Answer:
I tried...
Explanation:
Assuming the English system of mass and weight is the same as the Imperial system, the measurements are:
• 1 pound (lb) = 16 ounces (oz)
• 2,000 pounds (lbs) = 1 ton (T)
I think that's everything?
Answer: -39.2 m/s directed downwards
Explanation:
We can solve this problem with the following equation:
Where:
is the ball's velocity at 4 s
is the ball's intial velocity, since it was dropped from rest
is the acceleration due gravity, aways directed downwards
is the time
Solving:
Finally:
<u>The negative sign indicates the velocity is downwards</u>
A). Since the bulbs are in series, their total resistance is the sum of their individual resistances. The total resistance in the series circuit is 6 ohms.
b). The current in the circuit is (voltage between the ends) / (total resistance) .
Current = 12 V / 6 ohms = 2 Amperes.
c). The power dissipated by any component can be expressed in different ways,
and if we're smart, we pick the formula that makes the problem easy for us.
-- Power = (voltage) x (current)
-- Power = (current)² x (resistance)
-- Power = (voltage)² / (resistance)
For this one, I think the middle formula is easiest.
Power = (current)² x (resistance) = (2 A)² x (3 ohms) = 12 watts for each bulb
d). Each bulb dissipates 12 watts,so for both bulbs, the battery has to supply 24 watts.
Check this solution with the first formula for power, above:
-- Power = (voltage) x (current)
Battery power = (battery voltage) x (current) = (12 V) x (2 A) = 24 watts Check. yay!
The initial speed of the bolt is not 58.86 m/s.
Let a be the acceleration of the rocket.
During the 4 sec lift off, the rocket has reached a height of
h = (1/2)*a*t^2
with t=4,
h = (1/2)*a^16
h = 8*a
Its velocity at 4 sec is
v = t*a
v = 4*a
The initial velocity of the bolt is thus 4*a.
During the 6 sec fall, the bolt has the initial velocity V0=-4*a and it drops a total height of h=8*a. From the equation of motion,
h = (1/2)*g*t^2 + V0*t
Substituting h0=8*a, t=6 and V0=-4*a into it,
8*a = (1/2)*g*36 - 4*a*6
Solving for a
a = 5.52 m/s^2