A girl is pushing a box with constant velocity through her
room. Draw a free body diagram for the box and a-t, v-t,
x-t diagrams. No numbers necessary, but the trend.
a vs t is zero
v vs t is a constant
x vs t is a linear line, slope is velocity
does that mean it will just be a graph on an x-y plane??
so a vs t will be a straight line through the x axis? what about v vs t? in x vs t, is it a positive or negative slope?
To draw the free body diagram for the box, let's consider the forces acting on it. Since the girl is pushing the box with constant velocity, there must be an equal and opposite force acting on the box to counteract her push. This force is called the frictional force and it opposes the motion of the box. So, the free body diagram for the box will include two forces:
1. The force of friction pointing to the left, opposing the direction of the girl's push.
2. The force of gravity pointing downward, which is the weight of the box.
Now, let's move on to the acceleration-time (a-t), velocity-time (v-t), and position-time (x-t) diagrams.
Acceleration-Time (a-t) Diagram:
Since the box is moving with constant velocity, there is no acceleration acting on it. So, the acceleration-time diagram will show zero acceleration throughout.
Velocity-Time (v-t) Diagram:
Since the box is moving with constant velocity, the velocity-time diagram will show a straight line with zero acceleration. The velocity will remain constant throughout, indicating a constant horizontal line.
Position-Time (x-t) Diagram:
Since the box is moving with constant velocity, the position-time diagram will show a straight line with a constant slope. The x-t diagram will represent a linear relationship, indicating that the position of the box is changing at a constant rate.
Remember, the specific values or scales are not necessary for these diagrams as you only need to illustrate the trend based on the given scenario.