Answer:
e. The torque is the same for all cases.
Explanation:
The formula for torque is:
τ = Fr
where,
τ = Torque
F = Force = Weight (in this case) = mg
r = perpendicular distance between force an axis of rotation
Therefore,
τ = mgr
a)
Here,
m = 200 kg
r = 2.5 m
Therefore,
τ = (200 kg)(9.8 m/s²)(2.5 m)
<u>τ = 4900 N.m</u>
<u></u>
b)
Here,
m = 20 kg
r = 25 m
Therefore,
τ = (20 kg)(9.8 m/s²)(25 m)
<u>τ = 4900 N.m</u>
<u></u>
c)
Here,
m = 8 kg
r = 62.5 m
Therefore,
τ = (8 kg)(9.8 m/s²)(62.5 m)
<u>τ = 4900 N.m</u>
<u></u>
Hence, the correct answer will be:
<u>e. The torque is the same for all cases.</u>
Density = Mass / Volume.
Volume = Mass / Density = 986 / 16 = 61.625 cm^3.
Convergent boundaries are caused by the collision of two plates and can originate volcanoes. Transforming boundaries produce fractures by displacement. <em>The correct option is D. Type A boundaries have fewer volcanoes. </em>
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The crust -the outermost layer of the earth- is divided into many plates that move over the mantle.
These plates are limited by three types of ridges or borders that differ in the movement they produce.
Boundaries types:
I. Divergent:
- This boundary occurs when two plates separate and molten material rises from the mantle creating a new crust.
- The hot material creates a new seabed between the separating plates, expanding the sea bottom.
II. Convergent.
- Collision area between two plates.
- Two oceanic plates might collide, or one oceanic plate with a continental one.
- In this last case, the oceanic crust sinks under the continental plate, and magma rises to the surface by crevices.
- The thicker and older plate subduces under the other plate.
- Collisions create volcanic arches and continental arches.
III. Transforming.
- The plates slide laterally with each other, and they are usually called faults.
- It is associated, in general, with the oceanic ridge, although it might also occur in the continental plate.
- No rocky material is either destroyed or formed.
- When the plates move and produce a displacement of one transforming limits from side to side, earthquakes occur.
- The movement breaks the crust and originates pronounced fractures.
In the attached images, we can see
- image A representing transforming boundaries,
- image B representing Convergent boundaries.
Image B is the one that can originate volcanoes because transforming boundaries only produce fractures.
So the correct option would be D.
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Answer:
The height reached by the dart in the second shot is (4 H).
Explanation:
It is given that, a spring-loaded toy dart gun is shot to a height h. In this case, all the potential energy stored in the spring is converted to potential gravitational energy at the maximum height.
........(1)
At the second shot, the spring is compressed twice as far before firing. x' = 2x

.........(2)
h is the height reached by the dart in the second shot.
Dividing equation (1) and (2) as:

h = 4H
So, the height reached by the dart in the second shot is (4 H). Hence, this is the required solution.