Answer:
a)0.5564c
b)43.6 m
Explanation:
Given proper length of falcrum L₀= 43.6 m
improper length L=30.1 m (when viewed from moving frame)
we know that 

⇒
=



v=0.5564c
this is the required speed of falcon when it passes luke
b). Since Han solo is on the Falcon its reference frame will be falcon itself hence there wont be any change in the length of Falcon that its length will be
43.6 m
After impact velocity = 14.968 ft/s
Weight and mass of Bullet and wooden block:
Bullet: w = 1oz = 1/16 lb m = 0.001941 lb
wooden block : W = 5lb M = 0.15528 lb
velocity of block and bullet immediately after impact:
Σmv1 + ΣImp = mv2
Resolving vertical component
( m× v₀cos30⁰) + 0 = ( m+M) v'
v' = ( m× v₀cos30⁰)/ (m+M)
v' = 14.968 ft/s
Horizontal and vertical component of the impulse exerted by block on the bullet:
Here we will apply the principle of impulse and momentum.
Horizontal component:
-mv₀ cos30⁰ + RxΔt =0
RxΔt = mv₀sin30⁰
= 0.001941 × 1400sin30⁰
RxΔt = 1.3587 lb.s
Vertical component:
-mv₀cos30⁰ + RyΔt = -mv'
RyΔt = m( v₀cos30⁰-v')
RyΔt = 0.001941(1400cos30⁰ - 14.968)
= 2.32 lb.s
Learn more about impact here:
brainly.com/question/15008937
#SPJ4
Answer:

Explanation:
<u>Sum of Vectors in the Plane</u>
Given two vectors

They can be expressed in their rectangular components as


The sum of both vectors can be done by adding individually its components

If the vectors are given as a magnitude and an angle
, each component can be found as


The first vector has a magnitude of 3.14 m and an angle of 30°, so


The second vector has a magnitude of 2.71 m and an angle of -60°, so


The sum of the vectors is


Finally, we compute the magnitude of the sum



Explanation:
It is given that, the range of human hearing is roughly from twenty hertz to twenty kilohertz.
Minimum frequency, f = 20 Hz
Maximum frequency, f' = 20,000 Hz
We need to find the lengths of the longest and shortest pipes. For open pipes, the length of pipe is given by :

For shortest pipe, frequency should be maximum, 
l = 0.008575 m
For longest pipe, frequency should be minimum, 
l' = 8.575 m
So, the lengths of longest and shortest pipes are 8.575 meters and 0.008575 meters respectively.
During the first collision, the vehicle comes to an abrupt stop.