The average speed of a nitrogen molecule in air is about 6.70 x 102 m/s, and its mass is 4.68 3 10-26 kg. (a) If it takes 3.00 x 10-13 s for a nitrogen molecule to hit a wall and rebound with the same speed but moving in the oppositedirection, what is the average acceleration of the molecule during this time interval? (b) What average force does the molecule exert on the wall?

Let's say an astronaut is walking on the moon and wants to test out some basic kinematics. Because there's no atmosphere, there's no air resistance, so the only thing that can cause an object to move faster on the moon is the moon's gravity. Let's say you have a hammer and a feather, each weighing 10.0 kg and 1.00 kg respectively. When you drop them from a height of 1.65 meters, they should both hit the ground at the same time. The gravity on the moon is around 1/6 of what it is on Earth, so you need to figure out how long it'll take for the hammer to reach the ground.

Two blocks, with masses m1 4.6 kg and m₂ 3.8 kg, are connected by a light spring on a horizontal frictionless table. At a certain instant, when m₂ has an acceleration a2 2.6 m/s², (a) what is the force on m₂ and (b) what is the accel- eration of mi ? = = =

A car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…

Two objects are connected by a massless cable passing over a frictionless pulley. Object A is positioned on a table, while object B hangs freely. The coefficient of kinetic friction between object A and the table is 0.09950. If the mass of object A is 150 kg, and the mass of object B is 238 kg, what is the acceleration of the objects?

Two teams of nine members each engage in a tug of war. Each of the first team's members has an average mass of 72 kg and exerts an average force of 1350 N horizontally. Each of the second team's members has an average mass of 77 kg and exerts an average force of 1373 N horizontally.   (a) What is the acceleration (in m/s2 in the direction the heavy team is pulling) of the two teams?

The launch thrust of the Space Shuttle’s rocket engines is approximately 3.47×107 N. If the Shuttle’s launch mass is about 2.00×106 kg, what is the acceleration at liftoff? I know that F net =F thrust, so the opposing but equal force is - mg F net = F thrust - mg m = 2.00 x 10^6 kg F net = N = 2.00 x 10^6 (9.8) =mg, expressed as N is 1.96x107 N =  3.47×107 N (up) - 1.96x107 N (down) then...