Answer:
Acosθ
Explanation:
The x-component of a vector is defined as :
Magnitude * cosine of the angle
Maginitude * cosθ
The magnitude is represented as A
Hence, horizontal, x - component of the vector is :
Acosθ
Furthermore,
The y-component is taken as the sin of the of the angle multiplied by the magnitude
Vertical, y component : Asinθ
Answer:
64 kPa
Explanation:
The pressure exerted by a force on a surface is given by

where
p is the pressure
F is the force
A is the area on which the force is exerted
In this problem, let's call:
F = the weight of the performer, which is the force
A = the area of 1 stilt
At the beginning, the performer is standing on both stilts, so the area on which he exerts pressure is 2A. So the pressure is
(1)
Later, he stands on one stilt only. The force exerted is still the same (his weight), however, the area is now reduced to A; therefore, the new pressure is

which is twice the value calculated in (1); so, the new pressure is

Answer:
2. displacement is maximum
Explanation:
This makes sense as the spring is stretched the farthest at this point
F = kx
The largest force makes the largest acceleration.
A galaxy is a system of millions to billions of stars, and is held together by gravitational attraction. There are around 2 trillion galaxies.
Answer:
(a) 16.5528 V
(b) 827.64 W
Explanation:
(a)
The formula for maximum emf produced in a coil is given as
E₀ = BANω.................. Equation 1
Where E₀ = maximum emf produced in the coil, B = magnetic Field, A = Area of the rectangular coil, N = number of turns, ω = angular velocity.
Given: B = 1.9 T, N = 44 turns, ω = 110 rad/s, A = 2×9 = 18 cm² = 18/10000 = 0.0018 m²
Substitute into equation 1
E₀ = 1.9(44)(110)(0.0018)
E₀ = 16.5528 V
(b)
Maximum power
P₀ = E₀²/R...................... Equation 2
Where R = Resistance.
Given: R = 50 ohms, E₀ = 16.5528 V
Substitute into equation 2
P₀ = 50(16.5528)
P₀ = 827.64 W