Which one is the dependent variable in distance, force, or work
1 answer:
Answer:
Distance
Explanation:
Work can be defined as the energy transferred to a physical object by exertion of a force on the object to cause a displacement of the object. Thus, work is typically done when a person or simple machine move an object over a distance through the application of a force.
Mathematically, work done is given by the formula;
Where,
W is the work done
F represents the force acting on a body.
d represents the distance covered by the body.
A dependent variable is the event expected to change when an independent variable is manipulated.
Hence, distance is the dependent variable because its value changes with respect to the amount of force exerted on an object.
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Answer:
Explanation:
The gravitational pull between two object is given by:
Where M and m are the masses of the object, r is the distance between the masses and G = 6.67× 10⁻¹¹ m³kg⁻¹ s⁻² is the gravitational constant.
We have to calculate the net force on Earth due to Venus, Jupiter and Saturn when they are in one line. It means when they are the closest distance.
Mass of Earth, Me = 5.98 × 10²⁴ kg
Mass of Venus, Mv = 0.815 Me
Mass of Jupiter, Mj = 318 Me
Mass of Saturn, Ms = 95.1 Me
closest distance between Earth and Venus, rv = 38 × 10⁶ km = 0.25 AU
closest distance between Jupiter and Earth, rj = 588 × 10⁶ km = 3.93 AU
closest distance between Earth and Saturn, rs = 1.2 × 10⁹ km = 8.0 AU
where 1 AU = 1.5 × 10¹¹ m
Inserting the values:
Answer:
When both initial speed and initial displacement is doubled then amplitude will be doubled.
Explanation:
Given that :- Amplitude of simple harmonic Oscillator is doubled.
So,
Formula of Simple harmonic oscillator is ...........(1)
Where X = Position in (m,cm,km.....)
A = Amplitude in (m,cm,km.....)
F = Frequency in (Hz)
T = Time in (sec.)
Ф = Phase in (rad)
For initial displacement taking t=0 we get,
Initial displacement = .................(2)
Now taking equation (1) and differentiating it w.r.t to (t) we get
taking t=0 for initial speed then we get,
Initial speed = ...............(3)
observing equation (2) & (3) that the initial displacement and initial speed depends on the Amplitude of the Oscillator.
Hence,
when both initial speed and displacement is doubled then amplitude will be doubled.