Answer:
The first situation is impossible.
Explanation:
"An object has constant non-zero velocity and changing acceleration."
Not possible, acceleration is the change of velocity. For velocity to remain constant the acceleration must remain zero. If acceleration is changing it might be zero at some point, but will not remain zero, so the velocity will change.
"An object has zero velocity but non-zero acceleration."
An object might have a velocity of zero at some point while under an acceleration. An example of this is an object that is thrown upwards. At the top of the trajectory it will have a velocity of zero but will be under the acceleration of gravity.
"An object has constant non-zero acceleration and changing velocity."
This is what any object in free fall do.
"An object has velocity directed east and acceleration directed east."
No problem with that.
"An object has velocity directed east and acceleration directed west."
No problem with that, it will reduce its velocity.
Answer:
Free body diagram
Explanation:
A free body diagram shows all the forces acting on an object. an example would be a box sitting on the floor.
Draw a square and you would have an arrow from the box pointed down to represent gravity pulling the box down and an arrow from the box pointing upwards to represent the normal force of the ground pushing back. in the scenario the two arrows would be equal length because the forces balance out since the box is motionless. in a situation where there is motion one arrow would be bigger such as if a box was falling. in this example it would have an arrow down to show gravity but no arrow up because it is in free fall. The sum of the forces which is represented by the arrows is what your net force is. The free body diagram helps you visualize all the forces acting on an object.
Answer:
Explanation:
For this interesting problem, we use the definition of centripetal acceleration
a = v² / r
angular and linear velocity are related
v = w r
we substitute
a = w² r
the rectangular body rotates at an angular velocity w
We locate the points, unfortunately the diagram is not shown. In this case we have the axis of rotation in a corner, called O, in one of the adjacent corners we call it A and the opposite corner A
the distance OB = L₂
the distance AB = L₁
the sides of the rectangle
It is indicated that the acceleration in in A and B are related
we substitute the value of the acceleration
w² r_A = n r_B
the distance from the each corner is
r_B = L₂
r_A =
we substitute
\sqrt{L_1^2 + L_2^2} = n L₂
L₁² + L₂² = n² L₂²
L₁² = (n²-1) L₂²
D. a train on a straight track