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2 m
8 meters
One data is not given. Is the direction of displacement the same as that of the force? If so then the angle between displacement vector and force vector will be 0 Work done = force vector . displacement vector ( dot product) So W = F s cos @. @ is the angle between force and displacement vectors. In this sum @ = 0, same direction. So work done = 10 x 10 x cos 0 = 100 J
Actually the only difference between them is of the direction. Distance is a scalar quantity and the displacement is the vector quantity. They are always same in Unit . They are also same in magnitude while at in straight line motion.
Displacement in any interval of time may be zero,positive or negative.Imagine that a car begins traveling along a road after starting from a specific signpost. To know the exact position of the car after it has traveled a given distance, you need to know not only the miles it traveled but also its heading.The displacement, defined as the change in position of the object, is a vector with the magnitude as a distance, such as 10 miles, and a direction, such as east. Velocity is a vector expression with a magnitude equal to the speed traveled and with an indicated direction of motion. For motion defined on a number line, a positive or negative sign specifies the direction.Average velocity is mathematically defined asaverage velocity = total displacement/time elapsedNote that displacement (distance from starting position) is not the same as distance traveled. If a car travels one mile east and then returns one mile west, to the same position, the total displacement is zero and so is the average velocity over this time period. Displacement is measured in units of length, such as meters or kilometers, and velocity is measured in units of length per time, such as meters/second (meters per second).
2 m
8 meters
Yes, as long as the direction is exactly opposite (180 degrees from each other). A vector has both magnitude and direction.
One data is not given. Is the direction of displacement the same as that of the force? If so then the angle between displacement vector and force vector will be 0 Work done = force vector . displacement vector ( dot product) So W = F s cos @. @ is the angle between force and displacement vectors. In this sum @ = 0, same direction. So work done = 10 x 10 x cos 0 = 100 J
Actually the only difference between them is of the direction. Distance is a scalar quantity and the displacement is the vector quantity. They are always same in Unit . They are also same in magnitude while at in straight line motion.
The result will also be a velocity vector. Draw the first vector. From its tip draw the negative of the second vector ( ie a vector with the same magnitude but opposite direction). The the resultant would be the vector with the same starting point as the first vector and the same endpoint as the second. If the two vectors are equal but opposite, you end up with the null velocity vector.
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
Displacement in any interval of time may be zero,positive or negative.Imagine that a car begins traveling along a road after starting from a specific signpost. To know the exact position of the car after it has traveled a given distance, you need to know not only the miles it traveled but also its heading.The displacement, defined as the change in position of the object, is a vector with the magnitude as a distance, such as 10 miles, and a direction, such as east. Velocity is a vector expression with a magnitude equal to the speed traveled and with an indicated direction of motion. For motion defined on a number line, a positive or negative sign specifies the direction.Average velocity is mathematically defined asaverage velocity = total displacement/time elapsedNote that displacement (distance from starting position) is not the same as distance traveled. If a car travels one mile east and then returns one mile west, to the same position, the total displacement is zero and so is the average velocity over this time period. Displacement is measured in units of length, such as meters or kilometers, and velocity is measured in units of length per time, such as meters/second (meters per second).
Any other vector with with the same magnitude and the same direction.
The magnitude is the same, the direction vector is not.
A vector quantity is one which transforms like the coordinates. In other words, if a coordinate system is transformed by an operator , any vector quantity in the old coordinate system can be transformed to its equivalent in the new system by the same operator. An example of a vector quantity is displacement (r). If displacement is a vector, the rate of change of displacement (dr/dt) or the velocity is also a vector. The mass of an object (M) is a scalar quantity. Multiplying a vector by a scalar yields a vector. So momentum, which is the mass multiplied by velocity, is also a vector. Momentum too transforms like the coordinates, much like any other vector. The definition of a vector as a quantity having "magnitude and direction" is simply wrong. For example, electric current has "magnitude and direction", but is a scalar and not a vector.
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.