Answer:
The magnitude of the torque about the origin is 108 N-m.
Explanation:
Given that,
Mass of the stone, m = 2 kg
Length of the string, l = 0.5 m
Angular velocity of the stone,
The circle is parallel to the xy plane and is centered on the z axis, 0.75 m from the origin, r = 0.75 m
Firstly it is required to find the centripetal force acting on the stone. It is given by :
F = 144 N
Now the magnitude of the torque about the origin is given by :
So, the magnitude of the torque about the origin is 108 N-m. Hence, this is the required solution.
Answer:
Height covered after crossing window top = 0.75 m
Explanation:
In the question,
The height of the window pane = 1.8 m
Time for which the flowerpot is in view = 0.66 s
So,
The time for which it was in view while going up is = 0.33 s
Time for which it was in view while going down = 0.33 s
So,
Let us say,
The initial velocity of the flowerpot = u m/s
So,
Using the equation of the motion,
So,
Velocity at the top of the window pane is given by,
Now,
Let us say the height to which the flowerpot goes after crossing the window pane is = h
So,
Using the equation of motion,
Therefore, the height covered by the flowerpot after window is = 0.75 m
If you mean in mass, then the mass of one proton is approximately equal to the mass on one neutron. If you mean how many of each, then the number of protons is equal to the number of electrons. If the number of electrons was different from the number of protons, then you'd have an ion. An ion with a positive charge is a cation, and an ion with a negative charge is an anion.
On connecting a 9V battery to a Capacitor consisting of two circular plates of radius 0.066 m separated by an air gap of 2. 0 mm. The charge on the positive plate is 544.7 ×10⁻¹² C.
Capacitance of the capacitor is determined by the area of the plate of Capacitor and distance between the plates of capacitor.
Let the area of the Capacitor be A , radius of circular plates be r and distance between the plates of capacitor be d.
Given, Voltage, V = 9V
Radius, r = 0.066m
Distance, d = 2mm = 0.002m
Area of the Capacitor, A = πr²
A = π(0.066)²
A = 0.013m²
Capacitance, C = ε₀A / d
C = 8.85×10⁻¹²×0.013/0.002
C = 60.5 ×10⁻¹² F
C = 60.5 pF
We know that Q = CV where Q is the charge on capacitor.
Q = 60.5 ×10⁻¹² × 9
Q= 544.7 ×10⁻¹² C
Since, both plates of a capacitor acquire equal and opposite charge.
Hence the charge on the positive plate of the capacitor is 544.7 ×10⁻¹² C.
Learn more about Capacitance here, brainly.com/question/14746225
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Average velocity is defined as
now we have
when she cross the pool in time t1
when she cross the pool back to starting position
Here negative sign is for its return path direction which is reversed of its initial direction.
now for the round trip
displacement = 0
so v = 0