Answer:
The force is 274 N.
Explanation:
In figure 2:
(d) Let the tension in the string is T.
According to the Newton's second law,
Net force = mass x acceleration
Apply for 200N.
![T - 200 sin 35 =\frac{200}{9.8}\times a \\T - 114.7 = 20.4 a..... (1)\\220 - T = \frac{220}{9.8}\times a\\220 - T = 22.45 a..... (2)\\Adding both the equations\\334.7 = 42.85 aa =7.81 m/s^{2}](https://tex.z-dn.net/?f=T%20-%20200%20sin%2035%20%3D%5Cfrac%7B200%7D%7B9.8%7D%5Ctimes%20a%20%5C%5CT%20-%20114.7%20%3D%2020.4%20a.....%20%281%29%5C%5C220%20-%20T%20%3D%20%5Cfrac%7B220%7D%7B9.8%7D%5Ctimes%20a%5C%5C220%20-%20T%20%3D%2022.45%20a.....%20%282%29%5C%5CAdding%20both%20the%20equations%5C%5C334.7%20%3D%2042.85%20aa%20%3D7.81%20m%2Fs%5E%7B2%7D)
Now put in (1)
T - 114.7 = 20.4 x 7.81
T = 274 N
Answer:
23.0 s
Explanation:
Given:
v₀ = 0 m/s
v = 19.8 m/s
a = 4.80 m/s²
Find: Δx and t
v² = v₀² + 2aΔx
(19.8 m/s)² = (0 m/s)² + 2 (4.80 m/s²) Δx
Δx = 40.84 m
v = at + v₀
19.8 m/s = (4.80 m/s²) t + 0 m/s
t = 4.125 s
The elevator takes 40.84 m and 4.125 s to accelerate, and therefore also 40.84 m and 4.125 s to decelerate.
That leaves 291.3 m to travel at top speed. The time it takes is:
291.3 m / (19.8 m/s) = 14.71 s
The total time is 4.125 s + 14.71 s + 4.125 s = 23.0 s.
Answer:
599 meters is the answer rounded to the nearest whole number and 599.489795918 meters is the complete answer
Explanation:
to find gravitational potential energy you multiply mass x acceleration due to gravity (always 9.8 on earth) x hight
since we know the gravitational potential energy and want to find out the hight, we take the gravitational potential energy (470,000) and divide it by the product of acceleration due to gravity x mass (9.8 x 80)
so how high the hiker climbed is equal to 470,000 divided by (9.8 x 80)
hight = 470,000 / (9.8 x 80)
hight = 470,000 / 784
hight = 599.489795918 meters
as for rounding, if the decimal is less than 5 you round "down" and keep the current whole number, if the decimal is 5 or greater you round "up" and add 1 to get your new number
Answer:
Fc = 89.67N
Explanation:
Since the rope is unstretchable, the total length will always be 34m.
From the attached diagram, you can see that we can calculate the new separation distance from the tree and the stucked car H as follows:
L1+L2=34m
Replacing this value in the previous equation:
Solving for H:
![H=\sqrt{52}](https://tex.z-dn.net/?f=H%3D%5Csqrt%7B52%7D)
We can now, calculate the angle between L1 and the 2m segment:
![\alpha = atan(\frac{H/2}{2})=60.98°](https://tex.z-dn.net/?f=%5Calpha%20%3D%20atan%28%5Cfrac%7BH%2F2%7D%7B2%7D%29%3D60.98%C2%B0)
If we make a sum of forces in the midpoint of the rope we get:
where T is the tension on the rope and F is the exerted force of 87N.
Solving for T, we get the tension on the rope which is equal to the force exerted on the car:
![T=Fc=\frac{F}{2*cos(\alpha) } = 89.67N](https://tex.z-dn.net/?f=T%3DFc%3D%5Cfrac%7BF%7D%7B2%2Acos%28%5Calpha%29%20%7D%20%3D%2089.67N)
Answer:
685.6 J
Explanation:
The latent heat of vaporization of ammonia is
L = 1371.2 kJ/kg
mass of ammonia, m = 0.0005 Kg
Heat = mass x latent heat of vaporization
H = 0.0005 x 1371.2
H = 0.686 kJ
H = 685.6 J
Thus, the amount of heat required to vaporize the ammonia is 685.6 J.