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marshall27 [118]
3 years ago
5

A golfer hits a 42 g ball, which comes down on a tree root and bounces straight up with an initial speed of 15.6 m/s. Determine

the height the ball will rise after the bounce. Show all your work.
Physics
2 answers:
nevsk [136]3 years ago
5 0

Answer:

12.2 m

Explanation:

Given:

v₀ = 15.6 m/s

v = 0 m/s

a = -10 m/s²

Find: Δy

v² = v₀² + 2aΔy

(0 m/s)² = (15.6 m/s)² + 2 (-10 m/s²) Δy

Δy = 12.2 m

Komok [63]3 years ago
4 0

\LARGE{ \boxed{ \rm{ \green{Answer:}}}}

Given,

  • The initial speed is 15.6 m/s
  • The mass of the ball is 42g = 0.042kg

Finding the initial kinetic energy,

\large{ \boxed{ \rm{K.E. =  \frac{1}{2}m {v}^{2}}}}

⇛ KE = (1/2)mv²

⇛ KE = (1/2)(0.042)(15.6)²

⇛ KE = 5.11 J

|| ⚡By conservation of energy, the potential energy at the highest point will also be 5.11 J, since there is no kinetic energy at the highest point because the ball is not moving (we neglect energy lost due to air resistance, heat, sound, etc.) ⚡||

So, we have:

\large{ \boxed{ \rm{P.E. = mgh}}}

⇛ h = PE/(mg)

⇛ h = 5.11 J /(0.042 × 9.8)

⇛ h = 12.41 m

✏<u>The</u><u> </u><u>ball</u><u> </u><u>will</u><u> </u><u>rise</u><u> </u><u>upto</u><u> </u><u>a</u><u> </u><u>height</u><u> </u><u>of</u><u> </u><u>12.41</u><u> </u><u>m</u>

<u>━━━━━━━━━━━━━━━━━━━━</u>

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3 years ago
A small airplane is sitting at rest on the ground. Its center of gravity is 2.58 m behind the nose of the airplane, the front wh
otez555 [7]

Answer:

The percentage of the weight supported by the front wheel is  A= 19.82 %

Explanation:

From the question we are told that

   The center of gravity of the plane to its nose  is  z = 2.58 m

    The distance of the front wheel of the plane to  its nose is l = 0.800\ m

     The distance of the main wheel of the plane to its nose is e =  3.02 \ m

At equilibrium  the Torque about the nose of the airplane is mathematically represented as

          mg (z- l) -  G_B *(e - l) = 0

Where m is the mass of the airplane

          G_B is the weight of the airplane supported by the main wheel  

       So  

             G_B =\frac{mg (z-l)}{(e - l)}

Substituting values

            G_B =\frac{mg (2.58 -0.8 )}{(3.02  - 0.80)}

           G_B = 0.8018 mg

Now the weight supported at the frontal wheel is mathematically evaluated as

           G_F = mg - G_B

Substituting values      

       G_F = mg - 0.8018mg    

      G_F = (1 - 0.8018) mg      

     G_F = 0.1982 mg    

Now the weight of the airplane is  =  mg

Thus percentage of this weight supported by the front wheel is  A = 0. 1982 *100 = 19.82 %

7 0
3 years ago
For a body falling freely from rest​ (disregarding air​ resistance), the distance the body falls varies directly as the square o
jasenka [17]

Answer:

The answer to the question is

The object would fall 57.625 m in the first 5 seconds

Explanation:

To solve the question, we note that

the height of fall = 490 ft = ‪149.352‬ m

Time to touch the ground = 7 seconds

We are required to find out how far the object falls in the first 5 seconds

We apply the relation

S = u·t + 0.5×g·t ² = We then have

‪149.352‬ = U×7+0.5*9.81*49 From where u = -13 m/s

Therefore to find how far it falls in the first 5 seconds, we have

-13*5 + 0.5*9.81*25 = 57.625 m

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3 years ago
Read 2 more answers
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