A motor spins upward the flywheel with a persistent torque
of 50N⋅m.
What time does it take the flywheel to get to the top speed?
From the equation:
Tj = J*dω/dt
you can get the two equations:
Δt1= J1*Δω/Tj = 240*125.66/50 = 603.17 sec
Δt2= J2*Δω/Tj = 120*125.66/50 = 301.58 sec
First compute the resultant force F:



Then use Newton's second law to determine the acceleration vector
for the particle:



Let
and
denote the particle's position and velocity vectors, respectively.
(a) Use the fundamental theorem of calculus. The particle starts at rest, so
. Then the particle's velocity vector at <em>t</em> = 10.4 s is



If you don't know calculus, then just use the formula,

So, for instance, the velocity vector at <em>t</em> = 10.4 s has <em>x</em>-component

(b) Compute the angle
for
:

so that the particle is moving at an angle of about 313º counterclockwise from the positive <em>x</em> axis.
(c) We can find the velocity at any time <em>t</em> by generalizing the integral in part (a):


Then using the fundamental theorem of calculus again, we have

where
is the particle's initial position. So we get



So over the first 10.4 s, the particle is displaced by the vector

or a net distance of about 395 m away from its starting position, in the same direction as found in part (b).
(d) See part (c).
Answer:
4.022 seconds and 4.99 seconds
Explanation:
Hello!
The free fall of the stone corresponds to a uniformly varied rectilinear movement
d=V_0*t+1/2*g*t^2
Being a free fall the initial speed is zero.
The distance is positive when considered in the same direction and direction as acceleration and speed.
256 feet stone
79.25 m=0 m⁄s*t+1/2*9,8 m⁄s^2 *t^2
t = 4.022 seconds
400 feet stone
121.92m=0 m⁄s*t+1/2*9,8 m⁄s^2 *t^2
t= 4,99 seconds
success with your homework!
C it is transformed into chemical energy
Complete question:
if two point charges are separated by 1.5 cm and have charge values of +2.0 and -4.0 μC, respectively, what is the value of the mutual force between them.
Answer:
The mutual force between the two point charges is 319.64 N
Explanation:
Given;
distance between the two point charges, r = 1.5 cm = 1.5 x 10⁻² m
value of the charges, q₁ and q₂ = 2 μC and - μ4 C
Apply Coulomb's law;

where;
F is the force of attraction between the two charges
|q₁| and |q₂| are the magnitude of the two charges
r is the distance between the two charges
k is Coulomb's constant = 8.99 x 10⁹ Nm²/C²

Therefore, the mutual force between the two point charges is 319.64 N