Answer:
The astronaut's weight will be one-forth of her normal weight on earth.
Explanation:
From Newton's law of gravitation, we can write the acceleration due to gravity (g) on Earth's surface is given by
where 'G' is gravitational constant, '
' is Earth's mass and 'R' is Earth's radius.
As shown in the figure, if the astronaut is at a height 'h' from earth's surface and if '
' be the value of the acceleration due to gravity at that height, then
Taking the ratio of both the equations, and as given h = R.
So,
where 'm' is the mass of the astronaut.
So the weight of the astronaut will be one-forth her normal weight on earth.
Answer:
They hit at the same time
Explanation:
The bullet that is fired horizontally, the horizontal component of the speed is the speed with which is its is fired and the vertical component of the speed comes in picture due to gravity only.
When the bullet is dropped from the same height, the horizontal component is zero but the vertical component arises from the gravity.
The vertical components of the velocity of both the bullets are same and thus, they fall at the same time.
<u>Answer: They hit at the same time</u>
<span>All soils have completely different horizon patterns.</span>
(a) The y-component or vertical velocity is calculated using:
Vy = Vsin(∅)
(b) The x-component or horizontal velocity is calculated using:
Vx = Vcos(∅)
Answer:
a)106.48 x 10⁵ kg.m²
b)144.97 x 10⁵ kgm² s⁻¹
Explanation:
a)Given
m = 5500 kg
l = 44 m
Moment of inertia of one blade
= 1/3 x m l²
where m is mass of the blade
l is length of each blade.
Putting all the required values, moment of inertia of one blade will be
= 1/3 x 5500 x 44²
= 35.49 x 10⁵ kg.m²
Moment of inertia of 3 blades
= 3 x 35.49 x 10⁵ kg.m²
= 106.48 x 10⁵ kg.m²
b) Angular momentum 'L' is given by
L = x ω
where,
= moment of inertia of turbine i.e 106.48 x 10⁵ kg.m²
ω=angular velocity =2π f
f is frequency of rotation of blade i.e 13 rpm
f = 13 rpm=>= 13 / 60 revolution per second
ω = 2π f => 2π x 13 / 60 rad / s
L= x ω =>106.48 x 10⁵ x 2π x 13 / 60
= 144.97 x 10⁵ kgm² s⁻¹
