Answer:
benzene
Explanation:
the more mass the denser the fluid,or object
Answer:
Explanation:
The sum of kinetic and potential energy is the mechanical energy of the system. Assuming the energy of the system is conserved, which it is in your case, then the initial mechanical energy will equal the final mechanical energy. This relationship is very useful in mechanics.
Answer:
T = 243.80 N
Explanation:
In order to calculate the tension T in each of the cables, you take into account the Newton second law for the vertical component of the forces involved.
(1)
where you have used the fact that both cables have the same tension T, and they make the same angle with the horizontal.
W is the weigh of the loudspeaker and has the folowing values:
![W=Mg=(23.0kg)(9.8m/s^2)=225.4N](https://tex.z-dn.net/?f=W%3DMg%3D%2823.0kg%29%289.8m%2Fs%5E2%29%3D225.4N)
Next, you can calculate the angle θ by using the information about the length of the cables and the distance from the ceiling to the loudspeaker:
![sin\theta=\frac{1.80m}{3.90m}=0.461\\\\\theta=sin^{-1}(0.461)=27.48\°](https://tex.z-dn.net/?f=sin%5Ctheta%3D%5Cfrac%7B1.80m%7D%7B3.90m%7D%3D0.461%5C%5C%5C%5C%5Ctheta%3Dsin%5E%7B-1%7D%280.461%29%3D27.48%5C%C2%B0)
Finally, you solve the equation (1) for T, and then you replace the values of the other parameters:
![2Tsin\theta-W=0\\\\T=\frac{W}{2sin\theta}=\frac{225.4N}{2sin(27.48\°)}=243.80N](https://tex.z-dn.net/?f=2Tsin%5Ctheta-W%3D0%5C%5C%5C%5CT%3D%5Cfrac%7BW%7D%7B2sin%5Ctheta%7D%3D%5Cfrac%7B225.4N%7D%7B2sin%2827.48%5C%C2%B0%29%7D%3D243.80N)
The tension in each cable is 243.80N
Answer:
F = 30 N Directed up
Explanation:
We can solve this problem using the momentum and momentum relationship.
I = ΔP
I = ∫ F dt
As we are asked for the average force, that leaves the integral, giving
I = F t
F t = m
- m v₀
F = m (
-v₀) / t
Note that, if you define the upward positive direction, the initial velocity is negative
Let's calculate
F = 0.15 (3.5 - (-6.5)) / 0.050
F = 30 N
Directed up