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Practice Question 2-Please help with question B Magnitude p of Momentum for Dart-block System Total Mechanical Energy E for Dart-block-Earth System 9 Po 0 tf t (a) The dart collides with the block at time $t_c$, and the center of mass of the dart- block system reaches its maximum height at time $t_r$. (i) Consider the dart-block-Earth system. E is the total mechanical energy of the dart-block-Earth system, and immediately before time $t_c$ it is equal to $E_0$. On the axes below, sketch E as a function of time for $t=t_c$ to $t=t_E$. (ii) Now consider the system containing just the block and the dart. The magnitude of the momentum of the dart-block system is p and immediately before time $t_c$ it is equal to $p_0$. On the axes below, sketch p as a function of time for $t=t_c$ to $t=t_E$. (b) The block is replaced with a different block of mass M2, where M2 is greater than M1. The experiment is repeated with the same dart moving horizontally at the same speed $v_0$, and the center of mass of this dart-block system reaches a maximum height $h_2$ above its initial position. How does $h_2$ compare to $h_1$? $h_2$<$h_1$ $h_2$=$h_1$ $h_2$>$h_1$ Without including equations in your response, explain your reasoning.

          Practice Question 2-Please help with question B
Magnitude p of Momentum
for Dart-block System
Total Mechanical Energy E
for Dart-block-Earth System
9
Po
0
tf
t
(a)
The dart collides with the block at time $t_c$, and the center of mass of the dart-
block system reaches its maximum height at time $t_r$.
(i)
Consider the dart-block-Earth system. E is the total mechanical energy of the
dart-block-Earth system, and immediately before time $t_c$ it is equal to $E_0$. On
the axes below, sketch E as a function of time for $t=t_c$ to $t=t_E$.
(ii)
Now consider the system containing just the block and the dart. The
magnitude of the momentum of the dart-block system is p and immediately
before time $t_c$ it is equal to $p_0$. On the axes below, sketch p as a function of
time for $t=t_c$ to $t=t_E$.
(b)
The block is replaced with a different block of mass M2, where M2 is greater than
M1. The experiment is repeated with the same dart moving horizontally at the
same speed $v_0$, and the center of mass of this dart-block system reaches a
maximum height $h_2$ above its initial position. How does $h_2$ compare to $h_1$?
$h_2$<$h_1$
$h_2$=$h_1$
$h_2$>$h_1$
Without including equations in your response, explain your reasoning.

Practice Question 2-Please help with question B
Magnitude p of Momentum
for Dart-block System
Total Mechanical Energy E
for Dart-block-Earth System
9
Po
0
tf
t
(a)
The dart collides with the block at time tc, and the center of mass of the dart-
block system reaches its maximum height at time tr.
(i)
Consider the dart-block-Earth system. E is the total mechanical energy of the
dart-block-Earth system, and immediately before time tc it is equal to E0. On
the axes below, sketch E as a function of time for t=tc to t=tE.
(ii)
Now consider the system containing just the block and the dart. The
magnitude of the momentum of the dart-block system is p and immediately
before time tc it is equal to p0. On the axes below, sketch p as a function of
time for t=tc to t=tE.
(b)
The block is replaced with a different block of mass M2, where M2 is greater than
M1. The experiment is repeated with the same dart moving horizontally at the
same speed v0, and the center of mass of this dart-block system reaches a
maximum height h2 above its initial position. How does h2 compare to h1?
h2<h1
h2=h1
h2>h1
Without including equations in your response, explain your reasoning.

Added by Andr-S A.

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