Answer:
option (a) 0.61 s
Explanation:
Given;
Time taken by the ball to reach the ground = 0.50 s
Let us first calculate the distance through which the ball falls on the ground
from the Newton's equation of motion, we have

where,
s is the distance
a is the acceleration
t is the time
here it is the case of free fall
thus, a = g = acceleration due to gravity
u = initial speed of the ball = 0
on substituting the values, we get

or
s = 1.225 m
Now,
when the elevator is moving up with speed of 1.0 m/s
the initial speed of the ball = -1.0 m/s (as the elevator is moving in upward direction)
thus , we have

or

or
4.9t^2 - t - 1.225 = 0
or
t = 0.612 s
hence, the correct answer is option (a) 0.61 s
Answer:
I = 2 kgm^2
Explanation:
In order to calculate the moment of inertia of the door, about the hinges, you use the following formula:
(1)
I: moment of inertia of the door
α: angular acceleration of the door = 2.00 rad/s^2
τ: torque exerted on the door
You can calculate the torque by using the information about the Force exerted on the door, and the distance to the hinges. You use the following formula:
(2)
F: force = 5.00 N
d: distance to the hinges = 0.800 m
You replace the equation (2) into the equation (1), and you solve for α:

Finally, you replace the values of all parameters in the previous equation for I:

The moment of inertia of the door around the hinges is 2 kgm^2
A thunder bolt and lightning strike wouldn't do anyone any favours and might well account for the mess and the broken windows ...
Answer:
Green part of the visible spectrum.
X ray part of the electromagnetic spectrum.
Infrared part of the electromagnetic spectrum.
Explanation:
Wien's displacement law

Where, b = Wien's displacement constant = 2.898×10⁻³ mK
T = Temperature in kelvin

So, the wavelength would be of around the green part of the visible spectrum.

So, the wavelength would be of around the X ray part of the electromagnetic spectrum.
Human body temperature = 37°C = 37+273.15 = 310.15 K

So, the wavelength would be of around the Infrared part of the electromagnetic spectrum.
Answer:
Magnetic force obeys an inverse square law with distance
Explanation: