Friction is a force that oppose other forces and can slow them down
Refer to the diagram shown below.
Because of symmetry, equal forces, F, exist between the sphere of mass m and each of the other two spheres.
The acceleration of the sphere with mass m will be vertical as shown.
The gravitational constant is G = 6.67408 x 10⁻¹¹ m³/(kg-s²)
Calculate F.
F = [ (6.67408 x 10⁻¹¹ m³/(kg-s²))*(m kg)*(2.8 kg)]/(1.2 m)²
= 1.2977 x 10⁻¹⁰ m N
The resultant force acting on mass m is
2Fcos(30°) = 2*(1.2977 x 10⁻¹⁰m N)*cos(30°) = 2.2477 x 10⁻¹⁰m N
If the initial acceleration of mass m is a m/s², then
(m kg)(a m/s²) = (2.2477 x 10⁻¹⁰m N)
a = 2.2477 x 10⁻¹⁰ m/s²
Answer:
The magnitude of the acceleration on mass m is 2.25 x 10⁻¹⁰ m/s².
The direction of the acceleration is on a line that joins mass m to the midpoint of the line joining the known masses.
Answer:
2.8 MW
Explanation:
There are 7 wind turbines in the wind farm as shown in the diagram. Thus, the energy output by one turbine is 1/7 if the total energy output. So, 19.6/7=2.8MW
Complete Question
A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 499cm3 of air at atmospheric pressure (1.01×105Pa) and a temperature of 27.0∘C. At the end of the stroke, the air has been compressed to a volume of 46.2cm3 and the gauge pressure has increased to 2.72×106Pa. Compute the final temperature.
Answer:
The final temperature is
Explanation:
From the question we are given
The volume of one of the cylinders is
The atmospheric pressure is
The temperature is
Volume at the end of the stroke is
The increased pressure is
Now to obtain the temperature we are going to apply the ideal gas equation to this question and this is mathematically given as
Where P is the pressure , V sis the volume T is the temperature
While is the rate constant and n is the number of mole which is constant in this question hence
=>
Making the subject of the formula we have
Therefore
Answer:
Explanation:
Let the initial speed be u . final speed = 0
v² = u² - 2gh
v is final speed , u is initial speed , h is height .
0 = u² - 2g x 134
u² = 2 x 9.8 x 134
u = 51.25 m /s .