Force = change in momentum / time, Force in opposite direction so negative
-1.41 x 10⁶ = (p₂ - 3.87 x 10⁷) / 9.55
p₂ = 2.52 x 10⁷ Ns
Answer:
320 N/m
Explanation:
F = k·Δx
where
F is the restoring force of the spring
k is the proportionality constant called the ‘spring constant’
Δx is the change in the spring’s position due to the deformation.
You need the k so
25 cm= 0.25m
k=F/∆x = 80/0.25 = 320 N/m
<u>Answer</u>
3.44 m/s
<u>Explanation</u>
The motion apply the equations of Newton's law of motion. The ball is acceleration is -9.8 m/s² (acceleration due to gravity. It is negative because the ball is going against gravity, so it is decelerating).
The first equation of Newton's law of motion is;
V = U + at
Where V is the final velocity, U is the initial velocity, a is acceleration and t the time taken.
V = 25 + (-9.8 × 2.2)
= 25 - 21.56
= 3.44 m/s
Answer:
0.17547 m
Explanation:
m = Mass of block = ![3.3\times 10^{-2}\ kg](https://tex.z-dn.net/?f=3.3%5Ctimes%2010%5E%7B-2%7D%5C%20kg)
v = Velocity of block = 10.8 m/s
k = Spring constant = 125 N/m
A = Amplitude
The kinetic energy of the system is conserved
![\dfrac{1}{2}mv^2=\dfrac{1}{2}kA^2\\\Rightarrow \\\Rightarrow A=\sqrt{\dfrac{mv^2}{k}}\\\Rightarrow A=\sqrt{\dfrac{3.3\times 10^{-2}\times 10.8^2}{125}}\\\Rightarrow A=0.17547\ m](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%3D%5Cdfrac%7B1%7D%7B2%7DkA%5E2%5C%5C%5CRightarrow%20%5C%5C%5CRightarrow%20A%3D%5Csqrt%7B%5Cdfrac%7Bmv%5E2%7D%7Bk%7D%7D%5C%5C%5CRightarrow%20A%3D%5Csqrt%7B%5Cdfrac%7B3.3%5Ctimes%2010%5E%7B-2%7D%5Ctimes%2010.8%5E2%7D%7B125%7D%7D%5C%5C%5CRightarrow%20A%3D0.17547%5C%20m)
The amplitude of the resulting simple harmonic motion is 0.17547 m
Answer:
b.only when the current in the first coil changes.
Explanation:
An induced current flow in the second coil only when there is a change in current in the first cool. A steady current will produce no change in flux (due to magnetic effect of a current) by the first coil, and according to Faraday, induced current is only produced when there is a change in flux linkage.