Answer:
Explanation:
initial height = 0.5*gt^2 = 0.5*9.8*1.5 = 7.35 m
now,
<em>x - x0 = ut + 1/2at^2
</em>
<em>
</em>
<em>0 - 7.35 = 50sin(30)*t + (1/2)*(-9.8)*t^2
</em>
<em>
</em>
<em>4.9t^2 - 25t - 7.35 = 0
</em>
solving this and taking only the positive value of t
t = (sqrt(76906)+250)/98 or <em>5.3808 secs</em>
a)
s = 50*cos(30 degree)*(sqrt(76906)+250)/98
<h2><u>
s = 232.9959 m or 234 approx.</u></h2>
Answer:
factor that bug maximum KE change is 0.52284
Explanation:
given data
vertical distance = 6.5 cm
ripples decrease to = 4.7 cm
solution
We apply here formula for the KE of particle that executes the simple harmonic motion that is express as
KE = (0.5) × m × A² × ω² .................1
and kinetic energy is directly proportional to square of the amplitude.
so
.............2

= 0.52284
so factor that bug maximum KE change is 0.52284
You must assume that the mass of the rocket and engine remains constant - even though the engine is burning.
You know the engine produces 13.8N for a distance of 14.6m
The total energy expended (work done) by the engine is FxD so you can calculate that
Now - some of that is given to the rocket as kinetic and potential energy, and some is expended against the drag force.
At the peak of its flight ALL the energy given to the rocket is potential energy (its velocity is zero) and that is calculated as mgh
So
Energy given to rocket = mgh
Energy expended by engine = F x D (D= height where engine stops)
Energy 'lost' to drag is the difference between the two values.
Given:
u = 273 m/s, horizontal launch speed
h = 3.27 km = 3270 m, altitude.
v = 0, vertical launch speed
g = 9.8 m/s².
Wind resistance is ignored.
The time, t, for the bomb to reach the ground is given by
0t + (1/2)gt² = h
4.9t² = 3270
t² = 667.3469
t = 25.833 s
The horizontal distance traveled is
273*25.833 = 7052.4 m = 7.0524 km
Answer: 7.05 km
The tangential velocity of the ball is 0.63 m/s.
<h3>
What is tangential speed?</h3>
Tangential speed is the linear component of the speed of any object moving along a circular path.
v = ωr
where;
- v is the tangential speed
- ω is the angular speed (rad/s)
- r is the radius of the circle
At a given radius of the circle = 0.3 m
Let the number of revolution per min = 20 rev/min

v = ωr
v = 2.1 x 0.3
v = 0.63 m/s
Thus, the tangential velocity of the ball is 0.63 m/s.
Learn more about tangential velocity here: brainly.com/question/25780931