Answer:
Mechanical advantage = 20
Explanation:
Given:
Output force = 8,000 N
Input force = 400 N
Find:
Mechanical advantage
Computation:
Mechanical advantage = Output force / Input force
Mechanical advantage = 8,000 / 400
Mechanical advantage = 20
Answer:
Explanation:
Energy stored in a capacitor
= 1/2 C₁V²
capacity of a capacitor
c = εK A / d
k is dielectric and d is distance between plates .
When the distance between the plates is halved and then filled with a dielectric (κ = 4.3)
capacity becomes 4.3 x 2 times
New capacity
C₂ = 8.6 C₁
Energy of modified capacitor
1/2 C₂ V²= 1/2 x 8.6 c x V²
Energy becomes
8.6 times.
Energy stored = 8.6 x 10⁻⁴ J
The length of copper wire this motorcyclist must use is equal to 8.56 meters.
<u>Given the following data:</u>
- Voltage of the motorcycle, V = 12 V
- Diameter of the copper wire, d = 0.25 mm
- Current in the wire, I = 4.0 A
Radius, r = diameter/2 = 0.12.5 mm = 0.000125 m.
Resistivity of the copper wire, ρ = 1.72 × 10⁻⁸ Ω-m.
<h3>How to determine the
resistance?</h3>
By applying Ohm's law, the resistance of this copper wire can be calculated by using this formula:
R = V/I
R = 12/4
Resistance, R = 3 Ohms.
Mathematically, the resistance of any conductor (wire) in terms of length is given by this formula:
Length = RA/ρ
Length = Rπr²/ρ
Length = [3 × 3.142 × (0.000125)²]/1.72 × 10⁻⁸
Length = 14.73 × 10⁻⁷/1.72 × 10⁻⁸
Length = 8.56 meters.
Read more on resistance and length here: brainly.com/question/13930397
#SPJ4
Answer:
1.41 m/s, 7.85 rad/s
Explanation:
We can start by calculating the tangential velocity, which is given by:
where
r = 18 cm = 0.18 m is the radius of the circumference
T = 0.8 s is the period
Substituting,
Now we can also calculate the angular velocity, which is given by:
where again,
T = 0.8 s is the period
Substituting,
Answer:
Explanation:
We shall apply Doppler's effect here .
original frequency = 79.79 kHz
apparent frequency due to movement of source ( bat ) = 81.63 Hz
Let the velocity of bat be v .
expression for apparent frequency can be given as follows
n =
n is apparent frequency , n₀ is original frequency , V is velocity of light and v is velocity of source of sound
Putting the values
81.63 =
340-v = 332.33
v = 7.67 m /s
velocity of bat is 7.67 m /s .