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  • A block is placed on the top of a palne inclined at  with horizontal . The length of plane is 5 m . The block slide down the plane an

A block is placed on the top of a palne inclined at 37 \degree with horizontal . The length of plane is 5 m . The block slide down the plane and reaches the bottom . 

Find the speed (in m/sec) of block at the bottom of the inclined plane is smooth 

 

Option: 1 7.67

Option: 2 8.5

Option: 3 9.62

Option: 4 5.35

Answers (1)

best_answer

As we have learned

Mechanical Energy -

 Mechanical energy is the sum of potential energy and kinetic energy. It is the energy associated with the motion and position of an object

- wherein

Two types :

kinetic and Potential energy

 

 Let h be height of plane h = 5 \sin 37 \degree = 3 m

As the block slides down the inclined plane , it loses gravitational potential energy amd gains KE as Total mechanical enegy is conserved 

loss in P.E = Gain in K.E 

 mg (loss in height )  = KE_f - KE_i

mgh = 1/2 mv^2 - 0

 v = \sqrt {2gh} = \sqrt{2 \times 9.8 \times 3 }

v = 7.67 m /s

 

 

 

 

 

 

Posted by

Suraj Bhandari

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