Scenario
1 answer:
Answer:
t = 23.255 s, x = 2298.98 m, v_y = - 227.90 m / s
Explanation:
After reading your extensive writing, we are going to solve the approach.
The initial speed of the plane is 250 miles / h and it is at an altitude of 2650 m; In general, planes fly horizontally for launch, therefore this is the initial horizontal speed.
As there is a mixture of units in different systems we are going to reduce everything to the SI system.
v₀ₓ = 250 miles h (1609.34 m / 1 mile) (1 h / 3600 s) = 111.76 m / s
y₀ = 2650 m
Let's set a reference system with the x-axis parallel to the ground, the y-axis is vertical. As time is a scalar it is the same for vertical and horizontal movement
Y axis
y = y₀ + v₀ t - ½ g t²
the initial vertical velocity when the cargo is dropped is zero and when it reaches the floor the height is zero
0 = y₀ + 0 - ½ g t²
t =
t = √(2 2650/ 9.8)
t = 23.255 s
Therefore, for the cargo to reach the desired point, it must be launched from a distance of
x = v₀ₓ t
x = 111.76 23.255
x = 2298.98 m
at the point and arrival the speed is
vₓ = v₀ₓ = 111.76
vertical speed is
v_y = v_{oy} - gt
v_y = 0 - gt
v_y = - 9.8 23.25 555
v_y = - 227.90 m / s
the negative sign indicates that the speed is down
in the attachment we have a diagram of the movement
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Answer:
1350N
Explanation:
The force exerted on the hand would be the momentum divided by the duration of contact.
As the hand is coming to rest, final velocity would be 0
The magnitude of the force would be 1350N
The work done by the ball on a string is 0J if a ball is travelling around as circle with a circumference of 2.0m
We know that circumference or perimeter of circle=2πr where r is the radius of the circle.
So, we have circumference=2m
Therefore,2πr=2
=>r=2/2π
=>r=(1/π) m
Now, we know very well that when a body moves a displacement dx under the action of force, some amount of work is done by the force on the body and that force is given by
W=
where F is defined as the force acting on the body
and dx is the displacement of the body.
On expanding the above formula, we get
=>W=Fdxcosθ where cosθ is the angle between the force and displacement of the body.
Since Tension is actually centripetal force which is acting along the center of the circle where ball displacement is in perpendicular direction to the tension.
It means angle between Tension and ball's displacement is 90°. So,cos90°=0
Therefore, W=Fdxcos90
=>W=0J.
Hence, amount of work done is 0J.
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(Complete question) is:
A ball on a string travels once around a circle with a circumference of 2. 0 m. The tension in the string is 5. 0 N. What amount of work done by the ball on the string?