Two forces, given by F1 = (-6.00i - 4.00j) N and F2 = (-3.00i + 7.00j) N, act on a particle of mass 2.00 kg that is initially at rest at coordinates (-2.00 m, 4.00 m). (a) What are the components of the particle’s velocity at t = 10.0 s? (b) In what direction is the particle moving at t = 10.0 s? (c) What displacement does the particle undergo during the first 10.0 s? (d) What are the coordinates of the particle at t = 10.0 s? In[2104]:= eqs = 8 SumFx F1x + F2x, SumFx m * ax, SumFy F1y + F2y, SumFy m * ay, vxf vxi + ax * t, vyf vyi + ay * t, xf xi + vxi * t + 1 2 * ax * t^2, yf yi + vyi * t + 1 2 * ay * t^2, m „ 0, vxi 0, vyi 0, t „ 0, SumFy „ 0, SumFx „ 0 <; vals = 8xi fi- 2, yi fi 4, F1x fi- 6, F2x fi- 3, F1y fi- 4, F2y fi 7, t fi 10, m fi 2<; What are the components of the particle’s velocity at t = 10.0 s? In[2106]:= Reduce@eqs, 8vxf, ax, SumFx<D; Cases@%, Hvxf _LD % . vals Out[2107]= :vxf HF1x + F2xL t m > Out[2108]= 8vxf - 45< In[2109]:= Reduce@eqs, 8vyf, ay, SumFy<D; Cases@%, vyf _D % . vals Out[2110]= :vyf HF1y + F2yL t m > Out[2111]= 8vyf 15<
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Two forces, given by F1 = (-6.00i - 4.00j) N and F2 = (-3.00i + 7.00j) N, act on a particle of mass 2.00
kg that is initially at rest at coordinates (-2.00 m, 4.00 m). (a) What are the components of the particle’s
velocity at t = 10.0 s? (b) In what direction is the particle moving at t = 10.0 s? (c) What displacement
does the particle undergo during the first 10.0 s? (d) What are the coordinates of the particle at t = 10.0
s?
In[2104]:= eqs = 8SumFx � F1x + F2x,
SumFx � m * ax,
SumFy � F1y + F2y,
SumFy � m * ay,
vxf � vxi + ax * t,
vyf � vyi + ay * t,
xf � xi + vxi * t + 1 � 2 * ax * t^2,
yf � yi + vyi * t + 1 � 2 * ay * t^2,
m ¹ 0,
vxi � 0,
vyi � 0,
t ¹ 0, SumFy ¹ 0, SumFx ¹ 0
<;
vals = 8xi ® -2, yi ® 4, F1x ® -6, F2x ® -3, F1y ® -4, F2y ® 7, t ® 10, m ® 2<;
What are the components of the particle’s velocity at t