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AlexFokin [52]
2 years ago
8

A golfer tees off and hits a golf ball at a speed of 31 m/s and at an angle of 35 degrees. What is the vertical velocity compone

nt of the ball
Physics
1 answer:
sp2606 [1]2 years ago
3 0
Hello,

We have the vectorial formula

V = Vxi + Vyj

Where,

Vx = v.Cos(x)

And

vy = v.Sen(x)

We know too:

x = 35°

And

v = 31 m/s

Then we will have:

Vy = v.Sen(x)j

Vy = 31.Sen(35)j

Vy = (17,78 m/s) j
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What is the distance from axis about which a uniform, balsa-wood sphere will have the same moment of inertia as does a thin-wall
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Answer:

D_{s} ≈ 2.1 R

Explanation:

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     I = ∫ r² dm

For bodies with symmetry this tabulated, the moment of inertia of the center of mass

Sphere               Is_{cm} = 2/5 M R²

Spherical shell   Ic_{cm} = 2/3 M R²

The parallel axes theorem allows us to calculate the moment of inertia with respect to different axes, without knowing the moment of inertia of the center of mass

    I = I_{cm} + M D²

Where M is the mass of the body and D is the distance from the center of mass to the axis of rotation

Let's start with the spherical shell, axis is along a diameter

     D = 2R

    Ic = Ic_{cm} + M D²

    Ic = 2/3 MR² + M (2R)²

    Ic = M R² (2/3 + 4)

    Ic = 14/3 M R²

The sphere

    Is =Is_{cm} + M [D_{s}²

    Is = Ic

    2/5 MR² + M D_{s}² = 14/3 MR²

    D_{s}² = R² (14/3 - 2/5)

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3 years ago
The rope of a swing is 3.10 m long. Calculate the angle from the vertical at which a 76.0 kg man must begin to swing in order to
kakasveta [241]

Answer:

The angle from the vertical is 48.72°

Explanation:

Given :

Length of rope l = 3.10 m

Mass of man m = 76 Kg

Mass of car M = 1520 Kg

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According to conservation law,

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   \frac{1}{2} M v^{2} = mgh

We calculate height,

   h = \frac{M v^{2} }{2mg}

   h = \frac{1520(1.01)^{2} }{2\times 75 \times 9.8}                      ( ∵ g = 9.8 \frac{m}{s^{2} } )

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This is the distance of the rope at the bottom,

So we take difference of it.

⇒ 3.10 - 1.05 = 2.05

We can calculate angle between them,

\cos \theta = \frac{2.05}{3.10}  = 0.6597

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Therefore, the angle from the vertical is 48.72°

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