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Anika [276]
3 years ago
6

A golf ball rolls off a horizontal cliff with an initial speed of 11.4 m/s. The ball falls a vertical distance of 17.7 m into a

lake below. (a) How much time does the ball spend in the air? (b) What is the speed v of the ball just before it strikes the water?
Physics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

time is 1.90 second

speed is 21.83 m/s

Explanation:

given data

initial speed u = 11.4 m/s

distance s = 17.7 m

to find out

time and speed

solution

we know formula for time that is

time = √2S/g     .........................1

here s is distance so put all value

time = √2(17.7)/9.8

time = 1.90 second

and

for speed formula is

speed = √(u1²+u2²)    .........................2

here horizontal velocity  u1 = 11.4 m/s

and vertical velocity u2 = gt = 9.8×1.90 = 18.62 m/s

so from equation 2

speed = √(u1²+u2²)

speed = √(11.4²+18.62²)

speed = 21.83 m/s

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The value of the force, F₀, at equilibrium is equal to the horizontal

component of the tension in string 2.

Response:

  • The value of F₀ so that string 1 remains vertical is approximately <u>0.377·M·g</u>

<h3>How can the equilibrium of forces be used to find the value of F₀?</h3>

Given:

The weight of the rod = The sum of the vertical forces in the strings

Therefore;

M·g = T₂·cos(37°) + T₁

The weight of the rod is at the middle.

Taking moment about point (2) gives;

M·g × L = T₁ × 2·L

Therefore;

T_1 = \mathbf{\dfrac{M \cdot g}{2}}

Which gives;

M \cdot g = \mathbf{T_2 \cdot cos(37 ^{\circ})+ \dfrac{M \cdot g}{2}}

T_2 = \dfrac{M \cdot g - \dfrac{M \cdot g}{2}}{cos(37 ^{\circ})}  = \mathbf{\dfrac{M \cdot g}{2 \cdot cos(37 ^{\circ})}}}

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Which gives;

F_0 = \dfrac{M \cdot g \cdot sin(37 ^{\circ})}{2 \cdot cos(37 ^{\circ})}} = \dfrac{M \cdot g \cdot tan(37 ^{\circ})}{2}  \approx  \mathbf{0.377  \cdot M \cdot g}

  • F₀ ≈ <u>0.377·M·g</u>

<u />

Learn more about equilibrium of forces here:

brainly.com/question/6995192

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Answer:

The height of the cliff is 90.60 meters.

Explanation:

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Initial horizontal speed of the stone, u = 10 m/s

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