For full negative cycle and some part of positive cycle, there is be a voltage drop across the load.
What is diode?A diode is a semiconductor gadget that essentially switches current in a single direction. While significantly limiting current flow in the opposite direction, it permits easy flow in one direction.
In this given circuit, diode is placed such that the only positive half cycle of ac voltage can passes through it but an opposite potential also applied. Hence, for a certain level and upward the diode acts as short and for full negative cycle and some part of positive cycle, there is be a voltage drop across the load.
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A sprinter with a mass of 70 kg accelerates at a rate of 5 m/s2. What force is the sprinter exerting?
Answer:
The force exerted by the sprinter can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration:
F = m * a
where:
F is the force
m is the mass of the object (70 kg)
a is the acceleration (5 m/s^2)
Plugging in the values, we get:
F = 70 kg * 5 m/s^2
F = 350 N
So, the sprinter is exerting a force of 350 N. This is the force that the sprinter's legs are applying to the ground, propelling them forward and producing the acceleration.
A bird is flying due east. Its distance from a tall building is given by x(t)=29.0m+(12.8m/s)t−(0.0450m/s3)t3. What is the instantaneous velocity of the bird when t = 8.0s?
The velocity of the bird would be 4.16 m/s².
What is instantaneous velocity?The velocity of a body at any specific instant of time is called instantaneous velocity. Mathematically, we can write -{v} = dx/dt
Given is that a bird is flying due east. Its distance from a tall building is given by -
x{t} = 29 + 12.8t - 0.0450t³
Instantaneous velocity is given by -
{v} = dx/dt ... Eq { 1 }
Now -
v = dx/dt = d/dt (29 + 12.8t - 0.0450t³)
v = dx/dt = 0 + 12.8 - (3 x 0.0450t²)
v = dx/dt = 12.8 - 0.135t²
v{8} = dx/dt = 12.8 - 0.135 x 8 x 8
v{8} = dx/dt = 12.8 - 8.64
v{8} = dx/dt = 4.16
Therefore, the velocity of the bird would be 4.16 m/s².
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During a typical afternoon thunderstorm in the summer, an area of 57.0 km2 receives 5.81 X 10^8 gal of rain in 18 min. How many inches of rain fell during this 18 min period?
1.5189 inches of rain fell during this 18 min period.
What is the unit of rainfall?The amount of rain that fell in total over a specific time period, measured in millimeters, is the most typical rainfall measurement.
Area = 57.0 km² = 57.0 × 1000 × 1000 m²
Volume of water = 5.81 × 10⁸ gallon = 5.81 × 10⁸ × 0.00378541 m³ = 2199323.21 m³
Hence, the height of the rain water
= (2199323.21 m³) ÷ (57.0 × 1000 × 1000 m²)
= 0.03858 m
= 0.03858 × 39.3701 inch
= 1.5189 inch
So, 1.5189 inches of rain fell during this 18 min period.
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A very thin sheet of brass contains two thin parallel slits. When a laser beam shines on these slits at normal incidence and room temperature (20.0 ∘C ), the first interference dark fringes occur at ± 26.6∘ from the original direction of the laser beam when viewed from some distance. If this sheet is now slowly heated up to 135 ∘C , by how many degrees do these dark fringes change position? Coefficient of linear expansion for brass is α=2.0×10−5(∘C)−1 . Ignore any effects that might occur due to change in the thickness of the slits. (Hint: Since thermal expansion normally produces very small changes in length, you can use differentials to find the change in the angle.)
We do not know the value of L0 and d, we cannot calculate the exact change in angle. However, we can find the order of magnitude of Δθ by using the values given in the problem.
How solve the problem?The change in the angle can be calculated by using the formula for linear expansion: ΔL = L0 * α * ΔT, where ΔL is the change in length, L0 is the initial length, α is the coefficient of linear expansion, and ΔT is the change in temperature.
We can assume that the distance between the two slits is the length L0. The change in length ΔL will cause a change in the angle of the dark fringes, which can be calculated using the formula: Δθ = ΔL / d, where Δθ is the change in angle and d is the distance from the slits to the observation point.
So, ΔL = L0 * α * ΔT = L0 * α * (135 - 20)
Δθ = ΔL / d
Substituting the given values, we get:
Δθ = L0 * α * (135 - 20) / d
= L0 * 2.0 x 10^-5 * 115 / d
Since we do not know the value of L0 and d, we cannot calculate the exact change in angle. However, we can find the order of magnitude of Δθ by using the values given in the problem.
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Starting from a location with position vector 1,=−18.7 m
and 1,=21.5 m
, a rabbit hops around for 10.7
seconds with average velocity ,=−2.17 m/s
and ,=1.71 m/s
. Find the components of the position vector of the rabbit's final location, 2,
and 2,
^ is the same as the picture
The components of the position vector of the rabbit's final location r₂, x and r₂, y is 36.77 m.
How to calculate position?To find the final location of the rabbit, calculate the displacement of the rabbit, which is given by the product of average velocity and time.
r₂, x = 1, + vx x t = -18.7 - 2.17 x 10.7 = -43.77 m
r₂, y = 1, + vy x t = 21.5 + 1.71 x 10.7 = 36.77 m
Therefore, the components of the position vector of the rabbit's final location are r2x = -43.77 m and r2y = 36.77 m.
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