Answer:
(a) 1.11 m
(b) 4760 kgm/s
Explanation:
height of plane (h) = 370 m
velocity (v) = 56 m/s
mass (m) = 85 kg
force = 1.2 x 10^{5} N = 120,000 N
(a) We can get the minimum depth of snow from the equation below
force x depth = kinetic energy on impact
f x d = 0.5 x m x v^{2}
120000 x d = 0.5 x 85 x 56^{2}
d= (0.5 x 85 x 56^{2}) ÷ 120000 = 1.11 m
(b) the magnitude of impulse is equal to the momentum of the paratrooper and his gear
= m x v
= 85 x 56 = 4760 kgm/s
Question #1:
a). The sketch is attached to this answer.
b). The equivalent resistance of 30Ω and 50Ω in parallel is
1 / (1/30 + 1/50) =
18.75 Ωc). I = V/R = (100/30) =
(3 and 1/3) Amperesd). Follow the wires, and you see that the 50Ω resistor is
connected directly to the battery, and so is the voltmeter.
So the voltage across the 50Ω resistor, and the reading
on the voltmeter, is
100 volts.e). I = V/R
Through the 30Ω resistor: I = 3-1/3 A
Through the 50Ω resistor: I = 2 A
f). In the parallel circuit, both resistors are connected
directly to the battery. So neither resistor even knows
that the other one is there.
Each resistor sees 100 volts,
and the current through each resistor is 100/R, just as if
it were the only resistor in the circuit.
Answer:
P = mgh/t = 61(9.8)(0.32)/1.8 = 106.275555... ≈ 110 W
Explanation:
Power is the rate of doing work.
The work changes her potential energy.
Complete question:
A taut rope has a mass of 0.123 kg and a length of 3.54 m. What average power must be supplied to the rope to generate sinusoidal waves that have amplitude 0.200 m and wavelength 0.600 m if the waves are to travel at 28.0 m/s ?
Answer:
The average power supplied to the rope to generate sinusoidal waves is 1676.159 watts.
Explanation:
Velocity = Frequency X wavelength
V = Fλ ⇒ F = V/λ
F = 28/0.6 = 46.67 Hz
Angular frequency (ω) = 2πF = 2π (46.67) = 93.34π rad/s
Average power supplied to the rope will be calculated as follows

where;
ω is the angular frequency
A is the amplitude
V is the velocity
μ is mass per unit length = 0.123/3.54 = 0.0348 kg/m
= 1676.159 watts
The average power supplied to the rope to generate sinusoidal waves is 1676.159 watts.