A block of mass m placed on a rough horizonta | vedclass

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

Question

(D) The block is moving on a rough horizontal surface. The forces acting on the block are the normal force $N$, gravitational force $mg$, the pulling

Vedclass · Accepted Answer

$\frac{P}{\mu m g}$

Vedclass · Answer

(D) The block is moving on a rough horizontal surface. The forces acting on the block are the normal force $N$, gravitational force $mg$, the pulling force $F$, and the kinetic frictional force $fr_k$.For vertical equilibrium, the normal force is $N = mg$.The kinetic frictional force is given by $fr_k = \mu N = \mu mg$.Power $P$ is defined as the product of the applied force $F$ and the velocity $v$ in the direction of motion: $P = F v$.For the block to move at a constant velocity (which is its maximum velocity), the net force on the block must be zero.Therefore, the pulling force $F$ must be equal to the kinetic frictional force $fr_k$:$F = fr_k = \mu mg$.Substituting this into the power equation:$P = F v_{\max} = (\mu mg) v_{\max}$.Solving for $v_{\max}$:$v_{\max} = \frac{P}{\mu mg}$.

$A$ block of mass $m$ placed on a rough horizontal plane is pulled by a constant power $P$. The coefficient of friction between the block and the surface is $\mu$. The maximum velocity of the block will be

Similar Questions

$A$ uniform rope of total length $l$ is at rest on a table with a fraction $f$ of its length hanging (see figure). If the coefficient of friction between the table and the rope is $\mu$,then:

When the engine is switched off, a vehicle of mass $M$ is moving on a rough horizontal road with momentum $p$. If the coefficient of friction between the road and the tyres of the vehicle is $\mu_k$, what is the distance travelled by the vehicle before it comes to rest?

$A$ horizontal force of $40\,N$ is applied to a $5\,kg$ block which is at rest on a horizontal surface. If the coefficient of kinetic friction is $0.4$,then the acceleration of the block is ........ $m/s^2$ $(g = 10\,m/s^2)$.

When we rub our palms,they get heated,but only up to a maximum temperature because:

Vedclass Test Series

Exam Paper Generator

Online Exam Module