Question 1

A block of mass $$m = 0.40\ \mathrm{kg}$$ moving at $$0.20\ \mathrm{m/s}$$ collides elastically with a stationary block of mass $$M = 0.80\ \mathrm{kg} on a $$frictionless surface. After the collision, the blocks are connected for $$0.20\ \mathrm{s}$$, and the magnitude of the average force on $$m is $$measured. What is the value of this average force?

Accepted Answer

$$0.13\ \mathrm{N}$$

Question 2

In a one-dimensional elastic collision, a block of mass $$m$$ moving at velocity $$v$$ collides with a stationary block of mass $$M. $$What is the velocity of $$M$$ after the collision?

Accepted Answer

$$v_{M,\mathrm{after}} = \dfrac{2m}{m+M}v$$

Question 3

Two ice skaters, each of mass $$45\ \mathrm{kg}$$, push off against one another starting from rest. After the push, one skater moves at $$+3.0\ \mathrm{m/s}$$ and the other at $$-3.0\ \mathrm{m/s}. $$What is the total momentum of the system after the push?

Accepted Answer

$$0\ \mathrm{kg\cdot m/s}$$

Question 4

Two cars, each of mass $$1.0\ \mathrm{kg}$$, travel at $$4.0\ \mathrm{m/s}$$ and $$3.0\ \mathrm{m/s}$$, respectively, at right angles to each other and collide inelastically. What is the magnitude of their combined velocity immediately after the collision?

Accepted Answer

$$4.2\ \mathrm{m/s}$$

Question 5

A $$2.00\ \mathrm{m}$$ rod of negligible mass connects two small objects at its ends. One object has mass $$1.00\ \mathrm{kg}$$ and the other is unknown. The center of mass is $$1.60\ \mathrm{m}$$ from the $$1.00\ \mathrm{kg}$$ object. What is the mass of the other object?

Accepted Answer

$$0.625\ \mathrm{kg}$$

Question 6

A turbine blade rotates with angular velocity $$\omega(t) = 2.00 + 2.00t^3$ rad/s. What is the angular acceleration of the blade at t = 1.0$$\ \mathrm{s}$$?

Accepted Answer

$$12.0\ \mathrm{$$rad/s^2$$}$$

Question 7

A $$50\ \mathrm{N}$$ force is applied at the end of a $$0.30\ \mathrm{m}$$ long wrench. If the torque must be less than $$10\ \mathrm{N\cdot m}$$, what is the smallest angle between the wrench handle and the direction of the applied force?

Accepted Answer

$$13^{\circ}$$

Question 8

Block 1 and Block 2, each of mass $$m$$, are released from the top of two inclined planes of equal height but different angles ($$30^{\circ}$$ and $$60^{\circ}). $$Both blocks slide down with friction. If the coefficient of friction is the same, which block reaches the bottom with greater speed?

Accepted Answer

Block 2, the one on the steeper incline

Question 9

The graph shows the potential energy $$U(x) of a $$particle as a function of position. At which point is the magnitude of the force on the particle greatest?

Accepted Answer

Point 2

Question 10

A graph of force as a function of position is shown. What is the work done by the force as the object moves from $$x = 1.0\ \mathrm{m} to$$ $$x = 4.0\ \mathrm{m}$$?

Accepted Answer

$$7.0\ \mathrm{J}$$

Question 11

A simple harmonic oscillator has amplitude $$A = 3.50\ \mathrm{cm}$$ and maximum speed $$v_{\mathrm{max}} = 26.0\ \mathrm{cm/s}. $$What is its speed when the displacement is $$1.75\ \mathrm{cm}$$?

Accepted Answer

$$22.5\ \mathrm{cm/s}$$

Question 12

A mass $$M is $$attached to an ideal massless spring. When set in motion with amplitude $$A$$, it has a period $$T. $$What is the period if the amplitude is increased to $$2A$$?

Accepted Answer

$$T$$

Question 13

A bullet of mass $$m is $$fired into a wooden block of mass $$M$$ resting on a frictionless surface and attached to a spring of spring constant $$k. $$The bullet is embedded in the block, compressing the spring by a maximum distance $$d. $$What is the initial velocity of the bullet in terms of $$m$$, $$M$$, $$k$$, and $$d$$?

Accepted Answer

$$v = \dfrac{M+m}{m}\sqrt{\dfrac{k}{M+m}}d$$

Question 14

In an Atwood machine, two masses $$m_1$$ and $$m_2$$ are connected by a massless string over a pulley of radius $$R$$ and moment of inertia $$I. $$What is the angular acceleration $$\alpha of $$the pulley?

Accepted Answer

$$\alpha = \dfrac{(m_2$ - m_1$)gR}{I + (m_1$ + m_2$)R^2$$}$

Question 15

A $$2.0\ \mathrm{kg}$$ block slides down a frictionless incline of height $$h = 5.0\ \mathrm{m}. $$What is its speed at the bottom?

Accepted Answer

$$10.0\ \mathrm{m/s}$$

Question 16

A $$0.50\ \mathrm{kg}$$ mass is attached to a spring with $$k = 200\ \mathrm{N/m}. $$What is the period of oscillation?

Accepted Answer

$$0.314\ \mathrm{s}$$

Question 17

A $$1.0\ \mathrm{kg}$$ object moves in a circle of radius $$0.50\ \mathrm{m} at a $$constant speed of $$2.0\ \mathrm{m/s}. $$What is the magnitude of the net force acting on the object?

Accepted Answer

$$8.0\ \mathrm{N}$$

Question 18

A $$0.20\ \mathrm{kg}$$ ball is thrown vertically upward with a speed of $$10\ \mathrm{m/s}. $$What is the maximum height it reaches?

Accepted Answer

$$5.1\ \mathrm{m}$$

Physics II Exam Study Guide: Momentum, Energy, Rotational Motion, Oscillations, and Related Topics

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