Answer:
995.12 N/C
Explanation:
R = 9 cm = 0.09 m
σ = 9 nC/m^2 = 9 x 10^-9 C/m^2
r = 9.1 cm = 0.091 m
q = σ x 4π R² = 9 x 10^-9 x 4 x 3.14 x 0.09 x 0.09 = 9.156 x 10^-10 C
E = kq / r^2
E = ( 9 x 10^9 x 9.156 x 10^-10) / (0.091 x 0.091)
E = 995.12 N/C
If there is no friction, the force that moves the box forward horizontally must be matched by the same force.
If there is friction, then the force moving it forward = frictional force + the additional force you need to add.
Answer:

Explanation:
Momentum is the product of mass and velocity.

The mass of the truck is 2,000 kilograms and the velocity is 35 meters per second.

Substitute the values into the formula and multiply.

The truck's momentum is <u>70,000 kilograms meters per second.</u>
Answer:
w = 11.211 KN/m
Explanation:
Given:
diameter, d = 50 mm
F.S = 2
L = 3
Due to symmetry, we have:



To find the maximum intensity, w, let's take the Pcr formula, we have:

Let's take k = 1
Substituting figures, we have:

Solving for w, we have:

w = 11211.14 N/m = 11.211 KN/m
Since Area, A= pi * (0.05)²
. This means it is safe
The maximum intensity w = 11.211KN/m
<h3>
Answer:</h3>
189.07 kPa
<h3>
Explanation:</h3>
Concept tested: Boyle's law
<u>We are given;</u>
- Initial volume of the syringe, V1 is 16 cm³
- Initial pressure of the syringe, P1 is 1.03 atm
- New volume of the syringe, V2 is 8.83 cm³
We are required to calculate the new pressure of the syringe;
- We are going to use the concept on Boyle's law of gases.
- According to the Boyle's law, for a fixed mass of a gas, the pressure is inversely proportional to its volume at constant temperature.
- At varying pressure and volume, k(constant) = PV and P1V1=P2V2
Therefore, to get the new pressure, P2, we rearrange the formula;
P2 = P1V1 ÷ V2
= ( 16 cm³ × 1.03 atm) ÷ 8.83 cm³
= 1.866 atm.
- Thus, the new pressure is 1.866 atm
- But, we need to convert pressure to Kpa
- Conversion factor is 101.325 kPa/atm
Thus;
Pressure = 1.866 atm × 101.325 kPa/atm
= 189.07 kPa
Hence, the new pressure of the air in the syringe is 189.07 kPa