Answer:
A. The speed is unchanged.
Explanation:
In the case when the work is to be done on a particle i.e. zero so the change made in KE of the particle would be zero. This represent the work energy theroem. But when the KE remains same or does not change so it should be the same and the particle speed would also the same
Therefore as per the given statement, the first option is correct
And rest of the options are wrong
C) An unbalanced force is acting on the car in the direction east
Answer:
Ceres takes 1,682 Earth days, or 4.6 Earth years, to make one trip around the sun. As Ceres orbits the sun, it completes one rotation every 9 hours, making its day length one of the shortest in the solar system.
Answer:
Explanation:
For third normal mode of vibration
l =
, λ is wavelength , l is length of string .
.4 = ![\frac{3\lambda}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Clambda%7D%7B2%7D)
λ = .267 m
velocity = ![\sqrt{\frac{T}{m} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BT%7D%7Bm%7D%20%7D)
T is tension and m is mass unit length
m = .5 x 10⁻³ / 40 x 10⁻²
= .00125 kg / m
Putting the values
velocity = ![\sqrt{\frac{80}{.00125} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B80%7D%7B.00125%7D%20%7D)
= 253 m /s
frequency
= velocity / λ
= 253 / .267
= 947.5 Hz .
Answer:
α = 13.7 rad / s²
Explanation:
Let's use Newton's second law for rotational motion
∑ τ = I α
we will assume that the counterclockwise turns are positive
F₁ 0 + F₂ R₂ - F₃ R₃ = I α
give us the cylinder moment of inertia
I = ½ M R₂²
α = (F₂ R₂ - F₃ R₃) ![\frac{2}{M R_2^2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7BM%20R_2%5E2%7D)
let's calculate
α = (24 0.22 - 13 0.10)
2/12 0.22²
α = 13.7 rad / s²