Answer:
281.25 J
Explanation:
We are told that the two objects with masses m and 3m.
Also that energy stored in the spring is 375 joules.
Now, initially the centre of mass of the system took place at rest, it means v1 = v and v2 = v/3
Thus, from principle of conservation of energy, we have;
½mv² + ½(3m)(v/3)² = 375J
(m + 3m/9)½v² = 375
(4/3)m × ½v² = 375
Multiply both sides by ¾ to get;
½mv² = 375 × ¾
½mv² = 281.25 J
Therefore, energy of lighter body is 281.25 J
Ideal Gas Law is, pV = NkbT
<span>Therefore, p/t = Nkb/V which is
equal to the constant</span>
We need to convert the given temperature to Kelvin. We need to add 273 to
have the Kelvin of the temperature from Celsius.
T1= 20 + 273 = 293 K
T2= 120 + 273 = 393 K
With this we have the pressure ration of 393/293.
So,F120 = 1.34 APa
<span> </span>
Complete Question
The complete question is shown on the first uploaded image
Answer:
the compass direction of the resultant displacement is 
south of west
Explanation:
Generally using cosine we can obtain the resultant R as follows
=> 
=> 
We can obtain the direction of the resultant by first using sine rule to obtain angle C as follows
=> ![C= sin ^{-1} [\frac{A * (sin 70)}{R} ]](https://tex.z-dn.net/?f=C%3D%20%20sin%20%5E%7B-1%7D%20%5B%5Cfrac%7BA%20%2A%20%20%28sin%2070%29%7D%7BR%7D%20%5D)
=> ![C = sin ^{-1} [\frac{20 * (sin 70)}{19.48} ]](https://tex.z-dn.net/?f=C%20%3D%20%20sin%20%5E%7B-1%7D%20%5B%5Cfrac%7B20%20%2A%20%20%28sin%2070%29%7D%7B19.48%7D%20%5D)
=> 
Then the direction is obtained as
=> 
=>
Hence the compass direction of the resultant displacement is south of west
Answer:
N= 238 turns
Explanation:
The induced Emf that goes through a solenoid can be calculated using the below formula;
Where ξ=induced Emf
L= self inductance
I= current
ξ= L|dⁱ/dt|
Making L which is the self inductance subject of formula we have
L=ξ/[|dⁱ|*|dt|]
The current here is changing at the rate of
.0260 A/s
L=NΦB/i
N=ξ/Φ|di|*|dt|
Magnitude of the induced Emf given= 12.6mV then if we convert to volt we have 12.6×10⁻³ V
The current I = 1.40A
Magnitude flux through the flux=/0.00285 Wb
Then if we substitute all this Value to equation above we have
N=(12.6×10⁻³ V×1.40A)/(0.00285 Wb×0.0260 A/s)
N=238turn
Therefore, there are 238turns in the solenoid
The correct answer to the question is unbalanced .
EXPLANATION:
As per Newton's first laws of motion, we know that a body at rest will be at rest or a body moving with uniform velocity along a straight line will keep on moving with the same velocity along that line unless and until it is compelled by some external unbalanced forces acting on.
Hence, it is the unbalanced force which is responsible for creating the motion on the body.
As per the question, Anne applied some force on the toy car. It is called applied force. There is also frictional force between car and the surface which opposes the motion of the car. The toy car will move due to the net force acting on it. The net force is known as unbalanced force.
