A block of mass m slides down a plane incline | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The energy lost due to friction $(E)$ as a block slides down an inclined plane of length $d$ is given by the work done against the frictional forc

Vedclass · Accepted Answer

Increasing the angle of inclination

Vedclass · Answer

(A) The energy lost due to friction $(E)$ as a block slides down an inclined plane of length $d$ is given by the work done against the frictional force.The frictional force is $f = \mu_k N$, where $N = mg \cos 	heta$ is the normal force.Thus, the energy lost is $E = f \cdot d = \mu_k (mg \cos 	heta) d$.Analyzing the variables:$1$. Increasing the angle of inclination $(	heta)$: As $	heta$ increases, $\cos 	heta$ decreases, so the energy lost decreases.$2$. Increasing the distance $(d)$: Energy lost increases linearly with $d$.$3$. Increasing the acceleration due to gravity $(g)$: Energy lost increases linearly with $g$.$4$. Increasing the mass $(m)$: Energy lost increases linearly with $m$.Therefore, increasing the angle of inclination does not increase the energy lost; it decreases it.

$A$ block of mass $m$ slides down a plane inclined at an angle $\theta$. Which of the following will $NOT$ increase the energy lost by the block due to friction?

Similar Questions

$A$ block of mass $m$ is placed on a surface with a vertical cross-section given by $y = \frac{x^3}{6}$. If the coefficient of friction is $0.5$,the maximum height above the ground at which the block can be placed without slipping is:

The upper half of an inclined plane with inclination $\phi$ is perfectly smooth,while the lower half is rough. $A$ body starting from rest at the top will again come to rest at the bottom,if the coefficient of friction for the lower half is given by-

The ratio of acceleration of block $A$ placed on a smooth incline to block $B$ placed on a rough incline is $2:1$. The coefficient of kinetic friction between block $B$ and the incline is .........

$A$ piece of ice slides down a rough inclined plane at $\theta=45^{\circ}$ inclination in twice the time that it takes to slide down an identical but frictionless inclined plane. What is the coefficient of friction between ice and incline?

$A$ block of mass $2 \, kg$ rests on a rough inclined plane making an angle of $30^\circ$ with the horizontal. The coefficient of static friction between the block and the plane is $0.7$. The frictional force on the block is ....... $N$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module