Answer:
L_new =L+x^2 = L_new = 0.54_m.
Explanation:
Given data:
Force in the first case,
F_1 = 5N
Force in the second case,
F_2 = 20 N
Natural length of spring,
L= 0.5
Extension in the first case,
x_1 = 0.01m
Let the force constant of the spring be k.
Thus,
F_1=kx_1
5 = k × 0.01
⇒ k = 500 N/m.
The extension in the spring in the second case can be given as,
F_2=kx_2
20 = 500x_2
⇒ x_2 = 0.04 m.
Thus, the effective length of the spring would be,
L_new =L+x^2
L_new = 0.5+0.04
L_new = 0.54_m.
Answer:
A. They diverge on refraction
Explanation:
- The concave lens has the physical characteristics that both sides are curved inwardly. Due to this physical nature, the lens is thicker towards the outer circumference.
- Due to such physical characteristics of a concave lens, when parallel light rays strike on a concave lens, it is refracted and diverge out from the other side.
- When the diverging rays are traced back, it seems as if the rays are appearing from a point.
- This point is where the rays seem to appear is called the principal focus of the lens.
- Thus the image formed by the concave lens is erect, virtual and diminished.
<span>A.
Gravitational force is proportional to the square of the distance
between the centers of both bodies.
FALSE:
Gravitational force is inversely proportional to the square of the distance between the centers of both bodies.
Which you can see from the formula: F = G * [m*M] /(d^2)
As you see in the equation, d^2 is in the denominator so the bigger d^2 (the square of the distance between the centers) of the objects the smaller the gravitational force.
B. The object with the smaller mass
does most of the moving because the object with the larger mass has too
much inertia to move any noticeable amount.
TRUE:
F = mass * acceleration => acceleration = F / mass => the larger the mass the smaller the acceleration.
C. Gravitational force is
proportional to the product of the two masses.
TRUE:
F = G [m*M] / (d^2)
The product of the two masses, m*M, is in the numerator, so F is proportional to this product.
D. Every object in the
universe that has mass attracts every other object in the universe that
has mass.
TRUE: that is a Universal Law discovered by Sir Isaac Newton.
</span>
Answer:
55 mA
Explanation:
Ohm's law states:
V = IR
where V is voltage, I is current, and R is resistance.
220 V = I (4000 Ω)
I = 0.055 A
I = 55 mA
Formula for height
<span> r(t) = a/2 t² + v₀ t + r₀
</span><span> where
</span><span> a = acceleration = -32 ft/sec² (gravity)
</span><span> v₀ = initial velocity
</span><span> r₀ = initial height
</span><span> r(t) = -16t² + v₀ t + r₀
</span> <span>Tomato passes window (height = 450 ft) after 2 seconds:
</span><span> r(2) = 450
</span><span> -16(4) + v₀ (2) + r₀ = 450
</span><span> r₀ = 450 + 64 - 2v₀
</span><span> r₀ = 514 - 2v₀
</span><span> Tomato hits the ground (height = 0 ft) after 5 seconds:
</span><span> r(5) = 0
</span><span> -16(25) + v₀ (5) + r₀ = 0
</span> r<span>₀ = 16(25) - 5v₀
</span><span> r₀ = 400 - 5v₀
</span><span>
r₀ = 514 - 2v₀ and r₀ = 400 - 5v₀
</span> <span>514 - 2v₀ = 400 - 5v₀
</span><span> 5v₀ - 2v₀ = 400 - 514
</span> <span>3v₀ = −114
</span><span> v₀ = −38
</span><span> Initial velocity = −38 ft/sec (so tomato was thrown down)
</span><span> (initial height = 590 ft) </span>
