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astraxan [27]
3 years ago
14

A hobby rocket reaches a height of 72.3 meters and lands 111 meters from the launch point

Physics
1 answer:
faust18 [17]3 years ago
8 0
Using the following formulas for projectile motion:

Height, H = ( Vo^2 * sin theta^2 )/g

Range, R = ( Vo^2 * sin 2*theta )/g

Rearranging in terms of Vo^2:

Vo^2 = gH / sin theta^2

Vo^2 = gR / sin 2*theta

Equating the two formulas to each other to solve for the angle theta:

gR / sin 2*theta = <span>gH / sin theta^2
</span>
Substituting the given values:

(9.8)(111) / sin 2*theta = (9.8)(72.3)<span> / sin theta^2
</span>angle = 52.36 degrees

Therefore, the angle of launch is approximately 52.36 degrees.
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On a topographic map, contour lines create a group of concentric, closed loops. Which of the following features could this indic
posledela

Answer:

b. Hill top

Explanation:

On a topographic map, the closed circles are meant to represent a hill. So if the contour lines are creating a group of concentric closed loops then it must be an indication of a hill.

3 0
3 years ago
After food is consumed, chemical nutrients are absorbed into the blood. The blood then carries these nutrients to the body's cel
guapka [62]

Answer:b

Explanation:b

3 0
2 years ago
There is a circuit with 2 resistors in series and a cell of 3.0v.what is the resistance across the first resistor if the current
Marysya12 [62]

Answer:

The resistance of the  first resistor is, R₁ = 10 Ω

Explanation:

Given data,

The potential of the cell v = 3 V

The current through the first resistor, I = 0.2 A

The P.D across the first resistor, v₁ = 2.0 V

Let R₁, and R₂ be the resistance of the resistors,

Since the voltage across the series connection is,

                                   v = v₁ + v₂

Substituting the values

                                    3 V = 2 V + v₂

∴                                       v₂ = 1 V

Hence, the P.D across the second resistor is, v₂ = 1 V

The resistance of the first resistor is,

                                   R₁ = v₁ / I

                                        = 2 V / 0.2 A

                                         = 10 Ω

Hence, the resistance of the  first resistor is, R₁ = 10 Ω

6 0
2 years ago
A wave is traveling at a speed of 18 m/s with a frequency of 3 Hz. A second wave is traveling at a speed of 16 m/s with a freque
Alik [6]

Answer:

2Hz

Explanation:

8 0
3 years ago
(a) Without the wheels, a bicycle frame has a mass of 6.75 kg. Each of the wheels can be roughly modeled as a uniform solid disk
adelina 88 [10]

Answer:

a) Ktotal = 71.85 J

b) Ktotal = 71.85 J

Explanation:

a) The total kinetic energy is that of the total mass of the bicycle plus the rotational kinetic energy of the two wheels. The linear speed of the circumference of the wheels matches the forward speed of the bicycle, so their angular speed is  

ω = v/r

The moment of inertia of one solid disk bicycle wheel is  

I = 0.5*m₂*r²

And the rotational kinetic energy of one wheel is

Kr = 0.5*I*ω² = 0.5*(0.5*m₂*r²)*(v/r)² = 0.25*m₂*v²

The total kinetic energy is then that of the frame and wheels plus the rotational kinetic energy.

Ktotal = 0.5*(m₁ + 2*m₂)*v² + 2*(0.25*m₂*v²)

⇒  Ktotal = 0.5*v²*(m₁ + 3*m₂)

where

m₁ = 6.75 Kg

m₂ = 0.820 kg

v = 3.95 m/s

then

⇒  Ktotal = 0.5*(3.95 m/s)²*(6.75 Kg + 3*0.820 kg)

⇒  Ktotal = 71.85 J

b) We can apply the same equation obtained before

⇒  Ktotal = 0.5*v²*(m₁ + 3*m₂)

where

m₁ = 675 Kg

m₂ = 82.0 kg

v = 0.395 m/s

then

⇒  Ktotal = 0.5*(0.395 m/s)²*(675 Kg + 3*82 kg)

⇒  Ktotal = 71.85 J

3 0
3 years ago
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