Learning Goal To understand how the trajectory of an object depends on its initial velocity, and...
Learning Goal: To be able to calculate the velocity and the angle of trajectory of an object undergoing projectile motion. (Figure 1)A batter hits a softball over a third baseman's head with speed Vy and at an angle from the horizontal. Immediately after the ball is hit, the third baseman tums and runs at a constant velocity v = 7.000 m/s, for a time t=2.000 s. He then catches the ball at the same height at which it left the...
Create a program that plots the trajectory, from the initial height to the ground, of a projectile accelerating both in the horizontal and vertical directions. -Matlab Code PROBLEM 4: In your physics class, projectile motion has two components: constant-velocity motion in the horizontal direction and free-fall motion in the vertical direction. However, in reality, the horizontal motion has acceleration due to air resistance, wind, and other factors. The goal of this problem is to visualize the trajectory of a projectile...
Learning Goal: To understand how to apply the equations for one-dimensional motion to the x and y directions separately in order to derive standard formulas for the range and height of a projectile. (Figure 1) A projectile is fired from ground level at time t=0, at an angle ? with respect to the horizontal. It has an initial speed v0. In this problem we are assuming that the ground is level. a)Find the time tH it takes the projectile to...
Height 1. Start the PhET software. Feel free to "play" with the software and its various functions, Range but we will use the Lab section displayed on the opening page. Click into the Lab section. On the right hand side, make sure to deselect Air Resistance. Air resistance will remain off for this experiment. Mass and diameter of the cannonball will also remain fixed. Their value will not affect the outcomes we are studying. Set gravity to 9.81 m/s?. Set...
Please help with Q1 a)b)c). Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics equations including air resistance may be written V and ^- where m is the mass of the object, g is the acceleration due to gravity, y is the vertical direction, C is a dimensionless drag coefficient, A is the cross-sectional area of the object, pa 1.2kg/m3 is the density...
ng 20uu n object of mass 8 kg is given an initial downward velocity of 30 m/sec and then allowed to fall under the y. Assume the force in newtons due to air resistance is -8e, where v is the velocity of the o object in m/sec. Assume the obj ect is initially 800m above the ground. JAssume the gravitational force constant, with g-9.8m/sec?, sign of g depends on your setting] (a) Write a DE describing the motion.[Hint: See pages...
A small, spring-loaded cannon launches a golf ball from level ground with an initial speed vi at an angle θi with the horizontal. The golf ball lands a horizontal distance R from its launch point. The highest point the golf ball reaches during its flight is a distance R/12 above the ground. In terms of R and g, find the following. (You may ignore air resistance.) (a) the time interval during which the golf ball is in motion t =...
An object with cross section A is shot horizontally across frictionless ice. Its initial velocity is v0x at t0=0s. Air resistance is not negligible. A 1.8 m wide, 1.5 m high, 1700 kg car with a drag coefficient of 0.35 hits a very slick patch of ice while going 24 m/s . Air resistance is not negligible. If friction is neglected, how long will it take until the car's speed drops to 11 m/s ? To 5.0 m/s ?
The cannon on a battleship can fire a shell a maximum distance of 38.0 km. (a) Calculate the initial velocity of the shell. ? m/s (b) What maximum height does it reach? (At its highest, the shell is above a substantial part of the atmosphere--but air resistance is not really negligible as assumed to make this problem easier.) ? m (c) The ocean is not flat, since the earth is curved. How many meters lower will its surface be 38.0...
Learning Goal: To understand the relationship between force, impulse, and momentum. The effect of a net force ΣF⃗ acting on an object is related both to the force and to the total time the force acts on the object. The physical quantity impulse J⃗ is a measure of both these effects. For a constant net force, the impulse is given by J⃗ =F⃗ Δt. The impulse is a vector pointing in the same direction as the force vector. The units...