Given constant acceleration, we can get the final position of an object in terms of both its initial velocity and its acceleration using one of the equations of motion.
The equation that we will use is:
Xf = Xi + Vi*t + (1/2)*a*t^2
where:
Xf is the final position of the object
Xi is the initial position of the object
Vi is the initial velocity of the object
t is the time
a is the constant given acceleration
Answer:
Acceleration of the particle is 4.45 m/s² and acceleration direction is towards the 8 kg point mass.
Explanation:
Let m₁ be 8 kg point mass and m₂ be 12 kg point mass and take direction along m₁ mass as positive x-axis. The separation between twp point masses is 50 cm. According to the problem, a particle of mass m is held between the two point masses m₁ and m₂.
Distance between m₁ and m, r₁ = 20 cm = 0.2 m
Distance between m₂ and m, r₂ = (50 - 20) cm =30 cm = 0.3 m
The particle of mass m experiences an attractive gravitational force due to both the point masses. Thus, the net force on the particle of mass m is :
F = F₁ + F₂
F₁ is acting along the positive x axis and F₂ is acting along the negative x axis.

Substitute the values of G, m₁, m₂, r₁ and r₂ in the above equation.

F = 4.45m N/kg
Acceleration of the particle =
= 4.45 m/s²
The direction of acceleration of the particle is towards the 8 kg point mass.
Answer:
Explanation:
The original frequency of sound f₀
The apparent frequency of sound fa
For apparent frequency the formula is
fa =
, v is velocity of jumper which increases as he goes down .
Beat frequency
= fa - f₀
= 
= 
since v is very small in comparison to V , velocity of sound , in the denominator , v can be neglected.
beat frequency = 
v , the velocity of jumper will go on increasing as long as net force on the jumper is positive or
mg > kx where x is extension in the cord and k is its force constant . Below this point kx or restoring force becomes more than weight of the jumper and then net force on the jumper directs upwards. At this point beat frequency becomes maximum.
Answer:
Answer to #1, is D.
Explanation:
The theory of plate tectonics states that the Earth's solid outer crust, the lithosphere, is separated into plates that move over the asthenosphere, the molten upper portion of the mantle. This is also, a theory with the ring of fire.