Answer:
51.82
Explanation:
First of all, let's convert both vectors to cartesian coordinates:
Va = 36 < 53° = (36*cos(53), 36*sin(53))
Va = (21.67, 28.75)
Vb = 47 < 157° = (47*cos(157), 47*sin(157))
Vb = (-43.26, 18.36)
The sum of both vectors will be:
Va+Vb = (-21.59, 47.11) Now we will calculate the module of this vector:
Explanation:
The given data is as follows.
M = 35 kg, radius (r) = 2.2 m,
m = 17 kg, = 11 rad/s
We assume that will be the final angular speed.
Now, according to the conservation of angular momentum.
or,
Putting the given values into the above formula as follows.
or,
=
= 7.58 rad/s
Thus, we can conclude that the angular speed of the clay and turntable is 7.58 rad/s.
Slope of a curve Y plotted against X is mathematically given as
now here we can see that if similarly graph is plotted against distance and time then slope is given as
here we can say that above is ratio of small distance and very small interval of time.
so here we can say that this ratio of distance and time for very small interval of time is known as instantaneous speed of the object which is falling freely under gravity.
So here slope of the graph will represent the speed at a given instant.