Tripling the displacement from equilibrium of an object in simple harmonic motion will change the magnitude of the object’s maxi
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<h2>The hiker will go up to 850 m on the hill</h2>
Explanation:
The total energy gained by the hiker = 140 x 4186 J
This energy is consumed in the potential energy acquired , while climbing up the hill.
The potential energy P.E = mass of hiker x acceleration due to gravity x height
Thus
140 x 4186 = 69 x 10 x h
or h = = 850 m
If the 20% of the total energy is used
the height h₀ = = 170 m
Emily throws the ball at 30 degree below the horizontal
so here the speed is 14 m/s and hence we will find its horizontal and vertical components
vertical distance between them
now we will use kinematics in order to find the time taken by the ball to reach at Allison
here acceleration is due to gravity
now we will have
now solving above quadratic equation we have
now in order to find the horizontal distance where ball will fall is given as
here it shows that horizontal motion is uniform motion and it is not accelerated so we can use distance = speed * time
so the distance at which Allison is standing to catch the ball will be 5.33 m