Explanation:
Let us assume that the given cylinder is 2.6 cm wide and its height is 3.1 cm. And, when piston is pushed down then the steady force is equal to 15 N.
Now, radius of the cylinder will be as follows.
r = 
= 
= 1.3 cm
or, = 0.013 m (as 1 m = 100 cm)
As, area of cylinder =
=
= 
Relation between pressure and force is as follows.
Pressure =
= 
= 25996 
Since, 1
= 1 Pa (as 1 kPa = 1000 Pa)
Therefore, P = 25996
= 25.99 kPa
= 26 kPa (approx)
Thus, we can conclude that pressure of the gas inside the cylinder is 26 kPa.
Her resultant displacement is (45 Meters East.)
She originally walks 45 meters east, then she goes south 45 meters, then north 45 meters. The south and north placements just make her go back to where her previous placements were before them. Making her 45 meters east.
Explanation:
The given data is as follows.
mass (m) = 0.160 kg, spring constant (k) = 8 n/m,
Maximum speed (
) = 0.350 m/s
Formula for angular frequency is as follows.


= 7.07 rad/sec
(a) Formula to calculate the amplitude is as follows.

A = 
= 
= 0.05 m
Hence, value of amplitude is 0.05 m.
(b) Displacement = 0.030 m
Formula for mechanical energy is as follows.
M.E = 
Putting the values into the above formula as follows.
M.E = 
= 
=
Joule
For x = 0.03,
As, P.E = 
= 
= 
Hence, calculate the kinetic energy as follows.
K.E = M.E - P.E
= (
-
) J
=
J
Thus, we can conclude that kinetic energy of the puck when the displacement of the glider is 0.0300 m is
J.
Answer:
95 %
99.7 %
Explanation:
= 166 cm = Mean
= 5 cm = Standard deviation
a) 156 cm and 176 cm


From the empirical rule 95% of all values are within 2 standard deviation of the mean, so about 95% of men are between 156 cm and 176 cm.
b) 151 cm and 181 cm


The empirical rule tells us that about 99.7% of all values are within 3 standard deviations of the mean, so about 99.7% of men are between 151 cm and 181 cm.