(a) The time it takes for the police officer to catch up to the speeding car is determined as 0.31 s.
(b) The speed of the police officer at the time he catches up to the driver is 136.8 km/h.
<h3>
Time of motion of the police</h3>
The time taken for the police to catch up with the driver is calculated as follows;
v = at
where;
- a is acceleration = 11.8 km/h/s, = 3.278 m/s²
- v is velocity = 135 km/h = 37.5 m/s
t = v/a
t = 37.5/3.278
t = 11.4 seconds
(v1 - v2)t = ¹/₂at² --- (1)
(v1 - v2)t = v1²/2a --- (2)
From (1):
(v1 - 37.5)t = ¹/₂(3.278)t²
(v1 - 37.5)t = 1.639t²
v1 - 37.5 = 1.639t
v1 = 1.639t + 37.5 -----(3)
From (2):
(v1 - 37.5)t = v1²/(2 x 3.278)
(v1 - 37.5)t = 0.153 ----- (4)
solve 3 and 4;
(1.639t + 37.5 - 37.5)t = 0.153
1.639t² = 0.153
t² = 0.0933
t = 0.31 s
<h3>Speed of the police officer</h3>
v1 = 1.639(0.31) + 37.5 = 38 m/s = 136.8 km/h
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Answer:
A) 1.96 * 10^-8 J
B) 2.55 * 10^-7 m
Explanation:
A) calculate the kinetic energy in eV of the recoiling Cs atom
we have to apply the principle of energy conservation and momentum
Initial kinetic energy of electron = 16 eV = 16 * (1.6 * 10^-19 ) J
Initial kinetic energy of atom = 0
therefore the final kinetic energy after collision ( E )
= [ 16 * ( 1.6 * 10^-19 ) ] + 0
= 1.96 * 10^-8 J
B) Determine the wavelength of the ultraviolet radiation
accelerating Voltage = 4.87 V
K.E = eV = 1.6 * 10^-19 * 4.87
next we will apply Planck's relationship
--------- ( 1 )
w = wavelength
h = 6.64 * 10^-34 J-S ( Planck's constant )
c = 3 * 10 ^8 m/sec ( speed of light )
KE = 1.6 * 10^-19 * 4.87
substitute given values into equation 1 above
w ( wavelength ) = 2.55 * 10^-7 m
<u>Answer:</u>
Plane is 1035.76 miles far away from the starting point.
<u>Explanation:</u>
First the plane flies 1.5 hours at 120 mph on a bearing of 10 degrees then it turns and flies 8.5 hours at the same speed on a bearing of 100 degrees.
So angle between the displacements = 100-10 = 90 degrees
Initial displacement = 1.5 *120 = 180 miles
Second displacement = 8.5*120 = 1020 miles
These two displacements are at 90 degrees, so final displacement =
So plane is 1035.76 miles far away from the starting point.
The main Axis powers were Germany, Japan and Italy. The Axis leaders were Adolf Hitler<span> (Germany), </span>Benito Mussolini<span> (Italy), and </span>Emperor Hirohito<span> (Japan)</span>