Q: In the pulley system shown (see $$image_7$$), what mass $$m_1$$ will make the system balance if $$m_2 is $$hanging and the incline is frictionless?

$$m_1$$ = $$m_2$$ \sin \theta$$

Q: A firework of mass $$12\,\text{kg}$$ explodes into three pieces of $$4.0\,\text{kg}$$ each as shown (see $$image_13). If$$ $$v_1 = 100$$\,\text{m/s}$$ and $$\$$theta_1$$ = \$$theta_3 = 30$$^\circ$$, what is the speed v_2$ of the middle piece?

$$v_2 = 100$$\,\text{m/s} \times \sqrt{3}$$

Question 1

Refer to the position vs. time graph for trains A and B (see $$image_1). At $$what time are the trains moving at the same speed?

Accepted Answer

When the slopes (derivatives) of their position-time curves are equal

Question 2

Given the vectors shown (see $$image_2$$), what is the resultant vector $$\vec{A} - \vec{B} + \vec{C}$$?

Accepted Answer

A vector pointing diagonally down and to the left

Question 3

Which of the following force diagrams (see $$image_3) $$correctly represents a car driving at constant velocity?

Accepted Answer

The diagram with two equal and opposite horizontal arrows

Question 4

In the pulley system shown (see $$image_4$$), if blocks A and B are at rest, what is the tension in the cable?

Accepted Answer

$$T = m_B g$$

Question 5

In the pulley system shown (see $$image_5$$), if block B is lowering at constant speed, what is the coefficient of kinetic friction on the table?

Accepted Answer

$$\mu_k = \frac{m_B g}{m_A g}$$

Question 6

In the pulley system shown (see $$image_6$$), if block B is lowering with acceleration $$a$$, what is the tension in the cable?

Accepted Answer

$$T = m_B (g - a)$$

Question 7

In the pulley system shown (see $$image_7$$), what mass $$m_1$$ will make the system balance if $$m_2 is $$hanging and the incline is frictionless?

Accepted Answer

$$m_1$$ = $$m_2$$ \sin 	heta$$

Question 8

A force $$\vec{F} = 10\,	ext{N}\,\hat{i} + 10\,	ext{N}\,\hat{j} is $$applied over a displacement $$\Delta \vec{r} = 10\,	ext{m}\,\hat{i} + 0\,	ext{m}\,\hat{j}. $$What is the work done by the force?

Accepted Answer

$$100\,	ext{J}$$

Question 9

Refer to the spring system (see $$image_15). $$Which spring has the largest spring constant?

Accepted Answer

Spring C

Question 10

In the two-block system shown (see $$image_8$$), if the blocks are moving at constant velocity and the coefficient of kinetic friction is $$\mu_k$$, what is the tension $$T_2$$?

Accepted Answer

$$T_2$$ = \mu_k ($$m_1$$ + $$m_2) g$

Question 11

In the two-block system shown (see $$image_9$$), if the blocks are moving with constant acceleration $$a$$, what is the tension $$T_1$$?

Accepted Answer

$$T_1$$ = ($$m_1$$ + $$m_2)a$

Question 12

A block is lifted using the pulley system shown (see $$image_10). $$What is the minimum force required to lift the block of mass $$m$$?

Accepted Answer

$$F = \frac{mg}{2}$$

Question 13

A firework of mass $$12\,	ext{kg}$$ explodes into three pieces of $$4.0\,	ext{kg}$$ each as shown (see $$image_13). If$$ $$v_1 = 100$$\,	ext{m/s}$$ and $$\$$theta_1$$ = \$$theta_3 = 30$$^\circ$$, what is the speed v_2$ of the middle piece?

Accepted Answer

$$v_2 = 100$$\,	ext{m/s} 	imes \sqrt{3}$$

Question 14

In the table of force and displacement directions (see $$image_14$$), in which row is the work done zero?

Accepted Answer

Row B

Question 15

Refer to the pucks being pushed by equal forces (see $$image_15). $$Which puck has more kinetic energy after being pushed the same distance?

Accepted Answer

Both have the same kinetic energy

Question 16

Refer to the force diagram on the door (see $$image_16). $$What is the net torque on the door if $$F_1$$ and $$F_2$$ are equal and applied at equal distances from the hinge?

Accepted Answer

Zero

Question 17

In the hydraulic lift system (see $$image_17$$), if $$m_1 = 50$$\,	ext{kg}$$, d_1$ = 1.0\,	ext{m}$$, and $$d_2 = 3.0$$\,	ext{m}$$, what is m_2$?

Accepted Answer

$$m_2 = 450$$\,	ext{kg}$$

Physics 195 Final Exam Practice – Step-by-Step Guidance with Relevant Diagrams

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