Answer: 600N
Explanation:
Centripetal force is the force that causes a body to move in a circular path.
Centripetal force = MV²/r
M = 75kg v = 80m/s r = 0.80km = 800m
Substituting the values given in the formula;
F = 75 × 80²/800
F = 600N
The magnitude of the resultant force on the 75kg pilot is 600N.
Answer:
24.71 mm
Explanation:
Distance is proportional to focal length, so
d∝f
which means
Magnification of first lens
and
Similarly, magnification of second lens
and
From the above equations we get
and
which means,
and
So, we get
∴ Focal length should this camera's lens is 24.71 mm
Answer:
2.46 W
Explanation:
Thermal conductivity k = 53.4 W/m-K
Radius r = 12 mm = 12x10^-3 m
Lenght = 2.5 m
T1 = 361 °C
T2 = 105 ∘C
Area A = ¶r^2 = 3.142 x (12x10^-3)^2
= 0.00045 m^2
Power P = -AkdT/dx
Where dT = 361 - 105 = 256
dx = lenght of heat travel = 2.5 m
P = -0.00045 X 53.4 X (256/2.5)
= -0.024 X 102.4 = -2.46 W
The negative sign indicates that heat is lost from the metal.
Answer:
–77867 m/s/s.
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 34.5 m/s
Final velocity (v) = –23.9 m/s
Time (t) = 0.00075 s
Acceleration (a) =?
Acceleration is simply defined as the rate of change of velocity with time. Mathematically, it is expressed as:
Acceleration = (final velocity – Initial velocity) /time
a = (v – u) / t
With the above formula, we can obtain acceleration of the ball as follow:
Initial velocity (u) = 34.5 m/s
Final velocity (v) = –23.9 m/s
Time (t) = 0.00075 s
Acceleration (a) =?
a = (v – u) / t
a = (–23.9 – 34.5) / 0.00075
a = –58.4 / 0.00075
a = –77867 m/s/s
Thus, the acceleration of the ball is –77867 m/s/s.
Prior to touching the bar magnet, the magnetic domains in the nail were pointing in random directions. When Taylor touched the nail to the bar magnet the magnetic fields of the magnetic domains aligned and it became a temporary magnet.
