Answer with Explanation:
We are given that




a.Initial velocity of vessel,u=0
According to law of conservation of momentum

Where M=Mass of vessel


m/s
Magnitude,
b.
Hence, direction of the velocity of third piece=45 degree
Answer:
Explanation:
The energy stored in a spring
= 1/2 k x²
where k is spring constant and x is extension in the spring.
= .5 x 500 x .05²
= .625 J
Work done by friction = energy dissipated
= - μmg x d , μ is coefficient of friction , m is mass , d is displacement
= - .35 x 2.8 x 9.8 x .05
= - .48 J
energy of the mass when it reaches equilibrium position
= .625 - .48
= .145 J
If v be its velocity at that time
1/2 m v ² = .145
.5 x 2.8 x v² = .145
v² = .10357
v = .32 m /s
32 cm /s
<h3><u>Full question:</u></h3>
A generator consists of a 18-cm by 12-cm rectangular loop with 500 turns of wire spinning at 60 Hz in a 25 mT uniform magnetic field. The generator output is connected to a series RC circuit consisting of a 150 Ω and a 35 μF capacitor.What is the average power delivered to the circuit?
<h3><u>Answer:</u></h3>
The average power delivered to the circiut is 27.5 W
<h3>
<u>Solution:</u></h3>
Induced emf amplitude = N A B w
N- Number of turns of the coil
B- Magnetic field

Induced emf amplitude = 101.8 Volt

R = 150 ohm
![\begin{aligned}&z=\sqrt{\left[R^{2}+X_{c}^{2}\right]}=168 \text { ohm }\\&I_{\text {peak}}=\frac{101.8}{168}=0.606\ \mathrm{A}\\&P_{a v g}=\frac{l^{2} R}{2}=27.5\ \mathrm{W}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%26z%3D%5Csqrt%7B%5Cleft%5BR%5E%7B2%7D%2BX_%7Bc%7D%5E%7B2%7D%5Cright%5D%7D%3D168%20%5Ctext%20%7B%20ohm%20%7D%5C%5C%26I_%7B%5Ctext%20%7Bpeak%7D%7D%3D%5Cfrac%7B101.8%7D%7B168%7D%3D0.606%5C%20%5Cmathrm%7BA%7D%5C%5C%26P_%7Ba%20v%20g%7D%3D%5Cfrac%7Bl%5E%7B2%7D%20R%7D%7B2%7D%3D27.5%5C%20%5Cmathrm%7BW%7D%5Cend%7Baligned%7D)
The answer is: none of the above.
Explanation:
When light reflects from a surface, the frequency, wavelength, and speed do not change. They remain the same.
Answer:
a = 3.125 [m/s^2]
Explanation:
In order to solve this problem, we must use the following equation of kinematics. But first, we have to convert the speed of 90 [km/h] to meters per second.


where:
Vf = final velocity = 25 [m/s]
Vi = initial velocity = 0
a = acceleration [m/s^2]
t = time = 8 [s]
The initial speed is zero as the bus starts to koverse from rest. The positive sign of the equation means that the bus increases its speed.
25 = 0 + a*8
a = 3.125 [m/s^2]