Q: A projectile is launched at an angle $$\theta$$ above the horizontal with an initial speed $$v_0. $$Which of the following correctly gives the time of flight (total time in the air) if it lands at the same height from which it was launched?

$$t = \dfrac{2 v_0$ \sin \theta}{g}$$

Q: A disk rotates with constant angular acceleration. If its initial angular velocity is $$\$$omega_0$$ and after time t$ its angular velocity is $$\omega$$, what is the angular displacement $$\theta$$ during this time?

$$\theta = \dfrac{(\omega + \$$omega_0$$)t}{2}$$

Question 1

A car accelerates uniformly from rest to a velocity of $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

$$2\ \mathrm{m/s^2$}$$

Question 2

A projectile is launched at an angle $$	heta$$ above the horizontal with an initial speed $$v_0. $$Which of the following correctly gives the time of flight (total time in the air) if it lands at the same height from which it was launched?

Accepted Answer

$$t = \dfrac{2 v_0$ \sin 	heta}{g}$$

Question 3

A $$5\ \mathrm{kg}$$ box is pulled across a horizontal surface with a force of $$30\ \mathrm{N} at an $$angle of $$30^\circ$$ above the horizontal. If the coefficient of kinetic friction is $$0.2$$, what is the acceleration of the box? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.4\ \mathrm{m/s^2$}$$

Question 4

Which of the following best describes the difference between elastic and inelastic collisions?

Accepted Answer

In elastic collisions, both momentum and kinetic energy are conserved; in inelastic collisions, only momentum is conserved.

Question 5

A $$2\ \mathrm{kg}$$ object moving at $$4\ \mathrm{m/s}$$ collides head-on and sticks to a $$3\ \mathrm{kg}$$ object at rest. What is the final velocity of the combined mass after the collision?

Accepted Answer

$$1.6\ \mathrm{m/s}$$

Question 6

A ball is dropped from a height $$h$$ and bounces back to a height of $$0.8h. $$What fraction of the ball's kinetic energy is lost during the bounce?

Accepted Answer

$$0.2$$

Question 7

A disk rotates with constant angular acceleration. If its initial angular velocity is $$\$$omega_0$$ and after time t$ its angular velocity is $$\omega$$, what is the angular displacement $$	heta$$ during this time?

Accepted Answer

$$	heta = \dfrac{(\omega + \$$omega_0$$)t}{2}$$

Question 8

A $$0.5\ \mathrm{kg}$$ mass is attached to a spring with spring constant $$k = 200\ \mathrm{N/m}. $$What is the period of oscillation?

Accepted Answer

$$T = 0.314\ \mathrm{s}$$

Question 9

A sound wave travels through air at $$340\ \mathrm{m/s}. If $$its frequency is $$1700\ \mathrm{Hz}$$, what is its wavelength?

Accepted Answer

$$0.2\ \mathrm{m}$$

Question 10

A $$1.0\ \mathrm{kg}$$ block slides down a frictionless incline of height $$2.0\ \mathrm{m}. $$What is its speed at the bottom?

Accepted Answer

$$6.26\ \mathrm{m/s}$$

Question 11

A satellite orbits Earth in a circular orbit of radius $$R. If $$the gravitational force provides the necessary centripetal force, which equation correctly relates the satellite's speed $$v to$$ $$R$$ and Earth's mass $$M$$?

Accepted Answer

$$v = \sqrt{\dfrac{GM}{R}}$$

Question 12

A $$0.2\ \mathrm{kg}$$ ball is swung in a horizontal circle of radius $$0.5\ \mathrm{m} at a $$speed of $$2\ \mathrm{m/s}. $$What is the tension in the string?

Accepted Answer

$$1.6\ \mathrm{N}$$

Question 13

A $$3\ \mathrm{kg}$$ object is attached to a string and swung in a vertical circle of radius $$2\ \mathrm{m}. $$What is the minimum speed at the top of the circle to keep the string taut?

Accepted Answer

$$4.43\ \mathrm{m/s}$$

Question 14

A $$0.5\ \mathrm{kg}$$ block is pushed against a spring (with $$k = 100\ \mathrm{N/m}) $$and compresses it by $$0.1\ \mathrm{m}. $$What is the maximum speed the block can reach after being released on a frictionless surface?

Accepted Answer

$$2.0\ \mathrm{m/s}$$

Question 15

A $$1.0\ \mathrm{kg}$$ object at rest explodes into two pieces, one of mass $$0.4\ \mathrm{kg}$$ moving at $$3\ \mathrm{m/s}. $$What is the velocity of the other piece?

Accepted Answer

$$-2\ \mathrm{m/s}$$

Question 16

A $$0.1\ \mathrm{kg}$$ mass oscillates on a spring with amplitude $$0.2\ \mathrm{m}$$ and period $$0.5\ \mathrm{s}. $$What is the maximum speed of the mass?

Accepted Answer

$$2.51\ \mathrm{m/s}$$

Question 17

A $$0.5\ \mathrm{kg}$$ object is heated from $$20^\circ\mathrm{C} to$$ $$70^\circ\mathrm{C}$$, absorbing $$10,500\ \mathrm{J} of $$heat. What is the specific heat capacity of the object?

Accepted Answer

$$420\ \mathrm{J/(kg\cdot ^\circ C)}$$

Question 18

A $$2.0\ \mathrm{kg}$$ block moving at $$5.0\ \mathrm{m/s}$$ collides elastically with a stationary $$3.0\ \mathrm{kg}$$ block. What is the velocity of the $$2.0\ \mathrm{kg}$$ block after the collision?

Accepted Answer

$$-1.0\ \mathrm{m/s}$$

Question 19

A $$0.3\ \mathrm{kg}$$ mass attached to a string is swung in a horizontal circle of radius $$0.6\ \mathrm{m} at$$ $$4\ \mathrm{m/s}. $$What is the required centripetal force?

Accepted Answer

$$8.0\ \mathrm{N}$$

College Physics I Syllabus and Course Structure

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드