Answer: 16.8 m
Explanation:
The motion of the lemming is a projectile motion, consisting of two independent motions:
- on the horizontal (x) axis, a uniform motion, with constant speed v = 2.87 m/s
- on the vertical (y) axis, an accelerated motion, with constant acceleration (downward)
The lemming lands in the water at x = 5.32 m away from the bas of the cliff, so we can calculate the time it takes to hit the water:
And now, by considering the motion on the vertical direction:
we can find the height of the cliff (h) by requiring that y(t)=0:
The acceleration of the car is determined as 0.626 m/s².
<h3>
What is acceleration?</h3>
The acceleration of an object is the change in velocity of the object with time.
a = Δv/t
where;
- Δv is change in velocity
- t is the time of motion
Substitute the given parameters and solve for the acceleration.
v = 14 mph = 6.258 m/s
a = (6.258 m/s) / (10 s)
a = 0.626 m/s²
Thus, the acceleration of the car is determined as 0.626 m/s².
Learn more about acceleration here: brainly.com/question/14344386
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Answer:
μ = tan θ
Explanation:
For this exercise let's use the translational equilibrium condition.
Let's set a datum with the x axis parallel to the plane and the y axis perpendicular to the plane.
Let's break down the weight of the block
sin θ = Wₓ / W
cos θ = W_y / W
Wₓ = W sin θ
W_y = W cos θ
The acrobat is vertically so his weight decomposition is
sin θ = = wₐₓ / wₐ
cos θ = wₐ_y / wₐ
wₐₓ = wₐ sin θ
wₐ_y = wₐ cos θ
let's write the equilibrium equations
Y axis
N- W_y - wₐ_y = 0
N = W cos θ + wₐ cos θ
X axis
Wₓ + wₐ_x - fr = 0
fr = W sin θ + wₐ sin θ
the friction force has the formula
fr = μ N
fr = μ (W cos θ + wₐ cos θ)
we substitute
μ (Mg cos θ + mg cos θ) = Mgsin θ + mg sin θ
μ =
μ = tan θ
this is the minimum value of the coefficient of static friction for which the system is in equilibrium.
1. this is not physics this is anatomy.
2.circulatory system is the flow of blood through the vena cava, right artrium, right ventricle, pulmonary valve, pulmonary ventricle, left atrium, left ventricle, arteries, capillaries, veins vena cava. digestive system is food through the esophagus, stomach, etc. no direct relation.