Answer: k= 
Explanation:
Recall that the formula for kinetic energy is given below as
k = 
where k=kinetic energy (joules), m= mass of object (kg), v= velocity of object m/s)
For cart A
= mass of cart A
= v = velocity of cart A
= kinetic energy of cart A
hence, = 
For cart B
= mass of cart B
= 2v = velocity of cart B
= kinetic energy of cart B
hence, = 
= 2
from the question, both cart are identical which implies they have the same mass i.e = = m which implies that
and 
The total kinetic energy K is the sum of cart A and cart B kinetic energy
hence
Answer:
9.98 m/s
Explanation:
The force acting on the particle is defined by the equation:
[N]
where x is the position in metres.
The acceleration can be found by using Newton's second law:
where
m = 150 g = 0.150 kg is the mass of the particle. Substituting into the equation,
[m/s^2]
When x = 3.14 m, the acceleration is:
Now we can find the final speed of the particle by using the suvat equation:
where
u = 8.00 m/s is the initial velocity
v is the final velocity
x = 3.14 m is the displacement
Solving for v,
And the speed is just the magnitude of the velocity, so 9.98 m/s.
Answer:
Normal Conversation: i=106i0
i(dB)=60
Power saw a 3 feet: i=1011i0
i(dB)=110
Jet engine at 100 feet: i=1018i0
i(dB)=180
Explanation:
if these are the same as edge, then these are the answers! :)
You can reason it out like this:
-- The car starts from rest, and goes 8 m/s faster every second.
-- After 30 seconds, it's going (30 x 8) = 240 m/s.
-- Its average speed during that 30 sec is (1/2) (0 + 240) = 120 m/s
-- Distance covered in 30 sec at an average speed of 120 m/s
= 3,600 meters .
___________________________________
The formula that has all of this in it is the formula for
distance covered when accelerating from rest:
Distance = (1/2) · (acceleration) · (time)²
= (1/2) · (8 m/s²) · (30 sec)²
= (4 m/s²) · (900 sec²)
= 3600 meters.
_________________________________
When you translate these numbers into units for which
we have an intuitive feeling, you find that this problem is
quite bogus, but entertaining nonetheless.
When the light turns green, Andy mashes the pedal to the metal
and covers almost 2.25 miles in 30 seconds.
How does he do that ?
By accelerating at 8 m/s². That's about 0.82 G !
He does zero to 60 mph in 3.4 seconds, and at the end
of the 30 seconds, he's moving at 534 mph !
He doesn't need to worry about getting a speeding ticket.
Police cars and helicopters can't go that fast, and his local
police department doesn't have a jet fighter plane to chase
cars with.
