Answers are:
(1) KE = 1 kg m^2/s^2
(2) KE = 2 kg m^2/s^2
(3) KE = 3 kg m^2/s^2
(4) KE = 4 kg m^2/s^2
Explanation:
(1) Given mass = 0.125 kg
speed = 4 m/s
Since Kinetic energy = (1/2)*m*(v^2)
Plug in the values:
Hence:
KE = (1/2) * 0.125 * (16)
KE = 1 kg m^2/s^2
(2) Given mass = 0.250 kg
speed = 4 m/s
Since Kinetic energy = (1/2)*m*(v^2)
Plug in the values:
Hence:
KE = (1/2) * 0.250 * (16)
KE = 2 kg m^2/s^2
(3) Given mass = 0.375 kg
speed = 4 m/s
Since Kinetic energy = (1/2)*m*(v^2)
Plug in the values:
Hence:
KE = (1/2) * 0.375 * (16)
KE = 3 kg m^2/s^2
(4) Given mass = 0.500 kg
speed = 4 m/s
Since Kinetic energy = (1/2)*m*(v^2)
Plug in the values:
Hence:
KE = (1/2) * 0.5 * (16)
KE = 4 kg m^2/s^2
It's an interesting fact that scientists don't fully understand how it works. But it seems to be to do with molten metal circulating in the core. Given that it's just liquid metal sloshing around, it seems understandable that it won't always circulate perfectly - imagine the cloud bands in Jupiter's atmosphere - they are reasonably stable but change from time to time. When the liquid changes its speed or direction, however slowly it does so, the resulting magnetic field will move or switch direction.
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As scientists try to build better mathematical models of how the core works, they should be able to learn more about the magnetic field it produces. Hope this helps</span>
Answer:
Explanation:
The force to which the object of mass <em>m</em> is attracted to a star of mass <em>M</em> while being at a distance <em>r</em> is:
Where 
is the gravitational constant.
Also, Newton's 2nd Law tells us that this object subject by that force will experiment an acceleration given by <em>F=ma.</em>
We have then:
Which means:
The object departs from rest (
) and travels a distance <em>d</em>, under an acceleration <em>a</em>, we can calculate its final velocity with the formula 
, which for our case will be:
We assume <em>a</em> constant on the vecinity of the surface because d=0.025m is nothing compared with 
. With our values then we have:
Answer:
Explanation:
Period of the pendulum will not change as the period is not a function of mass
T = 2π√(L/g)
Period of the spring oscillator will increase with larger mass because period is a function of mass.
T = 2π/ω = 2π/√(k/m) = 2π√(m/k)
Answer:
a)Vr= 5 mph
b)Vr= 115 mph
Explanation:
Lets
your velocity ,u= 60 mph
velocity of truck ,v= 55 mph
When object are moving in opposite direction the relative velocity = u +v When object are moving in opposite direction the relative velocity = u - v
a)
Truck is moving in the same direction ,so the relative velocity
Vr= = u - v
Vr= 60 - 55
Vr= 5 mph
b)
Truck is moving in the opposite direction ,so the relative velocity
Vr= = u+v
Vr= 60 + 55
Vr= 115 mph
