Let M = mass of the skier,
v2 = his speed at the end of the track.
By conservation of energy,
1/2 Mv^2 = 1/2 Mv2^2 + Mgh
Dividing by M,
1/2 v^2 = 1/2 v2^2 + gh
Multiplying by 2,
v^2 = v2^2 + 2gh
Or v2^2 = v^2 - 2gh
Or v2^2 = 4.8^2 - 2 * 9.8 * 0.46
Or v2^2 = 23.04 - 9.016
Or v2^2 = 14.024 m^2/s^2-----------------------------(1)
In projectile motion, launch speed = v2
and launch angle theta = 48 deg
Maximum height
H = v2^2 sin^2(theta)/(2g)
Substituting theta = 48 deg and value of v2^2 from (1),
H = 14.024 * sin^2(48 deg)/(2 * 9.8)
Or H = 14.024 * 0.7431^2/19.6
Or H = 14.024 * 0.5523/19.6
Or H = 0.395 m = 0.4 m after rounding off
Ans: 0.4 m
The answer in this question is 0.4 m
Answer:
This conveyor belt should be connected to fixed pulleys in case their total effort is less than the load. But if it's not that, the belt should be connected to movable pulleys.
Explanation:
<h2>
Velocity of 0.2 kg ball is 0.17 m/s</h2>
Explanation:
Let the mass of balls be m and M.
Initial velocity ball 1 be u₁, ball 2 be u₂
Final velocity ball 1 be v₁, ball 2 be v₂
Initial momentum = m x u₁ + M x u₂ = 0.2 x 0.3 + 0.1 x 0.1 = 0.07 kgm/s
Final momentum = m x v₁ + M x v₂ = 0.2 x v₁ + 0.1 x 0.36 = 0.2v₁ + 0.036
We have momentum conservation
Initial momentum = Final momentum
0.07 = 0.2v₁ + 0.036
v₁ = 0.17 m/s
Velocity of 0.2 kg ball is 0.17 m/s
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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Learn more about convergent, divergent and transforming boundaries at
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<u>A hot stop</u> is the feature that <span>may form in an intraplate area over a rising plume of hot mantle material.
According to a dictionary, this is the definition of a hot spot:
</span>A place deep within the Earth where hot<span> magma rises to just underneath the surface, creating a bulge and volcanic activity.</span>
