Displacement is usually given to you as it is, but you can also get displacement through velocity by Δd= Δv*t, where <span>Δv is the change in velocity and t is the change in time.
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Answer:
The height will be 917431.2 m.
Explanation:
Power of bulb = 75 W
Time kept on 1 hr = 60 x 60 = 3600 sec
Energy of bulb = power x time
E = 75 x 3600 = 270000 J
From conservation of energy, kinetic energy of the bulb is equal to the potential energy of the bulb due to its height of fall.
Potential energy = m x g x h
Where g = acceleration due to gravity 9.81 m/s2
m = mass = 30 g = 0.03 kg
PE = 0.03 x 9.81 x h = 0.2943h
Equating withe the energy of bulb (still obeying energy conservation)
270000 = 0.2943h
h = 270000/0.2943 = 917431.2 m
Answer:
Net torque, 
Explanation:
It is given that,
Initial angular speed of the blade, 
Final angular speed of the blade, 
Time, t = 18 s
Radius of the disk, r = 0.13 m
Mass of the disk, m = 0.4 kg
We need to find the net torque applied to the blade. We know that in rotational mechanics the net torque acting on an object is equal to the product of moment of inertia and the angular acceleration such that,

The moment of inertia of the disk, 



Negative sign shows that the net torque is acting in the opposite direction of its motion. Hence, this is the required solution.
Answer:
a. a = 
b. T = -0.81 N
Explanation:
Given,
- weight of the lighter block =

- weight of the heavier block =

- inclination angle =

- coefficient of kinetic friction between the lighter block and the surface =

- coefficient of kinetic friction between the heavier block and the surface =

- friction force on the lighter block =

- friction force on the heavier block =

Let 'a' be the acceleration of the blocks and 'T' be the tension in the string.
From the f.b.d. of the lighter block,

From the f.b.d. of the heavier block,

From eqn (1) and (2), we get,

![\Rightarrow a\ =\ \dfrac{g(w_1sin\theta\ -\ \mu_1w_1cos\theta\ +\ w_2sin\theta\ +\ \mu_2w_2cos\theta)}{w_1\ +\ w_2}\\\Rightarrow a\ =\ \dfrac{g[sin\theta(w_1\ +\ w_2)\ +\ cos\theta(\mu_2w_2\ -\ \mu_1w_1)]}{w_1\ +\ w_2}\\](https://tex.z-dn.net/?f=%5CRightarrow%20a%5C%20%3D%5C%20%5Cdfrac%7Bg%28w_1sin%5Ctheta%5C%20-%5C%20%5Cmu_1w_1cos%5Ctheta%5C%20%2B%5C%20w_2sin%5Ctheta%5C%20%2B%5C%20%5Cmu_2w_2cos%5Ctheta%29%7D%7Bw_1%5C%20%2B%5C%20w_2%7D%5C%5C%5CRightarrow%20a%5C%20%3D%5C%20%5Cdfrac%7Bg%5Bsin%5Ctheta%28w_1%5C%20%2B%5C%20w_2%29%5C%20%2B%5C%20cos%5Ctheta%28%5Cmu_2w_2%5C%20-%5C%20%5Cmu_1w_1%29%5D%7D%7Bw_1%5C%20%2B%5C%20w_2%7D%5C%5C)
![\Rightarrow a\ =\ \dfrac{9.81\times [sin30^o\times (3.0\ +\ 7.0)\ +\ cos30^o\times (0.31\times 7.0\ -\ 0.13\times 3.0)]}{3.0\ +\ 7.0}\\\Rightarrow a\ =\ 6.4\ m/s.](https://tex.z-dn.net/?f=%5CRightarrow%20a%5C%20%3D%5C%20%5Cdfrac%7B9.81%5Ctimes%20%5Bsin30%5Eo%5Ctimes%20%283.0%5C%20%2B%5C%207.0%29%5C%20%2B%5C%20cos30%5Eo%5Ctimes%20%280.31%5Ctimes%207.0%5C%20-%5C%200.13%5Ctimes%203.0%29%5D%7D%7B3.0%5C%20%2B%5C%207.0%7D%5C%5C%5CRightarrow%20a%5C%20%3D%5C%206.4%5C%20m%2Fs.)
part (b)
From the eqn (2), we get,
Answer:
By elimination I know it's not CGL and I know it's not Charle's Law.
Gay-Lussac's law states the pressure of a a given mass of gas varies directly with the absolute temperature of the gas, when the volume is kept constant. I think it's Gay-Lussac's Law.
Boyle's law states that pressure of a gas tends to increase as the volume of the container decreases which I got from a google search because I didn't know what it was.
CGL is the combined formula of all of these laws by the way
Charle's law is just gas expands when heated.
Gay-Lussac's is the best answer choice in my opinion