Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

A block starts slipping from an incline and moves half a meter in half second, how much time will it require to cover next half meter?

A block starts slipping from an incline and moves half a meter in half second, how much time will it require to cover next half meter?

Grade:

1 Answers

Abhimanyu`` Zala
30 Points
9 years ago

As there is no mention of friction the block will undergo translational motion with constant accelearation of gsinβ (note βis the angle of inlclination of the inclined plane wit the ground).

Using,

S=ut+0.5at2 

S=0.5at2  (initial velocity = 0)

0.5=0.5a(0.5)2

0.5=0.5(10sinβ)0.25   (g=10)

sinβ=2/5

Now as the half second is elapsed it requires the final velocity at the end of first half second is given by

v=u+at

v=gsinβt   (u=0)

v=(10)(2/5)(1/2)

v=2m/s

But the above same velocity becomes the initial velocity for the second 1/2 second so now,

S=ut+0.5at2 

(1/2)=(2)t+0.5(10x2/5)t2

We Get,

A quadratic equation,

4t2 + 4t + -1 = 0

Solving we get 

t=0.21 seconds

ANSWER:-Thus the block will require more 0.21 seconds to cover the more half of the distance.

 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free