Answer:
The focal length for given convex lens = 0.0714 m
Explanation:
Given data
Radius () = 12.5 cm
Radius () = 16.7 cm
Since the radius of curvature is positive so these are the convex lens.
Now focal length is given by
⇒ = +
⇒ Put the values of and in the above formula we get,
⇒ = +
⇒ = 0.13988
⇒ f =
⇒ f = 7.14 cm
⇒ f = 0.0714 m
Thus the focal length for given convex lens = 0.0714 m
The answer is:
1.8 meters.
Explanation:
An athlete swinging can be considered a pendulum.
The pendulum's maximum height is the point at which it changes direction, which means that its velocity is equal to zero. In this point, for the mechanical energy conservation, all its kinetic energy is transformed into potential energy. Similarly, when the pendulum is at its resting position (when the athlete grabs the rope), its energy is totally kinetic.
Therefore we can say that:
Solving for h:
As we can see, the maximum height is independent on the mass and on the length of the rope, therefore it will be the same for the 100kg-athlete as it is for the 50kg-athlete, since their initial speeds are the same.
We know that the <span>50kg-athlete reached a height of 1.8 m, h</span>ence, the maximum height reached by the 100kg-athlete will be
1.8 m.
Answer:
This question is incomplete
Explanation:
This question is incomplete because of the absence of the time taken to complete one full cycle.
Frequency (<em>f</em>) will be calculated first as
<em>f </em>= <em>N </em>÷<em> t</em>
where <em>N </em>is the number of cycles and <em>t </em>is the time taken to complete one full cycle. The unit for frequency is Hertz (Hz).
To calculate the period, <em>T, </em>the formula below will be used
<em>T </em>= 1 ÷ <em>f</em>
The unit for period is secs