Question:

The figure shows the position - \(time\, (x - t)\) graph of one-dimensional motion of a body of mass \(0.4\, kg\). The magnitude of each impulse is

Updated On: Jul 29, 2023
  • 0.4 Ns
  • 0.8 Ns
  • 1.6 Ns
  • 0.2 Ns
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The Correct Option is B

Solution and Explanation

As we know velocity = slope of (x-t) graph

The term "motion" refers to a body's change in position over time as a result of its environment. Any mass-containing object's motion in physics can be quantified in terms of distance, displacement, speed, velocity, acceleration, and time. Depending on the body's velocity, the motion can either be uniform or non-uniform. The distance a body has travelled in a unit of time is known as its speed, and the displacement in a unit of time is known as its velocity. 

  • Translation is the term used to describe motion along a line or a curve.
  • Rotation is a motion that modifies a body's orientation. 
  • Every motion has a frame of reference to which it is related.
  • A body is simply being described in relation to a frame of reference that is moving with the body while we claim it is at rest.

Motion is the adjustment of a body's position with respect to time. The illustrations of the race vehicles in motion make it simple to comprehend motion.

Consider two automobiles, A and B, that are competing in a race at the same time.

While both automobiles are moving at the same pace in front of the audience, car A is stationary in relation to car B and vice versa.

Every physical body experiences motion, whether it is quick or gradual.

The entire cosmos is always in motion.

Because the observer is positioned on Earth's surface, a body there may seem to be at rest. The Earth spins on its own axis constantly and travels in an orbit around the Sun with the body and the observer.

The following varieties of motion can be represented and explained:

  • Distance
  • Speed
  • Displacement
  • Time

The change in location is described by both distance and displacement. The smallest direction-specific distance between two places is called displacement.

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Concepts Used:

Laws of Motion

The laws of motion, which are the keystone of classical mechanics, are three statements that defined the relationships between the forces acting on a body and its motion. They were first disclosed by English physicist and mathematician Isaac Newton.

Newton’s First Law of Motion

Newton’s 1st law states that a body at rest or uniform motion will continue to be at rest or uniform motion until and unless a net external force acts on it.

Newton’s Second Law of Motion

Newton's 2nd law of motion deals with the relation between force and acceleration. According to the second law of motion, the acceleration of an object as built by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

Newton’s Third Law of Motion

Newton's 3rd law of motion states when a body applies a force on another body that there is an equal and opposite reaction for every action.