The average velocity is 20 km/h west
Explanation:
The velocity of an object is given by:

where
d is the displacement
t is the time elapsed
The displacement of an object is a vector connecting the initial position and the final position of motion.
In this problem, the car moved
40 km East
80 km West
Therefore, the displacement is given by (taking West as positive direction)
West
The time elapsed is
t = 2 h
Therefore, the average velocity is
in the West direction.
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Answer:
393.6m/s
Explanation:
Given parameters:
Acceleration = 8.5m/s²
Distance = 300m
Final velocity = 400m/s
Unknown:
Initial velocity = ?
Solution:
To solve this problem, we use the expression below;
v² = u² + 2as
v is the final velocity
u is the initial velocity
a is the acceleration
s is the distance
So;
v² - 2as = u²
u² = v² - 2as
u² = 400² - (2 x 8.5 x 300)
u = 393.6m/s
You would end up with a brown/black color depending on how much of each pigment was added! Hope this helps.
For the position of button we can use force balance as
Friction Force = Centripetal force
so here we will have

here we know that
R = radius of circle where button is placed

f = 35 rev/min


now from above equation


so friction coefficient will be 0.33
Answer:
105.1N
Explanation:
According to the newton second law

Since the acceleration is zero, then;

Since;

Given the following
mass of ladder m = 14kg
acceleration due to gravity g = 9.8m/s²
θ = 50°
Substitute

Hence the magnitude of the friction force (in N) exerted on the ladder in the point of contact with the horizontal surface is 105.1N