Windmills are used to convert wind energy into a more useful form. In most cases, there are three
1 answer:
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Answer: 109.4 mm
Explanation: <u>Distance</u> is a scalar quantity and it is the measure of how much path there are between two locations. It can be calculated as the product of velocity and time: d = vt
The separation between the two steamrollers is 105 mm or 0.105 m. They collide to each other at the middle of the separation:
location of collision = = 0.0525 m
To reach that point, both steamrollers will have spent
t = 0.04375 s
The fly is travelling with speed of 2.5 m/s. So, at t = 0.04375 s:
d = 2.5*0.04375
d = 0.109375 m
Until it is crushed, the fly will have traveled 109.4 mm.
Answer:
t = 1.09 s.
Explanation:
This is a one-dimensional kinematics question, so the equations of kinematics will be sufficient to solve the question.
This quadratic equation can be solved using determinant.
Of course, we will choose the positive time.
Answer:
The circus performer falls back down to the ground
Explanation:
The question parameters are;
The initial velocity of the circus performer = 21 m/s
The angle in which the performer launches himself = 75° towards the platform
The height of the platform above the ground = 20 m
The horizontal distance of the platform from the springboard = 15 m
The vertical motion of the circus performer is given by the following projectile motion relation;
y = y₀ + v₀·sinθ₀t-1/2·g·t²
Where;
y = Height reached by the circus performer
y₀ = Initial height of the the circus performer (the springboard) = 0 m
v₀ = Initial velocity of the the circus performer = 21 m/s
θ₀ = The angle with which the circus performer launches himself = 75°
t = The time of ,light of the circus performer
g = The acceleration due to gravity
Therefore, when the height is 20 m, we have;
20 = 21*sin(75)*t - 1/2*9.81*t²
Which gives;
21*sin(75)*t - 1/2*9.81*t² - 20 = 0
Factorizing using a graphing calculator, gives;
t = 1.623 or t = 2.513
Therefore, the circus performer passes the 20 m mark twice, in his motion, where the first time is when he is on his way up while the second time is when he is on his way down
The horizontal motion of the circus performer is given by the following projectile motion relation;
x = x₀ + v₀*cos(θ₀)* t
Where;
x₀ = The initial position of the circus performer in relation to the final position = 0
Plugging in the value of t when y = 20, we get;
x = 21×cos(75)×1.623 = 8.82 m, which is less than the 15 m platform distance from the spring board
Checking the other time value, we have;
x = 21×cos(75)×2.513 = 13.66 m which is also less than the 15 m platform distance from the spring board
Therefore, the circus performer misses the platform and falls back down to the ground.
