Answer:
The answer is 1.87nm/s.
Explanation:
The
water loss must be replaced by
of sap. 110g of sap corresponds to a volume of

thus rate of sap replacement is

The volume of sap in the vessel of length
is
,
where
is the cross sectional area of the vessel.
For 2000 such vessels, the volume is

taking the derivative of both sides we get:

on the left-hand-side
is the velocity
of the sap, and on right-hand-side
; therefore,

and since the cross-sectional area is
;
therefore,

solving for
we get:


which is the upward speed of the sap in each vessel.
The ball's velocity
at time
is

where
is the acceleration due to gravity. So after 1.5 seconds, the ball's velocity is


so the ball's speed after 1.5 seconds is also 49.5 m/s.
The answer is: 80 joules.
All you do is multiply the 8 meters by the 10 newtons.
Answer:
The velocity component in south direction is 42.42 miles/hour and in west direction is 42.42 miles/hour.
Explanation:
Given that,
Speed = 60 miles/hour
Direction = south west
Let the south in y axis and west in x axis.
Angle between x and y will be θ.
The component of speed is
of x axis and
of y axis.

Where,
...(I)
....(II)
We know that,
The south west direction makes 45° with west direction in x axis.
(a). We need to calculate the velocity component in south direction
Using equation (I)

Put the value into the formula


(b). We need to calculate the velocity component in west direction
Using equation (II)

Put the value into the formula


Hence, The velocity component in south direction is 42.42 miles/hour and in west direction is 42.42 miles/hour.
Answer:
(a): Will take 0.5 hours to Alex pass Peter.
(b): They will be 18 miles away from the restaurant.
Explanation:
d= 24 mh * 0.25 min
d= 6 miles
t= 6 miles / (36mph - 24mph)
t= 0.5 hours (a)
x= 36 mph * t
x= 36mph * 0.5 hr
x= 18 miles (b)