Answer:
Explanation:
From newton's equation of motion of uniform acceleration
v = u + at
where v is final velocity , u is initial velocity , a is acceleration and time is t .
putting the values
v = 0 + .5 x 3 x 60 ( time in second = 3 x 60 s )
= 90 m /s
So , final velocity is 90 m /s .
Answer: n=4
Explanation:
We have the following expression for the volume flow rate
of a hypodermic needle:
(1)
Where the dimensions of each one is:
Volume flow rate 
Radius of the needle 
Length of the needle 
Pressures at opposite ends of the needle
and 
Viscosity of the liquid 
We need to find the value of
whicha has no dimensions, and in order to do this, we have to rewritte (1) with its dimensions:
(2)
We need the right side of the equation to be equal to the left side of the equation (in dimensions):
(3)
(4)
As we can see
must be 4 if we want the exponent to be 3:
(5)
Finally:
(6)
Answer: Yes.
Explanation:
Assuming Earth and Moon are isolated is space, it is possible to have a point where Earth and Moon will pull at an object with equal force.
That point will be closer to the Moon than the Earth because Moon's gravitational field strength is weaker than Earth's gravitational field strength.
The position of an oscillating mass is given by:

where A is the amplitude of the oscillation,
the angular frequency and t the time.
The velocity of the oscillating mass can be found by calculating the derivative of the position:

In this problem, A=2.0 cm and
, so if we substitute these data and t=0.4 s we can find the velocity at t=0.4 s:
