Answer:
<em>The horizontal component of the velocity is 49.85 m/s.</em>
Explanation:
<u>Rectangular Components of a Vector</u>
A 2D vector can be expressed in several forms. The rectangular form gives its two components, one for each axis (x,y). The polar form gives the components as the pair (r,θ) being r the magnitude and θ the angle.
When the magnitude and angle of the vector are given, the rectangular components are calculated as follows:
Where v is the magnitude of the vector and θ is the angle with respect to the x positive direction.
The cart is moving at v=55 m/s at θ=25°, thus:
The horizontal component of the velocity is 49.85 m/s.
Answer:
(a) the time needs for her to cross the river is 2736.8 s.
(b) the distance takes to reach the other side of the river is 2490.5 m.
Explanation:
given information:
woman's speed, v₁ = 1.9 m/s
the wide of river, s = 5.2 km = 5200 m
river's current, v₂ = 0.91 m/s
(a) How much time does it take her to cross the river?
s = v t
s = the displacement (m)
v = speed (m/s)
t = time (s)
s = v t
t = s/v
= 5200/1.9
= 2736.8 s
(b) How far downstream will the river carry her by the time she reaches the other side of the river?
s = v t
= (0.91) (2736.8)
= 2490.5 m
Arguably, far more dangerous. Whilst the initial stimulating effects of cocaine (it does this by blocking the reuptake of dopamine by the transporter proteins) giving the user a sense of self confidence and euphoria can result in rash and impulsive decisions leading to problems - the real issues with it lie in the tolerance that results.
your brain always wants to keep neurotransmitter levels stable, so when the dopamine levels skyrocket because their reuptake is blocked, the brain responds by reducing dopamine synthesis and the number of receptors, meaning without cocaine, your dopamine levels drop to below the norm.
Withdrawal symptoms are the complete opposite, leading to a dependency on the drug which causes far more damage than the effects of the drug itself.
False, you'd have less pressure if you increased the area.
P=F/A, you're dividing by A. If you say, doubled A, you'd have only half the pressure.
