1. A vector is a unit vector if its magnitude is 1. Given
and are unit vectors, while is not, since
2. Given some vector , you can get the unit vector in the same direction as
If
then the unit vectors in the direction of and , respectively, are
3.
<h2>
Stopping force on the bullet is 1073.23 N to the left.</h2>
Explanation:
Mass of bullet, m = 11.0 g = 0.011 kg
Initial speed of bullet, u = 210 m/s
Final speed of bullet, v = 0 m/s
Displacement of bullet, s = 22.6 cm = 0.226 m
We have equation of motion v² = u² + 2as
Substituting
0² = 210² + 2 x a x 0.226
a = -97566.37 m/s²
We have
Force, F = Mass x Acceleration
F = 0.011 x -97566.37 = -1073.23 N
Negative means opposite to the direction of motion of bullet.
Stopping force on the bullet is 1073.23 N to the left.
How can my answer be incorrect if I haven't even figured it out yet ? ?
The volume of a cylinder is (pi) (radius²) (height, length, or depth).
The pool's diameter is 8m, so its radius is 4m .
The volume of the pool is (pi) (4m)² (1.6 m) = 25.6 pi m³ .
Filling it at the rate of 11 m³/hr, it will take
(25.6 pi / 11) = 7.308... hours to fill it to the brim.
Rounded to the nearest hour, that's 7 hours.
Answer:
2 and 3
Explanation:
because that's how kinetic and potential energy work
Answer:
a)
b)
Explanation:
a)
The width of the central bright in this diffraction pattern is given by:
when m is a natural number.
here:
- m is 1 (to find the central bright fringe)
- D is the distance from the slit to the screen
- a is the slit wide
- λ is the wavelength
So we have:
b)
Now, if we do m=2 we can find the distance to the second minima.
Now we need to subtract these distance, to get the width of the first bright fringe :
I hope it heps you!