The engineer built a device called a generator
Answer:


Explanation:
In order to calculate the equivalent spring constant we need to use the next formula:

Replacing the data provided:


Finally, to calculate the frequency of oscillation we use this:

Replacing m and k:

Answer:
a = 1.5*10^-3 m/s^2
x = 0.033m = 3.3cm
Explanation:
To calculate the acceleration and the distance traveled by the car you use the following formulas:
(1)
(2)
v: final velocity = 0,255 km/h
vo: initial velocity = 0 m/s
t: time = 3/4 min
a: acceleration = ?
x: distance
In order to use the equations (1) and (2) you first convert the units of the final velocity to m/s, and the time to seconds.

Next, you solve the equation (1) for the acceleration a:

With this value of a you can calculate the distance traveled by the car, by using the equation (2):

hence, the acceleration of the car is 1.5*10^-3 m/s^2 and the distance traveled in 3/4 min is 0.033m
The convex spherical mirror is the diverging mirror. The image distance is 20.4 cm. The magnification is 0.417. The image is virtual and upright.
<h3>
What is magnification?</h3>
Magnification is the ratio of image distance to the object distance.
Object distance is 49 cm and the focal length of convex mirror is 35 cm, then image distance is calculated by the lens maker formula.
1/f = 1/v +1/u
1/-35 = 1`/v +1/49
v= -20.4 cm
Thus, the image distance is 20.4 cm.
The magnification is given by
m = v/u
m = -20.4 / 49
m = 0.417
Thus, the magnification is 0.417.
The image formed is by virtual meeting of light rays and above the principle axis. Thus the image is virtual and upright.
Learn more about magnification.
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d = distance between the two point charges = 60 cm = 0.60 m
r = distance of the location of point "a" where the electric field is zero from charge
between the two charges.
= magnitude of charge on one charge
= magnitude of charge on other charge
= 3 
= Electric field by charge
at point "a"
= Electric field by charge
at point "a"
Electric field by charge
at point "a" is given as
= k
/r²
Electric field by charge
at point "a" is given as
= k
/(d-r)²
For the electric field to be zero at point "a"
=
k
/(d-r)² = k
/r²
/(d-r)² = 3
/r²
1/(0.60 - r)² = 3 /r²
r = 0.38 m
r = 38 cm