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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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Which is the larger value 5 * 10^5 or 3* 10^7
PSYCHO15rus [73]

Explanation:

5x 10^5= 500,000

3x 10^7= 30,000,000

so the second one

5 0
3 years ago
Two positive charges of 6.0 x 10^-6 C are separated by 0.50 m. Calculate the force of electrical attraction
SpyIntel [72]

Answer:

Force between two charges is given as 1.296 N

Explanation:

As we know that the two charges will attract or repel each other when they are placed near to each other

Here we know that electrostatic force is given as

F = \frac{kq_1 q_2}{r^2}

here we have

q_1 = q_2 = 6 \times 10^{-6} C

distance between two charges is given as

r = 0.50 m

so we have

F = \frac{(9\times 10^9)(6 \times 10^{-6})^2}{0.50^2}

F = 1.296 N

3 0
3 years ago
The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone'
Helen [10]
We can use 3rd equation of motion to find the velocity of the stone just before it strikes the ground.

Height = S = 318 meters
Acceleration = a= 9.8 m/s²
Initial velocity = u = 0
Final velocity = v = ?

According to the 3rd equation of motion:

2aS = v² - u²

2(9.8)(318)=v²

v²=6232.8

⇒

v = 78.95 m/s

So, the velocity rounded of to nearest integer will be 79 meters per second.

Thus, C option is the correct answer
5 0
3 years ago
Pls help meh Kdjdjeidjndiejdididjdjjdidjdjdiejd
Nadya [2.5K]

Answer:

i think b

Explanation:

i'm not sure

6 0
3 years ago
Read 2 more answers
An iron railroad rail is 800 ft long when the temperature is 31°C. What is its length (in ft) when the temperature is −17°C?
natta225 [31]

Answer:

799.54 ft

Explanation:

Linear thermal expansion is:

ΔL = α L₀ ΔT

where ΔL is the change in length,

α is the linear thermal expansion coefficient,

L₀ is the original length,

and ΔT is the change in temperature.

Given:

α = 1.2×10⁻⁵ / °C

L₀ = 800 ft

ΔT = -17°C − 31°C = -48°C

Find: ΔL

ΔL = (1.2×10⁻⁵ / °C) (800 ft) (-48°C)

ΔL = -0.4608

Rounded to two significant figures, the change in length is -0.46 ft.

Therefore, the final length is approximately 800 ft − 0.46 ft = 799.54 ft.

7 0
3 years ago
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