Answer:
She stone hit ground 42.86 m far from base of cliff.
Explanation:
Initial height from ground = 40 meter.
We have equation of motion , 
, s is the displacement, u is the initial velocity, a is the acceleration and t is the time.
In this the velocity of body in vertical direction = 0 m/s, acceleration = 9.8 
, we need to calculate time when s = 40 meter.
Substituting
So it will take 2.86 seconds to reach ground.
So, stone travels horizontally at 15 m/s for 2.86 seconds.
Distance travelled = 15 x 2.86 = 42.86 m
So, the stone hit ground 42.86 m far from base of cliff.
Answer: time t = 10s
Explanation:
Given;
Diameter = 8.0cm = 0.08m
Radius r = diameter/2 = 0.08/2 = 0.04m
Cord length d = 6.0m
Angular acceleration = 3.0rads/s2
Time = t
Converting the angular acceleration to linear acceleration
a = a* × r = 3.0 × 0.04 = 0.12m/s
d = vt + 1/2 (a × t^2)
Initial velocity v = 0, vt = 0 therefore;
d = 1/2 ( a × t^2)
t = √(2d/a)
t = √ [(2× 6)/0.12]
t = 10s
Initial momentum = 2 * m v
so if 1 ball popped out with 2 v momentum would be conserved
but the initial kinetic energy of the two balls is
1/2 m v^2 + 1/2 m v^2 = m v^2
But the kinetic energy of one ball with twice the speed would be
KE = 1/2 m (2 v)^2 = 2 m v^2 thus violating conservation of energy
Answer:
Induced emf in the coil, 
Explanation:
Given that.
Number of turns in the coil, N = 200
Side of square, d = 18 cm = 0.18 m
The field changes linearly from 0 to 0.50 T in 0.80 s.
To find,
The magnitude of the induced emf in the coil while the field is changing.
Solution,
We know that due to change in the magnetic field, an emf gets induced in the coil. The formula of induced emf is given by :
= magnetic flux
A is the ares of square
So, the induced emf in the coil is 4.05 volts. Hence, this is the required solution.
Wavelength - the distance from one wave crest or trough to another wave crest or trough. Amplitude - the distance from the median point or "middle" of the wave straight up to a crest (a maximum) or straight down to a trough (or minimum), which is the peak amplitude; or the distance from a trough straight up to a crest, or a crest straight down to a trough, called peak-to-peak amplitude.
