Torque is equal position vector times (r) times force vector
(F). Since F= 10 N and r = 0.1 m, so the
torque is equal to (10 N) x ( 0.1 m) = 1Nm. The direction of the torque would
be into the screen, clockwise rotation.
Option (a) is correct.
Change in volume during the band concert might have been caused by the constructive and destructive interference of sound waves.
Interference is the process of redistribution of energy when two or more waves superimpose on each other.When two sound waves which are in phase superimpose on each other, constructive interference takes place. During constructive interference , the amplitude of resulting waves increases.Thus the loudness of sound increases.
When two sound waves which are out of phase superimpose on each other, destructive interference takes place. During destructive interference , the amplitude of resulting waves decreases.Thus the loudness of sound decreases.
Answer:
- The total distance traveled is 28 inches.
- The displacement is 2 inches to the east.
Explanation:
Lets put a frame of reference in the problem. Starting the frame of reference at the point with the 0-inch mark, and making the unit vector
pointing in the west direction, the ant start at position

Then, moves to

so, the distance traveled here is



after this, the ant travels to

so, the distance traveled here is



The total distance traveled will be:

The displacement is the final position vector minus the initial position vector:



This is 2 inches to the east.
Answer:633 m
Explanation:
First we have moved 300 m in North
let say it as point a and its vector is 
after that we have moved 500 m northeast
let say it as point b
therefore position of b with respect to a is
r
Therefore position of b w.r.t to origin is


![r_b=500cos(45)\hat{i}+\left [ 250\sqrt{2}+300\right ]\hat{j}](https://tex.z-dn.net/?f=r_b%3D500cos%2845%29%5Chat%7Bi%7D%2B%5Cleft%20%5B%20250%5Csqrt%7B2%7D%2B300%5Cright%20%5D%5Chat%7Bj%7D)
after this we moved 400 m
south of east i.e.
below from positive x axis
let say it as c


![r_c=500cos(45)\hat{i}+\left [ 250\sqrt{2}+300\right ]\hat{j}+400cos(60)\hat{i}-400sin(60)\hat{j}](https://tex.z-dn.net/?f=r_c%3D500cos%2845%29%5Chat%7Bi%7D%2B%5Cleft%20%5B%20250%5Csqrt%7B2%7D%2B300%5Cright%20%5D%5Chat%7Bj%7D%2B400cos%2860%29%5Chat%7Bi%7D-400sin%2860%29%5Chat%7Bj%7D)
![r_c=\left [ 250\sqrt{2}+200\right ]\hat{i}+\left [ 250\sqrt{2}+300-200\sqrt{3}\right ]\hat{j}](https://tex.z-dn.net/?f=r_c%3D%5Cleft%20%5B%20250%5Csqrt%7B2%7D%2B200%5Cright%20%5D%5Chat%7Bi%7D%2B%5Cleft%20%5B%20250%5Csqrt%7B2%7D%2B300-200%5Csqrt%7B3%7D%5Cright%20%5D%5Chat%7Bj%7D)
magnitude is ![\sqrt{\left [ 250\sqrt{2}+200\right ]^2+\left [ 250\sqrt{2}+300-200\sqrt{3}\right ]^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cleft%20%5B%20250%5Csqrt%7B2%7D%2B200%5Cright%20%5D%5E2%2B%5Cleft%20%5B%20250%5Csqrt%7B2%7D%2B300-200%5Csqrt%7B3%7D%5Cright%20%5D%5E2%7D)
=633.052
for direction

with x -axis