Answer:
The Ferris wheel's tangential (linear) velocity if the net centripetal force on the woman is 115 N is <u>3.92 m/s</u>.
Explanation:
Let's use <u>Newton's 2nd Law</u> to help solve this problem.
The force acting on the Ferris wheel is the centripetal force, given in the problem:
.
The mass "m" is the <u>sum</u> of the man and woman's masses:
.
The acceleration is the centripetal acceleration of the Ferris wheel:
.
Let's write an equation and solve for "v", the tangential (linear) acceleration.
The Ferris wheel's tangential velocity is 3.92 m/s.
Answer:
a. 5 batteries b. 1050 mAh
Explanation:
Here is the complete question
A student project is required to be portable and hand held. It requires 6 V DC power at a current of 150 mA. The batteries for the power supply must last for a minimum of 7 hours of continuous operation. NiMH rechargeable batteries in AA size are to be used. A) How many batteries are needed? B) What mAh capacity should the batteries have?
Solution
A) How many batteries are needed?
Since the nominal voltage for a single NiMH battery is 1.2 V per battery and we require 6V DC power, we combine the batteries in series to obtain a total voltage of 6 V. The number of batteries required, n = total voltage/voltage per cell = 6V/1.2V per battery = 5 batteries
So, the number of batteries needed is 5.
B) What mAh capacity should the batteries have?
Since the batteries are in series, they would each deliver a current of 150 mA. Since we require a current of 150 mA for 7 hours, the number of milliampere-hours capacity mAh of batteries required is Q = It where I = current = 150 mA and t = time = 7 hours.
So, Q = It = 150 mA × 7 h = 1050 mAh.
So, the batteries should have a mAh of 1050 mAh
C is the correct answer but the best possible answer is that work is done when a force is imposed on an object and the object moves in the same direction as the force
Hope this helps!
Complete Question
An infinite sheet carries a uniform, positive charge per unit area. The electric field produced by the sheet is represented by parallel lines drawn with a density N lines per m2 that are perpendicular to and away from the sheet. The charge per unit area on the sheet is doubled. How should the density of the electric field lines be changed?
A It should stay the same
B It should be quadrupled.
C It should be quintupled
D It should be doubled.
E It should be tripled
Answer:
Option D is the correct option
Explanation:
Generally electric field is mathematically represented as

Where
is the charge per unit area (Charge density )
From the question we are told that
is doubled hence the
Looking the equation above we see that the value of the electric field will also double given that it is directly proportional to the charge density
Answer:
Explanation:
a )
Time period T = 1/3 s
angular velocity = 2π / T
= 2 x 3.14 x 3
ω = 18.84 radian / s
b )
Applying conservation of angular momentum
I₁ ω₁ = I₂ ω₂
I₁ / I₂ = ω₂ / ω₁
2 = ω₂ / ω
ω₂ = 2 ω
c )
(KE)initial = 1/2 I₁ ω²
(KE)final = 1/2 I₂ ω₂²
= 1/2 (I₁ / 2) (2ω)²
= I₁ ω²
c )
Change in rotational kinetic energy
= I₁ ω² - 1/2 I₁ ω²
= + 1/2 I₁ ω²
d )
This energy comes from the work done by centripetal force which is increased to increase the speed of rotation.