Answer:
Explanation:
The period of a simple pendulum is given by the equation
where
L is the lenght of the pendulum
g is the acceleration due to gravity at the location of the pendulum
We notice from the formula that the period of a pendulum does not depend on the mass of the system
In this problem:
-The pendulum comes back to the point of release exactly 2.4 seconds after the release. --> this means that the period of the pendulum is
T = 2.4 s
- The length of the pendulum is
L = 1.3 m
Re-arranging the equation for g, we can find the acceleration due to gravity on the planet:
Answer:
The number of minutes in an hour - constant
Systolic blood pressure - variable
Freezing temperature of water in degrees Kelvin - constant
Ratings of daily anxiety - variable
Explanation:
A variable speaks of something that change while a constant is something that doesn't change.
The number of minutes in an hour is always constant which is 60.
Systolic blood pressure refers to the amount of pressure in your arteries during the contraction of your heart muscle and this changes base on the work done by the heart thus will be a variable.
Freezing temperature of water in degrees kelvin is always constant and it is 273.2 K.
Ratings of daily anxiety will be a variable because daily anxiety differs for different challenges of life.
Answer:
Explanation:
Potential energy on the surface of the earth
= - GMm/ R
Potential at height h
= - GMm/ (R+h)
Potential difference
= GMm/ R - GMm/ (R+h)
= GMm ( 1/R - 1/ R+h )
= GMmh / R (R +h)
This will be the energy needed to launch an object from the surface of Earth to a height h above the surface.
Extra energy is needed to get the same object into orbit at height h
= Kinetic energy of the orbiting object at height h
= 1/2 x potential energy at height h
= 1/2 x GMm / ( R + h)
ANSWER
EXPLANATION
To find the velocity of the bowling ball, we apply the law of conservation of momentum, which states that<em> the total momentum in a system is constant</em>.
Mathematically, it is written as:
where m = mass of bowling ball = 10.8 kg
M = mass of basketball = 0.58 kg
u = initial velocity of bowling ball = 12 m/s
U = initial velocity of basketball = -4 m/s
v = final velocity of bowling ball
V = final velocity of basketball = 9 m/s
Note: the initial velocity of the basketball is negative since it is moving in a different direction from the bowling ball.
We have to solve for final velocity, v.
Therefore, we have:
That is the final velocity of the bowling ball.
The number of protons in the nucleus of an atom determines an element's atomic number.