A normal human being can rotate his neck at maximum angle of 70 degree at one stretch
So here the maximum angle is 70 degree upto which he can see the height
now we will have


now we have

so he is able to see the top at minimum distance of 81.2 m from that gate
Answer:
F = 8066.67 N
Explanation:
The extra force exerted on the bottom of the jug can be expressed as the pressure generated by the cork multiplied by the area of the bottom. We can also obtain the Pressure P by dividing the force F1 applied to the cork by it's area A1.
Thus;
F = PA2 = (F1/A1) x (A2)
F = (F1/(πd1²/4)) x (πd2²/4)
π/4 will cancel out to give;
F = F1(d2/d1)²
F = 150(16.5/2.25)
F = 8066.67 N
Answer:
a) a = 4.9 m/s²
b) a = 1.5 m/s²
Explanation:
no friction
F = ma
gsinθ = ma
a = gsinθ
a = 9.8sin30
a = 4.9 m/s²
friction
gsinθ - μmgcosθ = ma
a = g(sinθ - μcosθ)
a = 9.8(sin30 - 0.4cos30)
a = 1.5051...
Answer:
Explanation:
We shall apply conservation of mechanical energy .
initial kinetic energy = 1/2 m v²
= .5 x m x 12 x 12
= 72 m
This energy will be spent to store potential energy . if h be the height attained
potential energy = mgh , h is vertical height attined by block
= mg l sin20 where l is length up the inclined plane
for conservation of mechanical energy
initial kinetic energy = potential energy
72 m = mg l sin20
l = 72 / g sin20
= 21.5 m
deceleration on inclined plane = g sin20
= 3.35 m /s²
v = u - at
t = v - u / a
= (12 - 0) / 3.35
= 3.58 s
it will take the same time to come back . total time taken to reach original point = 2 x 3.58
= 7.16 s
Answer:
Option (A) is correct.
Explanation:
A horizontal rope has a length of 5 m and a mass of 0.00145 kg. If a pulse occurs on this string, generating a wavelength of 0.6 m and a frequency of 120 Hz. The tension to which the string is subjected is
mass of string, m = 0.00145 kg
Frequency, f = 120 Hz
wavelength = 0.6 m
Speed = frequency x wavelength
speed = 120 x 0.6 = 72 m/s
Let the tension is T.
Use the formula

Option (A) is correct.