A bag is gently dropped on a conveyor belt moving at a speed of 2 m/s. The coefficient of friction between the conveyor belt and bag is 0.4. Initially the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion, is
[Take g = 10 m/s2]
A bag is gently dropped on a conveyor belt moving at a speed of 2 m/s. The coefficient of friction between the conveyor belt and bag is 0.4. Initially the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion, is
[Take g = 10 m/s2]
- 2 m
- 0.5 m
- 3.2 m
- 0.8 ms
The Correct Option is B
Solution and Explanation
The correct option is(B): 0.5 m
v = 2 m/s
μ = 0.4
a = +(0.4) (g)= + 4 m/s2
v2 – u2 = 2
⇒ (4) = 2 × (4) (s)
s = 0.5 m
Top Questions on laws of motion
- A body of mass 2 kg moving with velocity of $ \vec{v}_{\text{in}} = 3 \hat{i} + 4 \hat{j} \, \text{ms}^{-1} $ enters into a constant force field of 6N directed along positive z-axis. If the body remains in the field for a period of $ \frac{5}{3} $ seconds, then velocity of the body when it emerges from force field is:
- JEE Main - 2025
- Physics
- laws of motion
The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view mirror, which is a convex mirror with radius of curvature \( R = 2 \, \text{m} \). Another car approaches him from behind with a uniform speed of 90 km/hr. When the car is at a distance of 24 m from him, the magnitude of the acceleration of the image of the side view mirror is \( a \). The value of \( 100a \) is _____________ m/s\(^2\).
- JEE Main - 2025
- Physics
- laws of motion
- A car of mass 1100 kg is moving on a straight rough horizontal surface with a speed of 43.2 kmph. If the coefficient of friction between the surface and the tyres of the car is 0.3, then the shortest distance in which the car can come to rest is (Acceleration due to gravity = $10~\text{m s}^{-2}$)
- TS EAMCET - 2025
- Physics
- laws of motion
- A ball of mass 250 g moving with a speed of 72 kmph is deflected by a batsman by an angle of 120$^\circ$ without changing its initial speed. The impulse imparted to the ball is:
- TS EAMCET - 2025
- Physics
- laws of motion
- A force separately produces accelerations of 18 ms⁻², 9 ms⁻² and 6 ms⁻² in three bodies of masses P, Q and R respectively. If the same force is applied on a body of mass P+Q+R, then the acceleration of that body is
- TS EAMCET - 2025
- Physics
- laws of motion
Questions Asked in JEE Main exam
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \[ (\sin x \cos y)(f(2x + 2y) - f(2x - 2y)) = (\cos x \sin y)(f(2x + 2y) + f(2x - 2y)), \] for all \( x, y \in \mathbb{R}. \)
If \( f'(0) = \frac{1}{2} \), then the value of \( 24f''\left( \frac{5\pi}{3} \right) \) is:
- JEE Main - 2025
- Differential Calculus
- The number of points of discontinuity of the function $ f(x) = \left\lfloor \frac{x^2}{2} \right\rfloor - \left\lfloor \sqrt{x} \right\rfloor, \quad x \in [0, 4], $ where $ \left\lfloor \cdot \right\rfloor $ denotes the greatest integer function, is:
- JEE Main - 2025
- Functions
- A lens of focal length 20 cm in air is made of glass with a refractive index of 1.6. What is its focal length when it is immersed in a liquid of refractive index 1.8?
- JEE Main - 2025
- Wave optics
- Two charges \( 7 \, \mu C \) and \( -4 \, \mu C \) are placed at \( (-7 \, \text{cm}, 0, 0) \) and \( (7 \, \text{cm}, 0, 0) \) respectively. Given, \( \epsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2 \text{N}^{-1} \text{m}^{-2} \), the electrostatic potential energy of the charge configuration is:
- JEE Main - 2025
- Electrostatics and Potential Energy
- The area of the region enclosed by the curves \( y = x^2 - 4x + 4 \) and \( y^2 = 16 - 8x \) is:
- JEE Main - 2025
- Area between Two Curves
Concepts Used:
Rotational Motion
Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.
Rotational Motion Examples:
The wheel or rotor of a motor, which appears in rotation motion problems, is a common example of the rotational motion of a rigid body.
Other examples:
- Moving by Bus
- Sailing of Boat
- Dog walking
- A person shaking the plant.
- A stone falls straight at the surface of the earth.
- Movement of a coin over a carrom board
Types of Motion involving Rotation:
- Rotation about a fixed axis (Pure rotation)
- Rotation about an axis of rotation (Combined translational and rotational motion)
- Rotation about an axis in the rotation (rotating axis)