Answer:2000cm3
Explanation: this is Charles' law which has the expression V1/T1 = V2/T2
Making V2 the subject of the formula, we have that
V2 = V1 x T2/ T1
= 1000 x 600 / 300
= 2000cm3
Where:
V1= initial velocity
V2= Final velocity
T1= initial temperature
T2= Final temperature
Answer:
1.65 m
Explanation:
The motion of the ball is a projectile motion, so it is a parabolic motion with two independent motions:
- on the x-axis, a uniform motion with constant speed 
- on the y-axis, a uniformly accelerated motion with constant acceleration 
downward.
First of all, we need to find the time t at which the ball has travelled halfway to the chatcher, i.e. at a distance of 
. This can be found by using the relationship between distance, time and velocity along the horizontal direction:
So now we can move to the vertical motion, and we can calculate the distance covered vertically by the ball while falling for t=0.58 s, by using:
The iron filings aligned themselves in a pattern, along with the magnet connecting the north and south poles. This creates the “magnetic field”. Interacting with a metal object in between the magnetic properties of the metal interact with the magnet, expressing signs of magnetic force acting on it and the metal, pulled together letting you see the see the effects of the magnetic fields using iron filings.
By the work-energy theorem, the total work done on the mass by the spring is equal to the change in the mass's kinetic energy:
<em>W</em> = ∆<em>K</em>
and the work done by a spring with constant <em>k</em> as it gets compressed a distance <em>x</em> is -1/2 <em>kx</em> ²; the work it does is negative because the restoring force of the spring points opposite the direction in which it's getting compressed.
So we have
-1/2 <em>k</em> (0.15 m)² = 0 - 1/2 (2.0 kg) (3.0 m/s)²
Solve for <em>k</em> to get <em>k</em> = 800 N/m.
