Answer:
384N
Explanation:
Given parameters:
Mass = 3kg
radius = 0.5m
Speed = 8m/s
Unknown:
Centripetal force = ?
Solution:
The centripetal force is the inward force that keeps a body in motion along a circular path.
It is mathematically expressed as;
F =
m is the mass
v is the speed
r is the radius
Now insert the parameters and solve;
F =
= 384N
Answer:
3. 5.0N/kg
Explanation:
Gravitational field strength = gravitational force/mass of astronaut = 350N/70kg = 5.0N/kg
Answer:
See answer
Explanation:
The area of the circular loop is given by:
![A = \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E2)
The magnetic flux is given by:
![\phi = \int \vec{B} \cdot d\vec{A}](https://tex.z-dn.net/?f=%5Cphi%20%3D%20%5Cint%20%5Cvec%7BB%7D%20%5Ccdot%20d%5Cvec%7BA%7D)
is parallel to
and
is constant in magnitude and direction therefore:
![\phi = \int \vec{B} \cdot d\vec{A}= \int BdAcos(0)= B\int dA= B*(\pi r^2)= \pi Br^2](https://tex.z-dn.net/?f=%5Cphi%20%3D%20%5Cint%20%5Cvec%7BB%7D%20%5Ccdot%20d%5Cvec%7BA%7D%3D%20%5Cint%20BdAcos%280%29%3D%20B%5Cint%20dA%3D%20B%2A%28%5Cpi%20r%5E2%29%3D%20%5Cpi%20Br%5E2)
Part A)
initially the flux is ![\phi =\pi B r^2](https://tex.z-dn.net/?f=%5Cphi%20%3D%5Cpi%20B%20r%5E2)
after the interval
the flux is
![\phi = 0](https://tex.z-dn.net/?f=%5Cphi%20%3D%200)
now, the EMF is defined as:
,
if we consider
very small then we can re-write it as:
![\epsilon =- \frac{\Delta \phi}{\Delta t}](https://tex.z-dn.net/?f=%5Cepsilon%20%3D-%20%5Cfrac%7B%5CDelta%20%5Cphi%7D%7B%5CDelta%20t%7D)
then:
![\epsilon =- \frac{-0.12}{0.0024} = 50 [V]](https://tex.z-dn.net/?f=%5Cepsilon%20%3D-%20%5Cfrac%7B-0.12%7D%7B0.0024%7D%20%3D%2050%20%5BV%5D)
Part B)
When looked down from above, the current flows counter clockwise, according to the right hand rule, if you place your thumb upwards (the direction of the magnetic field) and close your fingers, then the current will flow in the direction of your fingers.
Answer:
Not the right answer in the options, speed is 4.47 m/s, and the procedure is coherent with option A
Explanation:
Answer A uses mass and velocity units, which are momentum units. By using the conservation of momentum:
.![p_{initial} =p_{final} \\m_{Tom}*v_{Tom}+m_{raft}*v_{raft}=(m_{Tom}+m_{raft})*v_{both} \\70*10+130*1.5 kg*m/s=895kg*m/s\\v_{both}=\frac{895 kg*m/s}{200 kg} =4.47 m/s](https://tex.z-dn.net/?f=p_%7Binitial%7D%20%3Dp_%7Bfinal%7D%20%5C%5Cm_%7BTom%7D%2Av_%7BTom%7D%2Bm_%7Braft%7D%2Av_%7Braft%7D%3D%28m_%7BTom%7D%2Bm_%7Braft%7D%29%2Av_%7Bboth%7D%20%5C%5C70%2A10%2B130%2A1.5%20kg%2Am%2Fs%3D895kg%2Am%2Fs%5C%5Cv_%7Bboth%7D%3D%5Cfrac%7B895%20kg%2Am%2Fs%7D%7B200%20kg%7D%20%3D4.47%20m%2Fs)
Since Tom stays in the raft, then both are moving with the same speed. From the options, the momentum is in agreement with option A, however, the question asks for speed.
Answer:
C. relatively large size
Explanation:
Earth's internal heat flow to the surface is 80% due to mantle convection while the remaining heat mostly originates in the Earth's crust and about 1% due to volcanic activity, earthquakes, and mountain building.
The earth's internal heat- stresses between the lithosphere and the upper mantle are responsible
for geological processes. These stresses are the results of motions in the upper mantle stemming from convection that push the lithosphere in different directions.
Larger planets cool slower than small planets.