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noname [10]
4 years ago
9

Betty weighs 420 n and she is sitting on a playground swing seat that hangs 0.40 m above the ground. tom pulls the swing back an

d releases it from rest when the seat is 1.0 m above the ground. how fast is betty moving when the swing passes through its lowest position
Physics
1 answer:
Svet_ta [14]4 years ago
8 0
Weight = mass * gravity
420 = mass * 9.8
mass of Betty = 42.857 kg

Difference in height = 1 - 0.45 = 0.55 meters

Total energy = Kinetic energy + potential energy

At the highest point, the kinetic energy is zero while the potential energy is maximum, therefore, we can get the total energy as follows:
Total energy = 0 + mgh
Total energy = 42.857*9.8*0.55 = 231 Joules

At the lowest point, the potential energy is zero while the kinetic energy is maximum. Therefore:
Total energy = 0.5 * m * (v)^2 + 0
231 = 0.5 * (42.857) * (velocity)^2
(velocity)^2 = 10.78
velocity = 3.28 meters/sec
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A boat sails south with the help of a wind blowing in the direction s36°e with magnitude 300 lb. find the work done by the wind
olga nikolaevna [1]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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6 0
3 years ago
Adrian 80.0kg jumps out of an airplane at an altitude of 1.00×10^3m. After his parechute deploys, the adrian lands with a veloci
Vera_Pavlovna [14]

-- Before Adrian left the airplane, his gravitational potential energy was

(mass) x (gravity) x (height) = (80kg) x (9.81m/s²) x (1,000m) = 784,800 joules


-- When he reached the ground, his kinetic energy was

(1/2) x (mass) x (speed)² = (40kg) x (5m/s)² = 1,000 joules


-- Between the airplane and the ground, the Adrian lost

(784,800 joules) - (1,000 joules) = 783,800 joules 

Where did all that energy go ?
Energy never just disappears.  If it's missing, it had to go somewhere.

The Adrian used  783,800 joules of energy to push air our of his way
so that he could continue his parachute jump, and reach the ground
in time to be home for dinner. 
4 0
3 years ago
Young's double slit experiment is one of the quintessential experiments in physics. The availability of low cost lasers in recen
ddd [48]

Answer:

Fringe width = 21 mm

Explanation:

Fringe width is given by the formula

\beta = \frac{\Lambda L}{d}

here we know that

\Lambda = 564 nm

L = 4.0 m

d = 0.108 mm

now from above formula we will have

\beta = \frac{(564 \times 10^{-9})(4.0 m)}{0.108\times 10^{-3}}

\beta = 0.021 meter

so fringe width on the wall will be 21 mm

7 0
3 years ago
Steam enters an adiabatic turbine at 6 MPa, 600 ℃, and 80 m/s and leaves at 50 kPa, 100 ℃, and 140 m/s. If the power output of t
lisabon 2012 [21]

Answer:

W(r,out) = 5.81 MW

\eta = 86.1 %

Explanation:

we use here steam table for get value of h1, s1 etc

so use for 6MPa and 600 degree

Enthalphy of steam h1 = 3658.8 kJ/kg

Entropy of steam s 1 is = 7.1693 kJ /kg.K

and

for 50 kPa and 100 degree

Enthalphy of steam h2 = 2682.4 kJ/kg

Entropy of steam s2 is = 7.6953 kJ /kg.K

so we use here energy balance equation that is

m\times(h1 + \frac{v1^2}{2} = m\times(h2 + \frac{v2^2}{2} + W(out)      ..............1

put here value and we get m

m = \frac{5\times1000}{3658.8-2682.4+\frac{80^2-140^2}{2}\times \frac{1}{1000}}  

solve it we get

m = 5.156 kg/s

so by energy balance equation

m\psi1 = m\psi2 + W(r,out)

W(r,out) = m(\psi1 -\psi2)

W(r,out) = h1 - h2 + ΔKE + ΔPE - To(s1-s2)

W(r,out) = m[h1-h2+ \frac{v1^2-v^2}{2}- To (s1-s2)

W(r,out) = W(a,out) - m.To.(s1-s2)     ........................2

put here value

W(r,out) = 5000 - ( 5.156 × (25 + 273) ×( 7.1693 - 7.6953)

W(r,out) = 5908.19 = 5.81 MW

and

second law deficiency is

\eta = \frac{W(a,out)}{W(r,out)}     ..............................3

put here value

\eta = \frac{5}{5.81}

\eta = 86.1 %

6 0
3 years ago
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shtirl [24]
The incline is frictionless, this means we can use the conservation of energy: the initial kinetic energy of the block
K= \frac{1}{2}mv^2
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U=mgh
where h is the height reached by the block as it stops. By equalizing the two formulas, we get
\frac{1}{2} mv^2=mgh
h= \frac{v^2}{2g}= \frac{(12.0 m/s)^2}{2(9.81 m/s^2)} =7.3 m

However, this is the maximum height reached by the block. The distance along the surface of the plane is given by:
d= \frac{h}{\sin 20^{\circ}}= \frac{7.3 m}{\sin 20^{\circ}}=21.3 m
4 0
4 years ago
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