total distance travelled in y-direction.
Adjacent side =
-
= 3.05 - ( - 3.6 )
Adjacent side = 6.65 km
Opposite side =
-
= 5.9 - 3.25
Opposite side = 2.65 km
According to Pythagoras theorem,
=
+ 
=
+ 
Hypotenuse = √ ( 7.02 + 44.22 )
Hypotenuse = 7.16 km
sin θ = Opposite side / Hypotenuse
sin θ = 2.65 / 7.16
θ =
( 0.37 )
θ = 21.71°
This is the angle in which the hiker travelled from initial to final direction. The angle in which the hiker should travel to return to initial point with respect to east is
θ = 21.71° + 180°
θ = 201.71°
Therefore,
(a) The distance travelled by the hiker is 7.16 km
(b) If the hiker desires to return to his starting point, he should move at 201.71° with respect to east.
To know more about Pythagoras theorem
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