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Elina [12.6K]
3 years ago
12

Batman, whose mass is 89.5 kg, is holding on to the free end of a 13.4 m rope, the other end of which is fixed to a tree limb ab

ove. He is able to get the rope in motion as only Batman knows how, eventually getting it to swing enough that he can reach a ledge when the rope makes a 72.4 ◦ angle with the vertical. The acceleration of gravity is 9.8 m/s 2 . How much work was done against the force of gravity in this maneuver?
Physics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

8.2\times 10^{3} J

Explanation:

L = length of the rope connected = 13.4 m

\theta = Angle made by the rope with the vertical = 72.4°

h = height gained by the batman above the reference point  

Height gained by the batman above the reference point  is given as

h = L(1 - Cos\theta )

m = mass of batman = 89.5 kg

g = acceleration due to gravity = 9.8 ms⁻²

Work done against gravity is same as the gravitational potential energy gained by batman and is given as

W = mgh

W = mgL(1 - Cos\theta )

Inserting the above values

W = (89.5)(9.8)(13.4)(1 - Cos72.4 )

W = 8.2\times 10^{3} J

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How does the generator effect work?​
notsponge [240]

Answer:

The changing magnetic field within the loops of wire creates an electric field that pushes the electrons in the wire through the lamp, briefly lighting it

Explanation:

The GE demonstrates that a voltage, and hence a current, can be generated by plunging a coil of wire into and out of a strong magnet.

7 0
3 years ago
A furlong is an old british unit of length equal to 0.125 mi, derived from the length of a furrow in an acre of ploughed land. a
castortr0y [4]

The speed of light is: c = 3x10^8 m/s <span>

or 

c = 186,000,000 miles/sec = 1.86x10^8 mi/s 

1 furlong = 0.125 mile 

1 fortnight = 2 weeks(7d/wk)(24h/d)(3600s/h) 
= 1209600s = 1.2096x10^6 s 

Therefore, 

c =1.86x10^8 mi/s(1furl/0.125mi)(1.2096x10^6s/fort) 

<span>c = 18x10^14 furlong/fortnight = 18x10^8 Mfurlong/fortnight</span></span>

4 0
3 years ago
Find the density of seawater at a depth where the pressure is 500 atm if the density at the surface is 1100 kg/m^3 . Seawater ha
mixer [17]

The density of seawater at a depth where the pressure is 500 atm is 1124kg/m^3

Explanation:

The relationship between bulk modulus and pressure is the following:

B=\rho_0 \frac{\Delta p}{\Delta \rho}

where

B is the bulk modulus

\rho_0 is the density at surface

\Delta p is the variation of pressure

\Delta \rho is the variation of density

In this problem, we have:

B=2.3\cdot 10^9 N/m^2 is the bulk modulus

\rho_0 =1100 kg/m^3

\Delta p = p-p_0 = 500 atm - 1 atm = 499 atm = 5.05\cdot 10^7 Pa is the change in pressure with respect to the surface (the pressure at the surface is 1 atm)

Therefore, we can find the density of the water where the pressure is 500 atm as follows:

\rho = \rho_0 + \Delta \rho = \rho_0+\frac{\rho_0 \Delta p}{B}=\rho_0 (1+\frac{\Delta p}{B})=(1100)(1+\frac{5.05\cdot 10^7}{2.3\cdot 10^9})=1124kg/m^3

Learn more about pressure in a fluid:

brainly.com/question/9805263

#LearnwithBrainly

7 0
3 years ago
Imagine that you're standing in a large room when a loud noise is made.You begin hearing a series of echoes.Which charactestics
e-lub [12.9K]
The correct is  Reverberation. A reverberation is created when a sound or signal is reflected causing a large number of reflections to build up and then decay as the sound is absorbed by the surfaces of objects in the space – which could include furniture, people, and air. 
5 0
3 years ago
Read 2 more answers
Which best describes the law of conservation of mass? The coefficients in front of the chemicals in the reactants should be base
likoan [24]

Answer:

Explanation:

1. when both sides of the reactants and the products are equal

like h+oh ⇒ h20

hydrogen has 2 atoms on both sides and oxygen  has one  on both sides

2. no they are put to balance the equation

3. nope they are treated equally as all the other states

4. no if u are talking about a formula unit like NaCl for example it is aqueous not each element taken on its own if u are talking about just elements then i said before all states are treated equally

5. yup

6 0
3 years ago
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