Answer
427.5k+ views
Hint:the elevator has no acceleration so the velocity of the elevator will not change and so the final velocity will be equal to initial velocity. The net acceleration of the elevator is zero.
Complete solution:
If we understand the case, we will see that the total distance the elevator travels is 360 meters.
For better understanding let us have a look over the diagram given below;
The diagram above will help you get a better understanding of the situation given.
Now we all know that distance is the product of speed and time;
Mathematically we can write;
$s = ut$ (Here, u = speed of the body, t = time taken and s= distance covered)
So,
$s = 360m = ut$
Also,
$u = 6m/\min $
$ \Rightarrow u = \dfrac{6}{{60}}m{s^{ - 1}}$
$ \Rightarrow u = 0.1m{s^{ - 1}}$
Thus we substitute these values in the formula;
$s = ut$
$ \Rightarrow 360 = 0.1t$
$ \Rightarrow t = \dfrac{{360}}{{0.1}}\sec $
$ \Rightarrow t = 3600\operatorname{s} $
$\therefore t = 1hr = 60\min $
Hence option C is correct.
Note:
-The fact that the acceleration is zero is due to the elevator rope.
-The only force acting on the elevator downwards is the gravitational pulling force, and this force is balanced by the upward pulling tension force due to the rope.
-So the acceleration due to gravity is cancelled by the deceleration of the tension force due to the rope.
-Hence the elevator moves with a steady velocity.
Complete solution:
If we understand the case, we will see that the total distance the elevator travels is 360 meters.
For better understanding let us have a look over the diagram given below;
![seo images](https://www.vedantu.com/question-sets/253ce3a3-857f-471c-9cfe-d198876cc1f6356966691361913887.png)
The diagram above will help you get a better understanding of the situation given.
Now we all know that distance is the product of speed and time;
Mathematically we can write;
$s = ut$ (Here, u = speed of the body, t = time taken and s= distance covered)
So,
$s = 360m = ut$
Also,
$u = 6m/\min $
$ \Rightarrow u = \dfrac{6}{{60}}m{s^{ - 1}}$
$ \Rightarrow u = 0.1m{s^{ - 1}}$
Thus we substitute these values in the formula;
$s = ut$
$ \Rightarrow 360 = 0.1t$
$ \Rightarrow t = \dfrac{{360}}{{0.1}}\sec $
$ \Rightarrow t = 3600\operatorname{s} $
$\therefore t = 1hr = 60\min $
Hence option C is correct.
Note:
-The fact that the acceleration is zero is due to the elevator rope.
-The only force acting on the elevator downwards is the gravitational pulling force, and this force is balanced by the upward pulling tension force due to the rope.
-So the acceleration due to gravity is cancelled by the deceleration of the tension force due to the rope.
-Hence the elevator moves with a steady velocity.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)