Answer:
the electric field and the electric potential increase 5 times
Explanation:
The electric field created by a point charge is
E = k q / r²
in this case the charge changes from q₁ = 1 10⁺⁰ C to q₂ = 5 10⁻⁹ C
with the electric field is proportional to the charge
E₅ = 5 E₁
the electrical power for a point charge is
V = k q / r
as the electric power is proportional to the charge
V₅ = 5 V₁
consequently both the electric field and the electric potential increase 5 times
Answer:
a) 2457J
b) 558W
c) 337N
Explanation:
Assuming dogs started from rest.

and the displacement is given by:

Using the energy conservation formula:

Because the motion started from rest the initial kinetic energy is zero, the motion occurred in-ground level so the gravitational energy is zero too.
the work done by the friction force is given by:

so:

The power is given by:

and the force exerted by the dogs:

Answer:
<em>The data set marked as B has the largest standard deviation</em>
Explanation:
<u>Standard Deviation</u>
It's a number used to show how a set of measurements is spread out from the average value. A low standard deviation means that most of the values are close to the average. A high standard deviation means that the numbers are more spread out.
The formula for the standard deviation is

Where
is the value of each measurement, n is the number of elements in the set, and
is the average or media of the values, defined as

Let's analyze each set of data:
A.3,4,3,4,3,4,3
The average is

Computing the stardard deviation:


B.1,6,3,15,4,12,8
The average is

Computing the stardard deviation:


C. 20, 21,23,19,19,20,20
The average is

Computing the stardard deviation:


D.12,14,13,14,12,13,12
The average is

Computing the stardard deviation:


We can see the data set marked as B has the largest standard deviation
Answer:
Explanation:
b ) The problem is based on Doppler's effect of sound
f = f₀ x (V - v₀) /(
)
f is apparent frequency ,f₀ is real frequency , V is velocity of sound , v₀ is velocity of observer going away ,
is velocity of source going away
778 = 840 x (340 - 14)/ (340 +
)
340 +
= 341.18
= 1.18 m /s
it will go away from the observer or the cyclist.
speed of train = 1.18 m /s
a )
For a stationary observer v₀ = 0
f = f₀ x V /(
)
= 840 x 340 / (340 + 1.180)
= 837 Hz
Answer:
The speed of disk is 1.98 
Explanation:
Given:
Mass of
kg
Spring constant 
Compression of spring
m
From energy conservation theorem,
Spring potential energy converted into kinetic energy,




Therefore, the speed of disk is 1.98 