An object is placed at 0 on a number line. It moves 3 units to the right, then 4 units to the left, and then 6 units to the righ
t. The displacement of the object is _____.
2 answers:
Answer: 5 units
Let's begin by stating clear that movement is the change of position of a body at a certain time. So, during this movement, the body will have a trajectory and a displacement, being both different:
The trajectory is the path followed by the body (is a scalar magnitude).
The <u>displacement</u> is the distance in a straight line between the initial and final position (is a vector magnitude).
According to this, in the description of the object (figure attached) placed at 0 on a number line and moving some units to the left and some oter units to the right, we are talking about the path followed by the object, hence its trajectory. So, 13 units is its trajectory.
But, if we talk about displacement, we have to draw a straight line between the initial position of the object (point 0) to its final position (point 5).
Now, being this an unidimensional problem, the displacement vector for this object is 5 units.
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Answer:
The height is
A circular hoop of different diameter cannot be released from a height 30cm and match the sphere speed because from the conservation relation the speed of the hoop is independent of the radius (Hence also the diameter )
Explanation:
From the question we are told that
The height is
The angle of the slope is
According to the law of conservation of energy
The potential energy of the sphere at the top of the slope = Rotational kinetic energy + the linear kinetic energy
Where I is the moment of inertia which is mathematically represented as this for a sphere
The angular velocity is mathematically represented as
So the equation for conservation of energy becomes
Considering a circular hoop
The moment of inertial is different for circle and it is mathematically represented as
Substituting this into the conservation equation above
Where is the height where the circular hoop would be released to equal the speed of the sphere at the bottom
Recall that
Substituting values