With acceleration
and initial velocity
the velocity at time <em>t</em> (b) is given by
We can get the position at time <em>t</em> (a) by integrating the velocity:
The particle starts at the origin, so .
Get the coordinates at <em>t</em> = 8.00 s by evaluating at this time:
so the particle is located at (<em>x</em>, <em>y</em>) = (64.0, 64.0).
Get the speed at <em>t</em> = 8.00 s by evaluating at the same time:
This is the <em>velocity</em> at <em>t</em> = 8.00 s. Get the <em>speed</em> by computing the magnitude of this vector:
Impulse = (force) x (time)
The first impulse was (20 N) x (10 sec) = 200 meters/sec
The second one is (50 N) x (time) and we want it equal to the first one, so
(50 N) x (time) = 200 meters/sec
Divide each side by 50N : Time = 200/50 = <em>4 seconds</em>
By the way, the quantity we're playing with here is the cart's <em>momentum</em>.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The components of reaction at the fixed support are
, , , , ,
Explanation:
Looking at the diagram uploaded we see that there are two forces acting along the x-axis on the fixed support
These force are 400 N and [ i.e the reactive force of 400 N ]
Hence the sum of forces along the x axis is mathematically represented as
=>
Looking at the diagram uploaded we see that there are two forces acting along the y-axis on the fixed support
These force are 500 N and [ i.e the force acting along the same direction with 500 N ]
Hence the sum of forces along the x axis is mathematically represented as
=>
Looking at the diagram uploaded we see that there are two forces acting along the z-axis on the fixed support
These force are 600 N and [ i.e the reactive force of 600 N ]
Hence the sum of forces along the x axis is mathematically represented as
=>
Generally taking moment about A along the x-axis we have that
=>
Generally taking moment about A along the y-axis we have that
=>
Generally taking moment about A along the z-axis we have that
=>
Milky Way Galaxy, same one as you.