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sergejj [24]
3 years ago
10

Two construction cranes are each able to lift a maximum load of 20000 N to a height of 250 m. However, one crane can lift that l

oad in 1 6 the time it takes the other. How much more power does the faster crane have?
Physics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

Explanation:

Given

Load W=20000\ N

height to which load is raised h=250\ m

Another crane take \frac{1}{6} th time to lift the load

Energy required required to lift the Weight

E=W\times h

E=20000\times 250

E=5,000,000\ J

Suppose P_1 and P_2 is the Power required to lift the weight in t and \frac{t}{6} time

E=P_1\times t

E=P_2\times \frac{t}{6}

P_1\times t=P_2\times \frac{t}{6}

thus

P_2=6P_1

Second Crane requires 6 times  more power than the slow crane                                              

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You have two steel solid spheres. sphere 2 has twice the radius of sphere 1. part a by what factor does the moment of inertia i2
sertanlavr [38]

Answer:

moment of inertia of sphere 2 is 32 times the moment of inertia of sphere 1

Explanation:

The moment of inertia of a solid sphere about its axis is

I=\frac{2}{5}MR^2

where

M is the mass of the sphere

R is the radius of the sphere

The mass of the sphere can be rewritten as

M=\rho V

where

\rho is the density

V=\frac{4}{3}\pi R^3 is the volume of the sphere

So the moment of inertia becomes

I=\frac{2}{5}(\frac{4}{3}\pi \rho R^3)R^2 = \frac{8}{15}\pi \rho R^5

Calling R the radius of sphere 1, the moment of inertia of sphere 1 is

I_1=\frac{8}{15}\pi \rho R^5

where \rho is the density of steel, since the sphere is made of steel

Sphere 2 has twice the radius of sphere 1, so

R' = 2R

and so its moment of inertia is

I_2=\frac{8}{15}\pi \rho R'^5=\frac{8}{15}\pi \rho (2R)^5=32(\frac{8}{15}\pi \rho R^5)=32I_1

So, the moment of inertia of sphere 2 is 4 times the moment of inertia of sphere 1.

4 0
3 years ago
Distinguish between directly proportional and inversely proportional with an example of each
RideAnS [48]

Consider two variables said to be "inversely proportional" to each other. If all other variables are held constant, the magnitude or absolute value of one inversely proportional variable decreases if the other variable increases, while their product (the constant of proportionality k) is always the same.

4 0
3 years ago
Which of these forms of radiation passes most easily through the disk of the Milky Way?
Rama09 [41]
<h2>Answer: 3 - infrared light</h2>

Explanation:

<u>There are certain areas of the Milky Way that cannot be observed using the visible range of the electromagnetic spectrum</u> (this includes blue light and red light). This is because these areas are covered or hidden behind columns of interstellar dust and dark matter.

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A particle moving at 10 m/s along the x-axis collides elastically with another particle moving at 5.0 m/s in the same direction
drek231 [11]

Explanation:

It is given that,

Velocity of particle 1, u₁ = 10 m/s

Velocity of particle 2, u₂ = 5 m/s

Let v₁ and v₂ are the final speed of both particles after the collision. Applying the conservation of momentum as :

mu_1+mu_2=mv_1+mv_2

15=v_1+v_2......................(1)

For an elastic collision, the coefficient of restitution is equal to 1 as :

\dfrac{v_2-v_1}{u_1-u_2}=1

\dfrac{v_2-v_1}{5}=1

{v_2-v_1}=5................(2)

On solving equation (1) and (2), we get,

v_1=5\ m/s

v_2=10\ m/s

So, the speeds of particle 1 and particle 2 after the collision is 5 m/s and 10 m/s respectively. Hence, this is the required solution.

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4 0
3 years ago
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