The acceleration of gravity (on Earth) is 9.8 m/s² downward.
This means that every falling object gains 9.8 m/s more downward speed
every second that it falls.
In 5 seconds of falling, it gains (5 x 9.8 m/s) = 49 m/s of downward speed.
If it was already descending at 2.0 m/s at the beginning of the 5 sec,
then at the end of the 5 sec it would be descending at
(2 m/s + 49 m/s) = 51 m/s .
Answer and Explanation:
NOTE: Magnetism means the magnetic property of a material that causes it to create a magnetic field, hence getting it attracted to a magnet.
EXPERIMENTAL PROCEDURE
1. Use a tape to attach a permanent magnet to the end of a ruler so that the magnet is facing away from the ruler. Don't cover the magnetic surface with the tape. ( Leave the magnet in its decorative casing.)
2. Place your metal objects in a row, and make predictions of which one of them will be attracted to the magnet and which will not.
3. Hold the magnet over each metals, and record which metals are attracted to the magnet. Go back over the
objects that were not affected by the magnet at least one more time to be sure you didn't miss any.
In this experiment, the independent variable is the magnetism of the magnet used. This is the independent variable because it remained unchanged and unaffected by the metals' magnetic properties all through the experiment.
While the dependent variable is the magnetism of the metals used. This is so because the magnetism of these metals varied and also because it is what is been measured in the experiment. Some were attracted to the magnet from very close range while others were attracted even at some centimeters away from the magnet which indicates that those metals have strong metallic properties.
The potential energy of the object is going to be gravitational: PE=mgh. Assuming we're talking about the gravitational potential energy relative to the bottom of the cliff, the object's height is 30 m. g is 9.8 m/s^2. We don't know its mass. You could technically use the equation F=mg to find the mass, where F=40 and g=9.8, but that's unnecessary. You can just substitute F into PE=mgh to get PE=Fh. Substitute the given values to get PE=40*30=120 J.
Answer:
The angular speed of the sphere at the bottom of the hill is 31.39 rad/s.
Explanation:
It is given that,
Weight of the sphere, W = 240 N
Radius of the sphere, r = 0.2 m
Angle with the horizontal, 
We need to find the angular speed of the sphere at the bottom of the hill if it starts from rest.
As per the law of conservation of energy, the total energy at the top is equal to the energy at the bottom.
Gravitational energy = translational energy + rotational energy
So,
I is the moment of inertia of the sphere, 
Also, 
h is the height of the ramp, 
On solving the above equation we get :
So, the angular speed of the sphere at the bottom of the hill is 31.39 rad/s. Hence, this is the required solution.
