Chapter 9, (GL) Projectile Motion: The Ballistic Pendulum Video Solutions, Physics Laboratory Experiments

Problem 1

Is the collision between the ball and the pendulum elastic or inelastic? Justify your answer by calculating the kinetic energy of the system before collision using the value of $v_{x_{y}}$ in the experiment and the kinetic energy just after collision using the experimental value of $h$ in Eq. $9.2 .$

Keshav Singh

Numerade Educator

03:36

Problem 2

Using the results of Question 1 that would apply if the collision were inelastic, find the fractional kinetic energy loss during the collision. Express the "loss" as a percent. What became of the "lost energy"?

Farhanul Hasan

Numerade Educator

01:12

Problem 3

Expressing the kinetic energy in terms of momentum ( $K=\frac{1}{2} m v^{2}=p^{2} / 2 m$ ), prove using symbols, not numbers, that the fractional loss during the collision is equal to $M /(m+M)$.

Naman Kumar

Numerade Educator

03:25

Problem 4

Compute the fractional energy loss from the experimental mass values using the equation developed in Question 3 , and compare this to the result in Question 2. Explain the difference, if any.

Khoobchandra Agrawal

Numerade Educator

01:05

Problem 5

Is the friction of the pendulum (catch mechanism, support axis, etc.) a random or systematic error? Will this source of error cause your calculated velocity to be less than or greater than the actual velocity? (See Experiment 2 on errors.) What effect does the force of gravity have on the horizontal velocity of the projectile? Explain.

Ajay Singhal

Numerade Educator

02:58

Problem 6

What effect does the force of gravity have on the horizontal velocity of the projectile? Explain.

Vishal Gupta

Numerade Educator

02:58

Problem 7

What effect would air resistance have on the range of the projectile?

Vishal Gupta

Numerade Educator

02:23

Problem 8

Using experimental data, compute the magnitude of the initial velocity $v_{\mathrm{o}}$ of the projectile from Eq. (9.12), and compare this to the results of Parts $\mathrm{A}$ and $\mathrm{B}$ of the procedure.

Satpal Satpal

Numerade Educator

05:25

Problem 9

If, for a given initial velocity, the maximum range is at a projection angle of $45^{\circ}$, then there must be equal ranges for angles above and below this. Show this explicitly.

Guilherme Barros

Numerade Educator