Answer:
0.68 m
Explanation:
α = dL / L1*(dT)
dL = L1(dT) * α
Initial length, L1 = 100
Chang in Length =dL
α linear expansivity ; dL = change in length ; dT = change in temperature ; L1 = initial length
α of iron rod = 1.13 * 10^-5 k
dL = 100(40 - 10) * 1.13 * 10^-5
dL = 100(30) * 1.13 * 10^-5
dL = 3000 * 1.13 * 10^-5
dL = 3390 * 10^-5
dL = 0.0339 m
Error :
Distance measured = 2km = (2 * 1000) = 2000m
[Distance measured / (initial length + change in length)] × change in length
Error = (2000 / (100 + 0.0339)) * 0.0339
Error = (2000 / 100.0339) * 0.0339
Error = 19.993222 * 0.0339
Error = 0.6777702
Error = 0.68 m
Explanation:
Mass of the Earth is equal to,

Any number can be written in the form of scientific notation as :

m is the real number
n is any integer
Mass of the earth can be written in the form of scientific notation as :

Here,
m = 5.97
n = 24
Hence, this is the required solution.
Answer:

Explanation:
F₁ = Force on one side of the jack
A₁ = Area of cross-section of one side of the jack
F₂ = Force on second side of the jack
A₂ = Area of cross-section of second side of the jack = 2 A₁
Using pascal's law




Answer:
a) 
b) 
c) 
Explanation:
From the exercise we know that the ball strikes the building 16m away and its final height is 8m more than the initial
Being said that, we can calculate the initial velocity of the ball
a) First we analyze its horizontal motion


(1)
That would be our first equation
Now, we need to analyze its vertical motion


Knowing
in our first equation (1)


Solving for t

So, the ball takes to seconds to get to the other building. Now we can calculate its <u>initial velocity</u>

b) To find the <u>magnitude of the ball just before it strikes the building</u> we need to calculate its x and y components


So, the magnitude of the velocity is:

c) The <u><em>direction of the ball</em></u> is:

Answer:
T = 60 s
Explanation:
There are 6 poles on the track which are equally spaced
so the angular separation between the poles is given as


so the angular speed of the train is given as


now we have time period of the train given as


