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Kaylis [27]
3 years ago
5

A 100g object begins falling from a height of 5 meters. If g, the acceleration of gravity, is 10 m/s2, how long do you calculate

it will be before the object reaches the ground? (Recall the formula for distance with constant acceleration from zero speed is ½at2.) 0.5 s 1.0 s 5.0 s 10 s 50 s
Physics
1 answer:
zmey [24]3 years ago
7 0

Answer:

The correct option is b: 1.0 s.

Explanation:

To find the time (t) at which the object reaches the ground we need to use the next equation:

y_{f} = y_{0} + v_{0}t - \frac{1}{2}gt^{2}   (1)

Where:

y_{f}: is the final height = 0                    

y_{0}: is the initial height = 5 m

v_{0}: is the initial speed = 0 (it falls from rest)

g: is the gravity = 10 m/s²

By entering the above values into equation (1) we have:

0 = 5m - \frac{1}{2}10 m/s^{2}t^{2}

t = \sqrt{\frac{2*5 m}{10 m/s^{2}}} = 1 s

Therefore, the correct option is b: 1.0 s.

I hope it helps you!    

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6 0
1 year ago
A rod bent into the arc of a circle subtends an angle 2θ at the center P of the circle (see below). If the rod is charged unifor
Zigmanuir [339]

Answer:

Qsinθ/4πε₀R²θ

Explanation:

Let us have a small charge element dq which produces an electric field E. There is also a symmetric field at P due to a symmetric charge dq at P. Their vertical electric field components cancel out leaving the horizontal component dE' = dEcosθ = dqcosθ/4πε₀R² where r is the radius of the arc.

Now, let λ be the charge per unit length on the arc. then, the small charge element dq = λds where ds is the small arc length. Also ds = Rθ.

So dq = λRdθ.

Substituting dq into dE', we have

dE' = dqcosθ/4πε₀R²

= λRdθcosθ/4πε₀R²

= λdθcosθ/4πε₀R

E' = ∫dE' = ∫λRdθcosθ/4πε₀R² = (λ/4πε₀R)∫cosθdθ from -θ to θ

E' = (λ/4πε₀R)[sinθ] from -θ to θ

E' = (λ/4πε₀R)[sinθ]

= (λ/4πε₀R)[sinθ - sin(-θ)]

= (λ/4πε₀R)[sinθ + sinθ]

= 2(λ/4πε₀R)sinθ

= (λ/2πε₀R)sinθ

Now, the total charge Q = ∫dq = ∫λRdθ from -θ to +θ

Q = λR∫dθ = λR[θ - (-θ)] = λR[θ + θ] = 2λRθ

Q = 2λRθ

λ = Q/2Rθ

Substituting λ into E', we have

E' = (Q/2Rθ/2πε₀R)sinθ

E' = (Q/θ4πε₀R²)sinθ

E' = Qsinθ/4πε₀R²θ where θ is in radians

 

5 0
3 years ago
When Momentum is conserved it is called ________ .​
mestny [16]

Answer:

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Explanation:

6 0
2 years ago
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6) A boat crosses a river at a constant engine speed of 2.0 m/s under pointed Directly west. The river runs directly south at 2.
TEA [102]

Answer:ligma ;)

Explanation:

8 0
2 years ago
A fighter bomber is making a bombing run flying horizontally at 500 knots (256m/s) at an altitude of 100.0m.
Jobisdone [24]

Answer:

<em>(a) t = 4.52 sec</em>

<em>(b) X = 1,156.49 m</em>

Explanation:

<u>Horizontal Launching </u>

If an object is launched horizontally, its initial speed is zero in the y-coordinate and the horizontal component of the velocity v_o remains the same in time. The distance x is computed as .

\displaystyle x=v_o.t

(a)

The vertical component of the velocity v_y starts from zero and gradually starts to increase due to the acceleration of gravity as follows

v_y=gt

This means the vertical height is computed by

\displaystyle h=h_o-\frac{gt^2}{2}

Where h_o is the initial height. Our fighter bomber is 100 m high, so we can compute the time the bomb needs to reach the ground by solving the above equation for t knowing h=0

\displaystyle t=\sqrt{\frac{2h_o}{g}}

\displaystyle t=\sqrt{\frac{2(100)}{9.8}}=4.52\ sec

(b)

We now compute the horizontal distance knowing v_o=256\ m/s

\displaystyle x=(256).(4.52)

X=1,156.49\ m

4 0
3 years ago
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