The density of an object determines whether it will float or sink in another substance. An object will float if it is less dense than the liquid it is placed in. An object will sink if it is more dense than the liquid it is placed in.
So since the boat has a lower density than the water, it will float.
So the answer is choice B
Answer:k=28.29 kN/m
Explanation:
Given
mass ![m =7700 kg](https://tex.z-dn.net/?f=m%20%3D7700%20kg)
height from which Elevator falls ![h=32 m](https://tex.z-dn.net/?f=h%3D32%20m)
Let x be the compression in the spring
thus From conservation of Energy Potential energy will convert in to Elastic Potential Energy of spring
----------1
also maximum acceleration is 5g
thus
![mg-kx=ma](https://tex.z-dn.net/?f=mg-kx%3Dma)
here ![a=-5g](https://tex.z-dn.net/?f=a%3D-5g)
![kx=mg-m(-5g)=6mg](https://tex.z-dn.net/?f=kx%3Dmg-m%28-5g%29%3D6mg)
![x=\frac{6mg}{k}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B6mg%7D%7Bk%7D)
Substitute x in equation 1
![0.5\times k\times (\frac{6mg}{k})^2=mg(h+\frac{6mg}{k})](https://tex.z-dn.net/?f=0.5%5Ctimes%20k%5Ctimes%20%28%5Cfrac%7B6mg%7D%7Bk%7D%29%5E2%3Dmg%28h%2B%5Cfrac%7B6mg%7D%7Bk%7D%29)
![18\frac{(mg)^2}{k}=mgh+6\frac{(mg)^2}{k}](https://tex.z-dn.net/?f=18%5Cfrac%7B%28mg%29%5E2%7D%7Bk%7D%3Dmgh%2B6%5Cfrac%7B%28mg%29%5E2%7D%7Bk%7D)
![k=12\cdot \frac{mg}{h}](https://tex.z-dn.net/?f=k%3D12%5Ccdot%20%5Cfrac%7Bmg%7D%7Bh%7D)
![k=12\times \frac{7700\times 9.8}{32}](https://tex.z-dn.net/?f=k%3D12%5Ctimes%20%5Cfrac%7B7700%5Ctimes%209.8%7D%7B32%7D)
![k=28.29 kN/m](https://tex.z-dn.net/?f=k%3D28.29%20kN%2Fm)
length of the grilling machine is 1.2 m
time taken to cook the burger is 2.7 min = 162 s
so the speed of the machine should be like this that if must have to cook till it cross the machine
![v = \frac{d}{t}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bd%7D%7Bt%7D)
![v = \frac{1.2}{162}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1.2%7D%7B162%7D)
![v = 7.41* 10^{-3} m/s](https://tex.z-dn.net/?f=v%20%3D%207.41%2A%2010%5E%7B-3%7D%20m%2Fs)
now in one minute the total length of the machine that is covered is given by
![L = v*t](https://tex.z-dn.net/?f=L%20%3D%20v%2At)
![L = 7.41*10^{-3}* 60 = 44.4 cm](https://tex.z-dn.net/?f=L%20%3D%207.41%2A10%5E%7B-3%7D%2A%2060%20%3D%2044.4%20cm)
now distance between the burgers is 15 cm
so total production rate will be
![N = \frac{44.4}{15} = 3 burger/min](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7B44.4%7D%7B15%7D%20%3D%203%20burger%2Fmin)
so it will produce 3 burger per minute
Answer:
diameter of largest orbit is 0.60 m
Explanation:
given data
isotopes accelerates KE = 6.5 MeV
magnetic field B = 1.2 T
to find out
diameter
solution
first we find velocity from kinetic energy equation
KE = 1/2 × m×v² ........1
6.5 × 1.6 ×
= 1/2 × 1.672 ×
×v²
v = 3.5 ×
m/s
so
radius will be
radius =
........2
radius =
radius = 0.30
so diameter = 2 × 0.30
so diameter of largest orbit is 0.60 m
A sound wave leaves the loudspeaker. As it travels, it experiences a temporary increase in wavelength and then returns to its original wavelength. The sound wave traveled through a helium balloon (helium is less dense than air could explain this change in wavelength
The pattern of disruption brought on by energy moving away from the sound source is known as a sound wave. Longitudinal waves are what makeup sound. This indicates that the direction of energy wave propagation and particle vibrational propagation are parallel. The atoms oscillate when they are put into vibration.
A high-pressure and a low-pressure zone are created in the medium as a result of this constant back and forth action. Compressions and rarefactions, respectively, are terms used to describe these high- and low-pressure zones. The sound waves go from one medium to another as a result of these regions being transmitted to the surrounding media.
To learn more about sound waves please visit -
brainly.com/question/11797560
#SPJ1