Answer:
F = 0.768 i ^ - 0.576 j ^ + 0.24 k ^
the correct answer is "b"
Explanation:
The magnetic force is
F = i l x B
The bold are vectors, in this case they give us the direction of the current and the magnetic field, for which we can solve as a determinant
![F = i \left[\begin{array}{ccc}x&y&z\\3&4&0\\0&5&12\end{array}\right]](https://tex.z-dn.net/?f=F%20%3D%20i%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%26z%5C%5C3%264%260%5C%5C0%265%2612%5Cend%7Barray%7D%5Cright%5D)
resolver
F = i ^ (4 12 - 0) + j ^ (0- 3 12) + k ^ (3 5 - 0)
F = i (48 i ^ - 36 j ^ + 15 k⁾
in this case i is the value of the current flowing through the cable
i = 16 mA = 0.016 A
F = 0.768 i ^ - 0.576 j ^ + 0.24 k ^
When reviewing the different answers, the correct answer is "b"
Answer:
q = 0.0003649123 m²/s = (3.65 × 10⁻⁴) m²/s
Explanation:
For laminar flow between two parallel horizontal plates, the volumetric flow per metre of width is given as
q = (2h³/3μ) (ΔP/L)
h = hydraulic depth = 4mm/2 = 2mm = 0.002 m
μ = viscosity of oil (SAE 30) at 15.6°C = 0.38 Pa.s
(ΔP/L) = 26 KPa/m = 26000 Pa/m
q = (2h³/3μ) (ΔP/L)
q = (26000) × (2(0.002³)/(3×0.38))
q = 0.0003649123 m²/s = (3.65 × 10⁻⁴) m²/s
Answer:
the required height is 0.2449 m only
Explanation:
Given the data in the question;
Initial height = 2m
so speed of the puck before hitting the ground will be;
u² = 2gh
Initial speed u_ball = √2gh
u_ball = √( 2 × 9.8 × 2 )
u_ball = √39.2
u_ball = 6.26 m/s
given that; FOR THE FROZEN PUCK, coefficient of restitution = 0.35 only
R = - (v_ball - v_ground / u_ball - u_ ground)
so
0.35 = - (v_ball - 0 / 6.26 - 0)
0.35 = -v_ball / - 6.26
-v_ball = 0.35 × (- 6.26)
-v_ball = -2.191 m/s
v_ball = 2.191 m/s
to get the height;
v² = 2gh
h = v² / 2g
we substitute
h = (2.191)² / 2×9.8
h = 4.800481 / 19.6
h = 0.2449 m
Therefore, the required height is 0.2449 m only
The height of the ball is 2.45 m.
To calculate the height of the ball, we use the formula below.
<h3>Formula</h3>
- E = mgh................ Equation 1
Where:
- E = Elastic energy of the spring
- m = mass of the ball
- h = height of the ball
- g = acceleration due to gravity.
make h the subject of the equation
- h = E/mg...............Equation 2
From the question,
Given:
- E = 7.2 J
- m = 0.3 kg
- g = 9.8 m/s²
Substitute these values into equation 2
- h = 7.2/(0.3×9.8)
- h = 7.2/2.94
- h = 2.45 m
Hence, The height of the ball is 2.45 m.
Learn more about height here: brainly.com/question/1739912
