Answer:
T =176 N
Explanation:
from diagram
F -(m_1+m_2_g) = (m_1+m_2_g)a
440 - (6+4)g = (6+4)a
a =\frac{440-10*9.8}{10}
a =34.2 m/s^2
frrom free body diagram of mass m2 = 4kg
T -m_2g =m_2a
T = m_2(g +a)
T = 4(9.81+34.2)
T =176 N
Answer:
Average
= 11.25 cm
standard deviation = 0.129 cm
Explanation:
The data provided in the question is:
x₁ = 11.4 cm
x₂ = 11.3 cm
x₃ = 11.2 cm
x₄ = 11.1 cm
total number of data points, N = 4
Now, the average is calculated as:
Average
= 
substituting the values in the above formula we get,
Average
= 
Average
= 11.25 cm
Now the standard deviation is calculated as:
standard deviation = 
substituting the values in the above equation we get,
standard deviation = 
or
standard deviation = 0.129 cm
#16
If we put a resistor in circuit it will slow the speed of current
Let's check ohms law

- So if resistance is more current is less
#17
Again use ohms law


- Voltage must be increased
Step 1: Find the upward acceleration.
d = 107 m
a = ???
vi = 0
t = 14.4 sec
d = vi * t + 1/2 at^2
107 = 1/2 a * 14.4^2
a = 214 / (14.4)^2
a = 1.03 m/s^2
Step 2: Find the Volume of the balloon and from that the mass.
V = 4/3 * pi * r^3
r = 6.52 m
V = 4/3 x pi x 6.52^3
V= 1,161 m^3.
Density of air = m/V 1.29 = m/ 1161
M = 1.29 x 1161
m = 1498 kg
Step 3: The force keeping this in equilibrium = F = m* g
F = 1498 * 9.81 = 14692 N
Step 4: Find the mass needed to cause the upward acceleration.
14692 = (1498 - x) * (9.81 + 1.03)
14692 = (1498 - x) * 10.84 Divide both sides by 10.84
1355.35 = 1022 - x
1355.35 - 1022
x = 333.35 kg