﻿ A 1 kg block situated on a rough incline is connected to a spring of spring constant 100 N m–1 as shown in Fig. 6.17. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that the spring has a negligible mass and the pulley is frictionless. from Physics Work, Energy and Power Class 11 Manipur Board

## Book Store

Currently only available for.
CBSE Gujarat Board Haryana Board

## Previous Year Papers

Download the PDF Question Papers Free for off line practice and view the Solutions online.
Currently only available for.
Class 10 Class 12
A 1 kg block situated on a rough incline is connected to a spring of spring constant 100 N m–1 as shown in Fig. 6.17. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that the spring has a negligible mass and the pulley is frictionless.

Given,

Mass of the block,
m = 1 kg

Spring constant, k = 100 N m–1

Displacement in the block, x = 10 cm = 0.1 m

The given situation can be illustrated in the following figure,

At equilibrium,

Normal reaction, R = mg cos 37°

Frictional force, f = μ R

= mg Sin 37

where, μ is the coefficient of friction

Net force acting on the block = mg sin 37° –

= mgsin 37° – μmgcos 37°

= mg(sin 37° – μcos 37°)

At equilibrium, the work done by the block is equal to the potential energy of the spring.

i.e.,
mg(sin 37° – μcos 37°)x =  kx2
1 × 9.8 (Sin 370 - μcos 37°) = × 100 × (0.1)

0.602 - μ × 0.799 = 0.510

∴                        μ =   =  0.115

708 Views

What is watt?

SI unit of power is Watt.
773 Views

Define the unit joule.

Work done is said to be one joule if one newton of  force displaces the body through a distance of one meter in the direction of applied  force .
799 Views

What are different units of energy?

The different units of energy are :

(i) Joule
(ii) Erg
(iii) eV
(iv) KWh
(v) Calorie.

804 Views

Define watt.

Power is said to be one watt if one joule of work is done in one second.
860 Views

Is work a scalar or a vector quantity?

Work is dot product of two vectors. i.e. .

And dot product is a scalar quantity. Therefore, work is a scalar quantity.
1450 Views