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yan [13]
3 years ago
5

If the swan must reach a speed of 4.7 m/s to take off and it accelerates from rest at a constant rate of 0.45 m/s2, how far, in

meters, will it travel before becoming airborne
Physics
1 answer:
mariarad [96]3 years ago
6 0

Answer:

24.54 m

Explanation:

From the following equation of motion, we can calculate the time it takes for the swan to reach the speed of 4.7m/s from rest at an acceleration of 0.45 m/s2:

v = v_0 + at

where v is the final speed, v0 = 0 m/s is the initial speed at rest, a is the acceleration and t is the time it takes

4.7 = 0 + 0.45t

0.45t = 4.7

t = 4.7 / 0.45 = 10.44 s

And the distance it covered within 10.44 s is

s = at^2/2 = 0.45*10.44^2/2 = 24.54 m

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A car wheel turns through 277° in 10.7 s. Calculate the angular speed of the wheel.
slava [35]

Answer:

The angular speed of the wheel is 0.452 rad/s

Explanation:

The angle through which the car wheel turns, Δθ = 277° = 277/360 × 2·π radian

The time it takes for the car wheel to turn, Δt = 10.7 s

The angular speed, ω is given by the following equation;

Angular \ speed = \dfrac{Change \ in \ angular \ rotation }{Change \ in \ time} = \dfrac{\Delta \theta}{\Delta t}

Substituting the known values for Δθ and Δt gives;

Angular \ speed = \dfrac{\dfrac{277 ^{\circ}}{360 ^{\circ }  }  \times 2 \times \pi \ radian}{10.7 \ seconds} \approx 0.452 \ rad/s

The angular speed of the wheel = 0.452 rad/s

3 0
3 years ago
When the compressor of an air conditioner starts up, it draws a current of 50 A. If the start-up time is 0.60 s, then the amount
7nadin3 [17]

Answer:

30 C

Explanation:

Given:

Current flowing in the circuit (I) = 50 A

Start-up time (t) = 0.60 s

Now, we know that, charge drawn in through a cross sectional area of the circuit is given as:

q=It

Where, 'q' is the amount of charge drawn, 'I' is the current and 't' is the start-up time.

Now, plug in 50 A for 'I', 0.60 s for 't' and solve for 'q'. This gives,

q=50\ A\times 0.60\ s\\\\q=30\ C

Therefore, the amount of charge drawn in the circuit at the start-up of the compressor of an air conditioner is 30 C.

6 0
3 years ago
How much work is done when a 25-N horizontal force is applied to a 10-kg box, causing it to move 5 meters?
Katarina [22]

Answer:

W=50*sin(25)

Explanation:

W=F*D*sin(25)

W=10*5*sin(25)

W=50*sin(25)

8 0
3 years ago
3) Find the missing parts of the triangle (angle and/or sides).<br>​
oee [108]

Answer:

44.4°

Explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

You're given an unknown angle, the adjacent side to that angle, and the hypotenuse.  So use cosine.

Cosine = Adjacent / Hypotenuse

cos A = 10 / 14

A = cos⁻¹(5/7)

A ≈ 44.4°

8 0
3 years ago
Lexy throws a dart with an initial velocity of 25m/a at an angle of 60 degrees relative to the ground. What is the approximate v
butalik [34]
Initial velocity = 25 m/s, angle 60°

sin (60°) = opposed leg / hypothenuse = Vertical velocity / Initial velocity

=> Vertical velocity = initial velocity * sin (60°) = 25 m / s * 0.866 = 21.65 m/s
7 0
3 years ago
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