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A moving body of mass m and velocity 3 km/h collides with a rest body of mass 2 m and stricks to it. Now the combined mass starts to move. What will be the combined velocity?
To find the resultant velocity after the collision, we can use the principle of conservation of momentum. Momentum before collision is equal to the momentum after collision. Let: - Mass of moving body = m - Velocity of moving body = v₁ = 3 km/h - Mass of resting body = 2m - Velocity of resting bodyRead more
To find the resultant velocity after the collision, we can use the principle of conservation of momentum. Momentum before collision is equal to the momentum after collision.
Let:
– Mass of moving body = m
– Velocity of moving body = v₁ = 3 km/h
– Mass of resting body = 2m
– Velocity of resting body = v₂ = 0 km/h
– Combined mass after the collision = m + 2m = 3m
– Combined velocity after the collision = vբ
Total momentum before collision is:
Momentum Initial = mv₁ + (2m)v₂ = m(3) + (2m)(0) = 3m
Total momentum after collision:
Final Momentum = (3m)vբ
Put the initial momentum equal to final momentum:
3m = 3mvբ
Now solve for բv:
բv = 3m / 3m = 1 km/h
Thus, the resultant velocity after collision is 1 km/hour.
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For a hollow cylinder and a solid cylinder rolling without slipping on an inclined plane, then which of these reaches earlier
The acceleration of the two rolling cylinders on an inclined plane without slipping is dominated by the moment of inertia. For the same mass and radius, the moment of inertia for the hollow cylinder is greater than that of the solid cylinder. Thus, the fraction of potential energy converted to transRead more
The acceleration of the two rolling cylinders on an inclined plane without slipping is dominated by the moment of inertia. For the same mass and radius, the moment of inertia for the hollow cylinder is greater than that of the solid cylinder. Thus, the fraction of potential energy converted to translational kinetic energy is greater for the solid cylinder, resulting in greater acceleration.
The hollow cylinder, however, has a greater moment of inertia and, hence, more energy in rotational rather than translational motion. This results in a smaller acceleration of the hollow cylinder along the slope.
The acceleration is greater in the solid cylinder; therefore, the solid cylinder will reach the bottom of the slope before the hollow cylinder does. This happens for all objects with different moments of inertia which roll down any incline.
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If force acts on a body, whose line of action does not pass through its centre of gravity, then the body will experience
When a force acts on a body, and its line of action does not pass through the center of gravity, the body experiences two effects: linear acceleration and angular acceleration. Linear acceleration occurs as the force pushes or pulls the body in a specific direction. This is due to the body's responsRead more
When a force acts on a body, and its line of action does not pass through the center of gravity, the body experiences two effects: linear acceleration and angular acceleration. Linear acceleration occurs as the force pushes or pulls the body in a specific direction. This is due to the body’s response to the applied force, which causes a change in its state of motion.
At the same time, since the line of action of this force does not pass through the center of gravity, a torque is developed. Torque is defined as the rotational effect developed due to the application of the force at a distance from the center of gravity. Thus, this torque causes angular acceleration, and hence, the body rotates around an axis. The combined effects of the linear acceleration and angular acceleration influence the motion of the body.
For example, when you push a door at its edge, it rotates around its hinges because of the torque generated, and the force exerts a linear effect as well. Similarly, if you apply force to a spinning top at any point other than its center, it causes rotation and a change in position as well. So, whenever the line of action of the force misses the center of gravity, both types of acceleration occur.
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Why are convex mirrors used as side view mirrors in vehicles?
To see large area
To see large area
See lessWhen is the work said to be done? Give some examples.
There was said to work when a force is applied onto an object along with the movements of the applied force. But for work, however to be done then three conditions apply: 1. Applied Force: One must apply forces on the affected object. 2. Displacement by the Applied force: The resultant movement of aRead more
There was said to work when a force is applied onto an object along with the movements of the applied force. But for work, however to be done then three conditions apply:
1. Applied Force: One must apply forces on the affected object.
2. Displacement by the Applied force: The resultant movement of applying the force with the object having moved from position.
3. Direction Alignment: The displacement must have a component in the direction of the applied force.
Examples of Work:
1. Lifting an Object: When you lift a book from the ground, you apply an upward force, and the book moves upwards. Here, work is done because the force and displacement are in the same direction.
2. Pushing a cart: While the person applies the force for pushing the shopping cart, work gets done due to the displacement in the direction of the force.
3. Pulling a Sled: One example of using force to do work would be pulling the sled on snowy surfaces. Applying force to push it in the direction of pull means work done is achieved.
4. Lifting Water Using a Bucket: If a bucket is used to draw water from a well, then work is done as the bucket goes upwards because of the applied force.
Work is not done when the object is stationary or the applied force is perpendicular to the displacement. This means holding an immovable object or carrying a load horizontally in which no vertical displacement is created does not include work.
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