#Physics freefall problems Patch
#Physics freefall problems code
#Physics freefall problems free

The term d θ/d t is usually called the angular velocity, which is the rate of change of the angle θ. Now, evaluate the second derivative at θ = 0. Therefore, θ can be differentiated with respect to time. In both of the above equations the chain rule of Calculus is used and by assumption θ is a function of time. The second derivative of x with respect to time t is:ĭ 2x/dt 2 = - Rcosθ(d θ/d t) 2− Rsinθ(d 2 θ/d t 2) The first derivative of x with respect to time t is: Thus, when θ = 0, the second derivative of x with respect to time must be the centripetal acceleration. Without loss of generality, we only need to look at the equation for the x-position, since we know that centripetal acceleration points towards the center of the circle. The scientific name for this phenomenon is Archimedes Principle. As a result, the object cannot remain completely submerged and it floats. This is because the weight of the liquid displaced by the object is greater than the weight of the object (since the liquid is denser). If an object were completely immersed in a liquid denser than it, the resulting buoyant force would exceed the weight of the object. If there was no air resistance, a feather would fall at the same speed as an apple. The force of gravity is F = mg, where m is the mass of the object and g is the acceleration due to gravity.Įquating, we have mg = ma. If we look at Newton's second law, F = ma. If an object is heavier the force of gravity is greater, but since it has greater mass the acceleration is the same, so it moves at the same speed (if we neglect air resistance). See solution Solutions For High School Physics Questions Solution For Problem # 1 Why is it desirable to keep the wheels rolling on the ice without locking up?

#Physics freefall problems Patch

When a moving car encounters a patch of ice the brakes are applied. What is the velocity of the arrow immediately after release? Why is it possible to drive a nail into a piece of wood with a hammer, but it is not possible to push a nail in by hand?Īn archer pulls back 0.75 m on a bow which has a stiffness of 200 N/m. The impact force on each car is the same as hitting a solid wall at: What is the difference between energy and power? What is the difference between centripetal acceleration and centrifugal force?

#Physics freefall problems free

How come in free fall you feel weightless even though gravity is pulling down on you? (ignore air resistance when answering this question). From these equations derive the equation for centripetal acceleration. Why do objects float in liquids denser than themselves?Ī particle is moving around in a circle and its position is given in polar coordinates as x = Rcosθ, and y = Rsinθ, where R is the radius of the circle, and θ is in radians. High School Physics Questions College and University Physics Questions Extra Challenging Physics Questions High School Physics Questions Problem # 1ĭo heavier objects fall more slowly than lighter objects?

To see the questions click on the category you are interested in: This page is a good resource for students who want good quality problems to practice with when studying for tests and exams. In addition to being challenging, these questions are fun and interesting. These questions are designed to challenge and inspire you to think about physics at a deeper level. All quantities are in SI units.On this page I put together a collection of physics questions to help you understand physics better. At the moment, the plot shows a terminal velocity of around 50 m/s. The function k above is the drag force constant as a function of height (so not a constant as he fell from a height where air density was much lower). I'm meant to plot graphs of vertical height, and vertical velocity against time. Tf = int(input('How long would you like to fall for (in seconds)?')) Y_c_input = input('Choose a jump height in metres: ')

#Physics freefall problems code

My python code is below, and I'm almost certain my problem is in assigning the k values, the drag force constant. Baumgartner reached a terminal velocity of 373 m/s, and I do get this result with the analytical solutions, but not by use of the Leapfrog method.

As part of this project, I'm supposed to demonstrate the use of the Leapfrog method to solve the differential equations involved and compare this with analytical solutions. So this is the situation: I'm doing a coding project which will model Felix Baumgartner's free fall from a height of around 40 km.