As you sit outside, the sound of a siren becomes lower in pitch. Is the emergency vehicle moving away from or towards you? expla
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Answer:
v = 3.81 m/s
Explanation:
First, we will find out the radius (r)
sinΘ = r / L
or
r = LsinΘ
on substituting the values, we get
r = 1.2 × sin18°
or
r = 0.370 m
Now,
The tension (T) can be calculated as
ΣF(y) = 0
or
Tcos18° - mg = 0
or
T = mg / cos18.8°
on substituting the values, we have
T = (2kg x 9.8m/s²) / cos18°
or
T = 20.60 N
Now, applying the equilibrium condition in horizontal direction. we have
also, the centripetal acceleration
on substituting the values, we get
m(v² / r) = Tsin18°
v = (rTsin18° / m)
v = [(1.2m)(20.60 × sin18°) / 2kg]
v = 3.81 m/s
Answer:
As per the law of conservation of angular momentum, the angular velocity will be higher for the body with a lower moment of inertia and vice versa.
Explanation:
Angular momentum L of a body is given by:
Now when the same angular momentum is transferred to two different bodies with different moment of inertia, the body with a higher moment of inertia will have lower angular velocity and vice versa.
Acceleration can be defined as the change of speed in an instant of time, that is
Here,
Final velocity
Initial velocity
Change in time
From this expression we will calculate the requested values replacing the variables in each of the given terms
PART A) The values under this condition are:
Replacing,
PART B ) The values under this condition are:
Replacing,
Therefore the acceleration in the second time interval is
PART C) The values under this condition are:
Replacing,
Answer:
2.4 m/s
Explanation:
Given:
Velocity of the object moving north = 2.1 m/s
Velocity of the river moving eastward = 1.2 m/s
The resultant velocity is the vector sum of the velocities of object and river.
Since the directions of velocity of object and river are perpendicular to each other, the magnitude of the resultant velocity is obtained using Pythagoras Theorem.
The velocities are the legs of the right angled triangle and the resultant velocity is the hypotenuse.
The magnitude of the resultant velocity (R) is given as:
Therefore, the resultant velocity has a magnitude of 2.4 m/s.