Answer: a) t = 1.8 x 10^2 seconds; b) t = 54 seconds; c) t = 49 seconds. Explanation: a) To determine the time of a stationary passenger on the sidewalk, we use the position formula. Given the constant speed of the walkway, we can calculate the time taken for set distances accordingly. This calculation extends into cases where combined velocities for walking are involved in subsequent queries.
A hiker proceeds 200 m west and subsequently another 100 m north, resulting in a displacement of 223 m. The direction can be determined using the trigonometric function where sin(angle) = opposite/hypotenuse, yielding an angle of 26.6 degrees. Therefore, the total displacement is 223 m at an angle of 26.6 degrees north of west.
Response:

Clarification:
If
-
,
represent the temperatures of gases and liquids in Kelvins,
and
denote the thicknesses of the gas layer and steel slab in meters,
,
are the convection coefficients for gas and liquid in
,
represents the contact resistance in
,
- and
signify thermal conductivities of gas and steel in
,
then: part(a):

by employing known values:
part(b): Utilizing the rate equation:
the surface temperature is 
and 
Correspondingly


The temperature profile is depicted in the image provided
a) The force's magnitude is

, and it acts in the direction from south to north, meaning upward. b) The force's magnitude is 
, with the direction pointing towards the west. c) The magnitude of the force is 
, indicating zero force since the magnetic field aligns parallel to the current (south to north). d) Our conclusion is that the magnetic force is not substantial enough to create impactful consequences at a standard household current of 1.5 A.