The Kinetic Energy Formula is as follows: KE = mass x velocity^2 / 2
Plug in the correct numbers into the units!
KE = 4 kg x 16 m/s ^2 / 2
Square the 16 m/s.
KE = 4 kg x 256 m/s / 2
Multiply 4 x 256
KE = 1,024 / 2
Divide!
KE = 512 Newton-meters or Joules!!
I’d say 10200m as the answer not sure though
The wavelength of a wave of frequency 4 Hz and speed 2 m/s is 0.5 m.
Answer:
Explanation:
As we know that speed of a wave is directly proportional to the product of wavelength and frequency of the wave. If any two variables are known, then we can easily find the third parameter.
Like, in this case, the wavelength is not given, instead the frequency is given as 4 Hz and speed is given as 2 m/s, so the wavelength can be easily determined.
Speed = Wavelength × Frequency
Then Wavelength = speed/frequency
So, wavelength = 2/4=0.5 m
Thus, the wavelength of a wave of frequency 4 Hz and speed 2 m/s is 0.5 m.
Explanation:
For Gain of −10
Inverting op-amp gain is given by
The negative sign represents output signal being phase shifted by 180°
Ω
For Gain of −1
Ω
For Gain of +10
Non-inverting op-amp gain is given by
Ω
For Gain of +1
To get a Gain of +1, make which results in ∞
The output is directly connected to the input which makes equal to Therefore, giving a gain of exactly 1.
This kind of design configuration is also known as Voltage Follower.
Negative feedback is being used to design these op-amp amplifiers.
Negative feedback increases the stability at the cost of reduced gain.
The gain is reduced by a factor of
Negative feedback reduces noise and distortion and improves frequency response of the amplifier.
An ideal op-amp should have infinite input resistance and zero output resistance. Negative feedback increases the input impedance and reduces the output impedance.
Answer:
91.5 m/s
Explanation:
m = mass of clay = 12 g = 0.012 kg
M = mass of wooden block = 100 g = 0.1 kg
d = distance traveled by the combination before coming to rest = 7.5 m
μ = Coefficient of friction = 0.65
V = speed of the combination of clay and lock just after collision
V' = final speed of the combination after coming to rest = 0 m/s
acceleration caused due to friction is given as
a = - μ g
a = - (0.65) (9.8)
a = - 6.37 m/s²
Using the kinematics equation
V'² = V² + 2 a d
0² = V² + 2(- 6.37) (7.5)
V = 9.8 m/s²
v = speed of clay just before collision
Using conservation of momentum
m v = (m + M) V
(0.012) v = (0.012 + 0.100) (9.8)
v = 91.5 m/s