A student is standing 8 m from a roaring truck engine that is measured at 20 dB. The student moves 4 m closer to
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Answer:
The angle is
Explanation:
From the question we are told that
The distance of the dartboard from the dart is
The time taken is
The horizontal component of the speed of the dart is mathematically represented as
where u is the the velocity at dart is lunched
so
substituting values
=>
From projectile kinematics the time taken by the dart can be mathematically represented as
=>
=>
Answer:
The maximum length during the motion is
Explanation:
From the question we are told that
The mass is
The vertical spring length is
The unstretched length is
The initial speed is
The new length of the spring
The spring constant k is mathematically represented as
Where F is the force applied
y is the difference in weight which is
The negative sign is because the displacement of the spring (i.e its extension occurs against the force F)
Now substituting values accordingly
The elastic potential energy is given as
where D is this the is the displacement
Since Energy is conserved the total elastic potential energy would be
Substituting value accordingly
So to obtain total length we would add the unstretched length
So we have