Answer:
I = 26.36 cosω t A
Explanation:
Given that
C=0.74 mF
Vrms= 82 V
Frequency ,f= 49 Hz
We know that ω = 2 π f
ω = 2 x π x 49
ω = 307.72 rad/s
As we know that voltage given as
V= Vo sinω t
\
Vo=115.96 V
V=115.96 sinω t
The current given as
I = 26362.67 cosω t mA
I = 26.36 cosω t A
This is the current at time ant time t.
Missing graph. I attach it in the answer.
In a uniformly accelerated motion, the velocity at time t is given by:
where a is the acceleration and t is the time.
Given the previous equation, if we plot v(t) versus t, we find a straight line; moreover, a (the acceleration) represents the slope of the curve.
Looking at the graph, we see that when the time goes from 10 s to 20 s, the velocity increases from 4 m/s to 6 m/s. Therefore the slope of the curve is
and this corresponds to the acceleration.
So, the correct answer is <span>
0.2 m/s2.</span>
Answer:
61.22m
Explanation:
Maximum height in projectile is expressed as;
H = u²sin²θ/2g
u is the speed
g is the acceleration due to gravity
θ is the angle of projection
Substitute the given values into the formula;
H = u²sin²θ/2g
H = 40²sin²60/2g
H = 1600(0.8660)²/2(9.8)
H = 1600(0.8660)²/2(9.8)
H = 1,199.9/19.6
H = 61.22m
Hence the maximum height achieved by the ball is 61.22m
Explanation:
If a body does not cover a equal distance at a equal interval of time it is said to be non uniform motion...
Answer:
W=1705.2 J
Explanation:
Given that
mass ,m= 60 kg
Acceleration due to gravity ,g= 9.8 m/s²
Height ,h= 2.9 m
As we know that work done by a force given as
W = F . d
F=force
d=Displacement
W=work done by force
Now by putting the values
F= m g (Acting downward )
d= h (Upward)
W= m g h ( work done against the force)
W= 60 x 9.8 x 2.9 J
W=1705.2 J
Therefore the answer will be 1705.2 J.
