Air from the outside is:



a. warmed, dried and cleaned by the nose and mouth

b. cooled, dried and cleaned by the nose and mouth

c. cooled, moistened and cleaned by the nose and mouth

d. warmed, moistened and cleaned by the nose and mouth

answer:

the magnitude of the net force is 5430n

explanation:

i suggest to define the axes as aligned to the axis of the plane. this will require you to decompose only one vector, namely the weight. we need two components of the w force: one in horizontal direction of the plane, the other perpendicular to it. through a simple triangle argument you will se that the plane-horizontal component of w is

acting in the direction of the drag, and the plane-perpendicular component is:

with negative sign since it counteracts the lift.

so the components of the netforce f are:

the magnitude of the   net force is:

answer: the entangled players would move with a speed of 0.2 m/s in the direction direction of the motion of second soccer player.

explanation:

from law of conservation of momentum,

initial momentum of the closed system   = final momentum of the closed system

since, no external force is acting on the players, total momentum would be conserved.

m₁u₁+m₂u₂=(m₁+m₂)v

where, m₁ is the mass of one soccer player = 40 kg

u₁ is its initial velocity before collision = 4 m/s

m₂ is the mass of the other soccer player = 60 kg

u₂ is the initial velocity before collision = - 3 m/s (∵opposite direction)

after collision, the two players get entangled and hence move with the same final velocity v.

40 kg × 4 m/s - 60 kg × 3 m/s = (40 kg + 60 kg ) v

160   kg m/s - 180 kg m/s = 100 kg v

v = -0.2 m/s

hence, the entangled players would move with a speed of 0.2 m/s in the direction direction of the motion of second soccer player.

the speed of the bmw with respect to an inertial reference system is:

where

= speed with respect to the inertial reference system (road)

= speed of the mobile reference system with respect to the inertial system.

= speed of the object in relation to the mobile reference system.

=?

= 57 mph

= -11 mph

mph

the speed of the bmw is 46 mph