Answer:
tension in the rope is 22.29 N
angle is 56.06 degree
Explanation:
Given data
mass = 1.27 kg
horizontal force = 18.5 N
acceleration = 9.81 m/s2
to find out
magnitude and the rope angle
solution
we know object is in equilibrium so net force is zero here
so net force at x axis = 0 that mean F - Tsinθ = 0 , F = Tsinθ
and net force at y axis = 0 that is T cosθ - mg = 0 , T cosθ = mg
in equilibrium condition
F / mg = Tsinθ / T cosθ
18.5/ 1.27× 9.81 = sinθ / cosθ
so θ = tan^-1 (1.4859)
θ = 56.06 degree
angle is 56.06 degree
so F = Tsinθ
18.5 = T sin(56.06)
T = 18.5 / 0.8296
tension in the rope is 22.29 N
Some examples of stable system are:
1) functions of sine
2) DC
3) signum
4) unit step
5) cosine.
Happy Studying! ^^
Astronomers discover an exoplanet, a planet orbiting a star other than the sun, that has an orbital period of 4.50 earth years in a circular orbit around its star, which has a measured mass of 3.60×1030 kg.
The length of time it takes an astronomical object to complete one orbit around another object is known as the orbital period (also known as the revolution period). In astronomy, it typically refers to bodies like planets or asteroids revolving about the Sun, as well as moons circling other stars, exoplanets, and double stars.
A year refers to the orbital period of the Earth. A day is a period of rotation. 24 hours make up a solar day, although the Earth rotates around the sun by one degree every day. We can determine the orbital period by noting the interval between transits. If the mass of the orbiting star is known, one may use Kepler's Third Law to calculate the orbital radius of the planet (R3=T2Mstar/Msun; the radius is in AU and the period is in earth years).
To learn more about orbital period please visit -
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Answer:
<u> Power = 9.75 ×10^8</u>
Explanation:
- Power is rate of change of energy.
- Here gravitational energy is transferred to kinetic energy of water at a definite rate.
For one second 650m^3 of water flows out down to 150m oh depth.
So, the energy at a height of 150m is transformed to kinetic energy.
for a second,
650m^3 of water flows down ⇒ (1000kg/m^3 × 650m^3) = 6.5×10^5kg of warer flos down.
The total gravitational potential energy stored in water is
= <u>mass of water × height× gravity</u>
= 6.5 ×10^5 × 150 × 10 = 9.75 ×10^8
As it is transformed in a second it is also equal to <u>Power.</u>
Answer:
(a) strikes the plane at the same time as the other body
Explanation:
Two bodies are falling with negligible air resistance, side by side, above a horizontal plane near Earth's surface. If one of the bodies is given an additional horizontal acceleration during its descent, it strikes the plane at the same time as the other body