A body of mass 1 kg has velocity 1 m s^-1, up an inclined plane of angle of 30^∘ to the horiz

step 1 we have problem number 88 in which there is a body of mass let us say m here mass is being given

A body of mass 1 kg has velocity 1 m s^-1, up an inclined...

A body of mass $1 \mathrm{~kg}$ has velocity $1 \mathrm{~m} \mathrm{~s}^{-1}$, up an inclined plane of angle of $30^{\circ}$ to the horizontal. The friction coefficient is $\frac{1}{\sqrt{3}} .$ The distance the body travels before stopping is $\left(g=10 \mathrm{~m} \mathrm{~s}^{2}\right)$ (a) $5 \mathrm{~cm}$ (b) $7.5 \mathrm{~cm}$ (c) $10 \mathrm{~cm}$ (d) $6.7 \mathrm{~cm}$

A body of mass $1 \mathrm{~kg}$ has velocity $1 \mathrm{~m} \mathrm{~s}^{-1}$, up an inclined plane of angle of $30^{\circ}$ to the horizontal. The friction coefficient is $\frac{1}{\sqrt{3}} .$ The distance the body travels before stopping is $\left(g=10 \mathrm{~m} \mathrm{~s}^{2}\right)$
(a) $5 \mathrm{~cm}$
(b) $7.5 \mathrm{~cm}$
(c) $10 \mathrm{~cm}$
(d) $6.7 \mathrm{~cm}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Kinematic Equations

Kinematic equations describe the motion of objects under constant acceleration. They are used to calculate values such as displacement, velocity, and time, which in this case help determine how far the body travels before coming to rest.

Newton's Second Law

Newton's Second Law connects the net force acting on an object to its mass and acceleration. In this context, it is used to relate the gravitational force component along the incline and the frictional force to determine the deceleration of the body.

Inclined Plane Dynamics

This concept involves analyzing the forces acting on a body moving along a sloped surface. It requires the decomposition of the gravitational force into components that are parallel and perpendicular to the inclined plane, which is essential for determining the net force acting on the body along the plane.

Friction

Friction is a resistive force that acts opposite to the direction of motion. In problems involving inclined planes, the frictional force is calculated using the coefficient of friction and the normal force. This concept is crucial as it directly affects the net acceleration of the body moving along the incline.

Transcript

Please give Ace some feedback