Answer:
a) v_Nort = 2.236 m / s
, θ = 56.3º, b) t= 53.76 s
Explanation:
This exercise should use the addition of vectors, we have a kayak speed of v₁ = 3 m / s and an eastward speed of water v₂ = 2.0 m / s.
They ask us to cross the river that is to the north, we see that the speed of the kayak is the hypotenuse of the triangula, see attached
v₁² = v_nort² + v₂²
v _nort² = v₁² –v₂²
v_nort = √ (3² - 2²)
v_Nort = 2.236 m / s
For the angle we can use trigonometry
tan θ = v₂ / v₁
θ = tan⁻¹ v₂ / v₁
θ = tan⁻¹ 2/3
θ = 33.7º
This angle measured from the positive side of the x axis is
θ = 90 - 33.7
θ = 56.3º
b) we look for the northward component of this speed
sin 56.3 =
/ v_nort
v_{y} = v_nort sin 56.3
v_{y} = 2.236 sin 56.3
v_{y} = 1.86 m/s
The time is
v_{y} = y/t
t = y/v_{y}
t =100/ 1.86
t= 53.76 s
1 BTU mean 1 degree of F increased for 1 pound mass. Since the mass unit is in kg that means you need to convert it into pound. One metric ton means 1000kg and 1 kg mean 2.20462lb, then the water mass is: 1000kg x 2.20462lb/kg= 2204.62lb.
You are putting 110,000 btus of heat, so the calculation would be
Temperature increase= energy/mass = 110000btus/ 2204.62lb= 49.9 degree
Answer:
Two mass nuclei are joined to form one nucleus
Explanation:
As the name implies "fusion", it is the joining of lighter nucleus to form a heavier nucleus to produce energy
Work done = Potential Energy = (mg)h
mg = weight of the ball
= 1000 N * 2.5 m = 2500 Joules.
The work done during the 5 second is 2500 Joules.
Answer:
- longitudinal waves only
Explanation:
The P seismic waves travel as elastic motions at the highest speeds. They are longitudinal waves that can be transmitted by both solid and liquid materials in the Earth's interior.