+91-8076753736[email protected]
logo
logo
-->

Work, Energy And Power

Question
CBSEENPH11026241
Wired Faculty App

A ball of mass 2 kg moving with velocity 3 m/s collides with spring of natural length 2 m and force constant 144 N/m. What will be length of compressed spring?

  • 2 m

  • 1.5 m

  • 1 m

  • 0.5 m

Solution

B.

1.5 m

Let spring is compressed by a length x. 

Kinetic energy of ball = Potential energy of spring

i.e,        12m v2 = 12 k x2

Given m = 2 kg, v = 3 m/s , k = 144 N/m

∴           12 × 2 × 32 = 12 × 144 × x2

⇒                      9 = 72 x2

∴                      x = 972

⇒                    x = 122m

Hence, length of compressed spring

                             = 2  -  122

                              = 4 2 - 12 2

length of compressed spring = 1.5 m                

Some More Questions From Work, Energy and Power Chapter

Write the SI unit of gravitational constant?

Define the unit joule.

What are different units of energy?

What is watt?

Define watt.

How many joules are there in one eV?

What is the relation between kWh and Joule?

Does the body at rest possess energy?

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation