Answer:
a = 25 cm/s²
Explanation:
Given,
The mass of the cart, m = 1 Kg
The acceleration of the cart, a = 50 cm/s²
The string with clay hanging off the ramp exerts a force, F on the cart (neglecting the tension in the string)
F = m x a
= 1 Kg X 50 cm/s²
= 50 Kg cm/s²
Hence the force exerted by the clay hanging off the ramp on the cart, F = 50 Kg cm/s²
If the mass of the cart is doubled '2 Kg', the same magnitude of the force acts on the cart.
Therefore, from the equation,
F = m x a
50 Kg cm/s² = 2 Kg x a
a = 50 Kg cm/s² / 2 Kg
= 25 cm/s²
Hence, the acceleration of the cart is, a = 25 cm/s²
Answer:
<em>The non resonance frequency of the generator is = 1201.79 Hz</em>
Explanation:
At resonance,
f₀ = 1/2π√LC..................... Equation 1
Where f₀ = resonance frequency, L = inductance, C = capacitance
making LC the subject of the equation
LC = 1/4πf₀²..................... Equation 2
<em>Given: </em>f₀ = 225 Hz, and π = 3.143
<em>Substituting these values into equation 2,</em>
LC = 1/(4×3.143²×225²)
LC = 1/2000385.9
LC = 5×10⁻⁷
If the ratio of capacitive reactance to inductive reactance = 5.36
1/2πfC/2πfL = 5.36
1/4π²f²LC = 5.36
Where f = frequency of the non resonant
making f the subject of the equation
f = 5.36/2π√LC ............. Equation 3
Substituting the value of LC = 5×10⁻⁷ into equation 3
f = 5.36/2×3.143√(5×10⁻⁷)
f = 5.36/(6.286×0.00071)
f = 5.36/0.00446
<em>f = 1201.79 Hz</em>
<em>Thus the non resonant frequency of the generator is = 1201.79 Hz</em>
Refer to the diagram shown below.
At A, the boy begins walking up the stairs.
At B, the boy is at the top of the slide. He has acquired PE (potential energy).
The value of the PE is
(50 kg)*(9.8 m/s²)*(11.5 m) = 5635 J
At C, the boy has KE (kinetic energy).
The value of the KE is
(1/2)*(50 kg)*(12 m/s)² = 3600 J
Energy is lost between B and C due to friction.
The lost energy is
5635 - 3600 = 2035 J
The distance traveled along the slide is 108 m.
If F = the average frictional force, then
(F N)*(108 m) = 2035 J
F = 18.84 N
Answers:
(a) The mechanical energy lost by sliding is 2035 J.
(b) The average frictional force is 18.84 N
<h3>
Answer:</h3>
375 N
<h3>
Explanation:</h3>
Topic tested: Newton's Law of motion
The question is testing on the application of Newton's second Law of motion.
We are given;
- Mass of the football = 5 Kg
- Initial velocity of the football, Vf = 15 m/s
- Time taken to bring the ball to rest = 0.2 s
- Final velocity, Vo = 0 m/s ( since the ball went to rest)
We are required to determine the force exerted to bring it to rest.
- According to the Newton's second law of motion the resultant force and rate of change in momentum are directly proportion.

Thus;


Force = 375 N
Hence, the force exerted on the ball by the receiver was 375 N
Answer:
pressure is a horrible thing to go through, it can lead to many bad side effects, like burn out and it can also lead to high blood pressure, head aches, heart problems, depression, anxiety, and many more damaging effects. Pressure can destroy someones mental health if not dealed worth properly
I hope this is okay! I'm not sure what pressure you meant