The calculation for the horizontal component is performed as follows:
Vhorizontal = V · cos(angle)
For your instance, Vhorizontal = 16 · cos(40) equates to 12.3 m/s
Conclusion: 12.3 m/s
Answer:
Explanation:
For a 60W light bulb used for 1 minute:
P = 60 W
t = 1 minute = 60 seconds
This energy is capable of lifting an object weighing 10N.
W = 10N
This indicates conversion of electrical energy into potential energy.
Let's calculate the electrical energy:
Power describes the rate of work done.
Power = Work / time
Thus, work = power × time
Work = 60 × 60
Work = 3600 J
Potential energy calculation:
P.E = mgh
Where the weight is given by:
W = mg
Therefore, P.E = W·h
P.E = 10·h
Thus, we equate:
Potential energy = Electrical energy
P.E = Work
10·h = 3600
Dividing both sides by 10 gives:
h = 3600 / 10
h = 360m
The object can be lifted to a height of 360m.
To tackle this question, we know the following:
1 Albert equals 88 meters.
1 A = 88 m.
Initially, we square both sides of the equation:
(1 A)^2 = (88 m)^2
1 A^2 = 7,744 m^2
<span>Since 1 acre equals 4,050 m^2, let’s divide both sides by 7,744 to find out how many acres match this value:</span>
1 A^2 / 7,744 = 7,744 m^2 / 7,744
(1 / 7,744) A^2 = 1 m^2
Then multiply both sides by 4,050.
(4050 / 7744) A^2 = 4050 m^2
0.523 A^2 = 4050 m^2
<span>Thus, one acre is approximately 0.52 square alberts.</span>
The maximum depth at which he could still breathe, given the pressure of -74 mm Hg, equates to 0.98 m. Pressure of -74 mm Hg translates to 9605 Pa or 9709 N/m². With the density of water set at 1000 kg/m³, we can utilize the pressure equation P = rho g h to determine h, deriving that h = 0.98 m.
