Answer:
(a) ![\theta=62.31^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D62.31%5E%7B%5Ccirc%7D)
(b)
Explanation:
It is given that,
Force acting on the particle, F = 12 N
Displacement of the particle, ![d=(2.00i -4.00j+3.00k)\ m](https://tex.z-dn.net/?f=d%3D%282.00i%20-4.00j%2B3.00k%29%5C%20m)
Magnitude of displacement, ![d=\sqrt{2^2+4^2+3^2}= 5.38\ m](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B2%5E2%2B4%5E2%2B3%5E2%7D%3D%205.38%5C%20m)
(a) If the change in the kinetic energy of the particle is +30 J. The work done by the particle is given by :
![W=Fd\ cos\theta](https://tex.z-dn.net/?f=W%3DFd%5C%20cos%5Ctheta)
is the angle between force and the displacement
According to work energy theorem, the charge in kinetic energy of the particle is equal to the work done.
So,
![cos\theta=\dfrac{W}{Fd}](https://tex.z-dn.net/?f=cos%5Ctheta%3D%5Cdfrac%7BW%7D%7BFd%7D)
![cos\theta=\dfrac{+30\ J}{12\times 5.38}](https://tex.z-dn.net/?f=cos%5Ctheta%3D%5Cdfrac%7B%2B30%5C%20J%7D%7B12%5Ctimes%205.38%7D)
![\theta=62.31^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D62.31%5E%7B%5Ccirc%7D)
(b) If the change in the kinetic energy of the particle is (-30) J. The work done by the particle is given by :
![cos\theta=\dfrac{W}{Fd}](https://tex.z-dn.net/?f=cos%5Ctheta%3D%5Cdfrac%7BW%7D%7BFd%7D)
![cos\theta=\dfrac{-30\ J}{12\times 5.38}](https://tex.z-dn.net/?f=cos%5Ctheta%3D%5Cdfrac%7B-30%5C%20J%7D%7B12%5Ctimes%205.38%7D)
Hence, this is the required solution.
Like a seesaw, it shows that the forces aren’t equal because if it was the seesaw would stay put
Answer:
James is correct here as the force of hand pushing upwards is always more than the force of hand pushing down
Explanation:
Here we know that one hand is pushing up at some distance midway while other hand is balancing the weight by applying a force downwards
so here we can say
Upwards force = downwards Force + weight of snow
while if we find the other force which is acting downwards
then for that force we can say that net torque must be balanced
so here we have
![F_{down} L_1 = W_{snow} L_2](https://tex.z-dn.net/?f=F_%7Bdown%7D%20L_1%20%3D%20W_%7Bsnow%7D%20L_2)
so here we have
![F_{down} = \frac{L_2}{L_1} (W_{snow})](https://tex.z-dn.net/?f=F_%7Bdown%7D%20%3D%20%5Cfrac%7BL_2%7D%7BL_1%7D%20%28W_%7Bsnow%7D%29)
so here we can say that upward force by which we push up is always more than the downwards force
The answer is n= 6.
What is Balmer series?
The Balmer series is the portion of the emission spectrum of hydrogen that represents electron transitions from energy levels n > 2 to n = 2. These are four lines in the visible spectrum. They are also known as the Balmer lines. The four visible Balmer lines of hydrogen appear at 410 nm, 434 nm, 486 nm and 656 nm.
For the Balmer series, the final energy level is always n=2. So, the wavelengths 653.6, 486.1, 434.0, and 410.2 nm correspond to n=3, n=4, n=5, and n=6 respectively. Since the last wavelength, 410.2 nm, corresponds to n=6, the next wavelength should logically correspond to n=7.
To solve for the wavelength, calculate the individual energies, E2 and E7, using E=-hR/(n^2). Then, calculate the energy difference between E2 (which is the final) and E7 (which is the initial). Finally, use lamba=hc/E to get the wavelength.
To learn more about emission spectrum click on the link below:
brainly.com/question/24213957
#SPJ4
The elastic potential energy stored in the stretched spring is 1 J.
<h3>What is Hooke's law?</h3>
Hooke's law states that; provided the elastic limit is not exceeded, the extension of the spring is directly proportional to the force on the spring.
Given that;
Force on the spring = 350 Newton
Distance stretched = 7 centimeters or 0.07 m
Hence;
F = ke
k = F/e = 350 Newton/0.07 m = 5000 N/m
Work done in stretching a spring = 1/2ke^2
= 0.5 × 5000 × (2 × 10^-2)^2 =1 J
Learn more about elastic potential energy: brainly.com/question/156316