Physics Final Study Guide

Which of the following would be considered derived units in the Internal System?

- kgm/s2 - m^3

An object moves with an initial velocity vx and accelerates in the y axis with an acceleration ay.

- the equation y=1/2ayt2 is valid - the equation x=vxt is valid

A car traveling in a straight line at 14 m/s when the driver puts on the brakes and comes to a top in 35 s. What is the average acceleration of the car while it is braking?

-0.40 m/s2

If a 10 kg ball and a 40 kg box are dropped from the top of a building at the same time, then the acceleration would be approximately:

-10 m/s2 for both objects.

A man is running 12 m/s at 210o. What is the x component of his velocity?

-10. m/s

A man is running 12 m/s at an angle of -75o. What is the y component of his velocity?

-12 m/s

What is the y component of a jet flying 211 m/s at 215o?

-121 m/s

Using the v-t graph above, what is the change in position from t=6.0s to t=8.0s?

-14 m

A car traveling in a straight line at 14 m/s when the driver puts on the brakes and comes to a top in 35 m. What is the average acceleration of the car while it is braking?

-2.8 m/s2

Using the a-t graph above determine the change in velocity from t=6.0s to t=10.0s.

-28 m/s

An object traveling in a straight line at 14 m/s when it begins to undergo an acceleration. The object has a displacement of 25 m in the next 5.0 s. What is the acceleration of the car?

-3.6 m/s2

A woman swims directly across a river at 3.0 m/s but the water is running downstream at 5.0 m/s. Which of the following could be considered the angle of the woman's velocity relative to the shore?

-31o

A rock is thrown vertically downward at an initial velocity of 50. m/s. What is the displacement of the rock after 7.0 s?

-590 m

A man is running 12 m/s at 120o. What is the x component of his velocity?

-6.0 m/s

A cannon sits on the edge of a castle wall that is 15 m above the ground. A cannon ball leaves the cannon with an initial velocity of 25 m/s at 30o to the horizontal. After 3.0 s how far has the cannon ball traveled vertically?

-6.6 m

Using the a-t graph above determine the change in velocity from t=10.0 to t=16.0s.

-60. m/s

Using the v-t graph above, determine the change in position of the object from t=2.0 s to t=5.0s

-9.0 m

Which of the following is a fundamental unit of the International System of Units?

-Second -Kilogram

Which of the following are NOT vectors? (Please choose all that are correct)

-The temperature outside -A persons height -The age of the Earth

A cannon sits on the edge of a castle wall that is 5.0 m above the ground. A cannon ball leaves the cannon with an initial velocity of 25 m/s at 30o to the horizontal. At its highest point what is the vertical velocity of the cannon ball?

0 m/s

A rock is thrown vertically upward at an initial velocity of 30 m/s. What is the velocity of the rock when it reaches its maximum height?

0 m/s

Convert 0.092 kg to standard units

0.092 kg

A rock is thrown vertically upward and reaches a velocity of 70.0 m/s after it rises 305m. What was the initial velocity of the rock?

105 m/s

A rocket lifts off upward with an acceleration of 55 m/s2 but a sudden gust of wind causes a horizontal acceleration of 15 m/s2 to the left. What is the angle of the acceleration of the rocket at this instant relative to an observer on the ground?

105o

A rock is thrown vertically upward at an initial velocity of 50. m/s. What is the displacement of the rock when it has a velocity of -20. m/s?

110 m

A vector has an X component of 45.0 m when traveling at -66.7o. What is the magnitude of the vector?

114 m

Convert 19.2 hours to minutes.

1150 min

Express 12700 meters in engineering notation.

12.7km

Convert 3.74 hours to standard units.

13500 s

A rocket is traveling in the y axis with a velocity of 30.0 m/s. A wind blows horizontally causing to the rocket to accelerate in the +x axis. After 5.00 s the velocity is now 40.0 m/s at 75.0o. What is the magnitude of the displacement of the rocket?

152 m

A dog walks 25.0 m East then turns and walks 7.50 m North. What is the angle of the resultant of these two vectors?

16.7o

A dog walks 25.0 m West and then 7.50 m North. What is the angle of the sum of these two vectors?

163o

A man is walking along a flatbed car on a train in the same direction the train is traveling. If the train's speed is 15 m/s south and the man is walking 2.0 m/s relative to the train, how fast is the man traveling relative to a stationary observe standing next to the train?

17 m/s south

An airplane is traveling in the x axis with a velocity of 60.0 m/s. The plane accelerates in the y to avoid a storm. After 3.00 s the velocity is now 80. m/s at 35.0o. What is the magnitude of the displacement of the airplane during this time period?

193 m

A girl tries to measure the height from the floor to the ceiling but her tape measure is not long enough. She takes a board that she knows is 1 m tall and then measures up to get a value of 0.875 m. What is the height of the ceiling?

2 m

What is the displacement of a particle that has a position versus time of x(t) = t3-3t from t= 0.0 s to the particle's final position at t=2.0s?

2 m

Given a particle with the displacement versus time graph shown above, what is the average velocity of the particle from 0 s to 5.0 s

2.0 m/s

Given a particle with the displacement versus time graph shown above, what is the velocity of the particle at t = 4.5 s?

2.0 m/s

A car traveling in a straight line when the driver puts on the brakes slows to 14m/s in 35 s. If the car travels 620 m as it slows, what was the initial velocity of the car?

21 m/s

Starting from rest, on a straight road, a car accelerates at 3.5 m/s2. What is the cars velocity after 6.0s?

21 m/s

A dog walks 25.0 m East then turns and walks 7.50 m North. What is the magnitude of the sum of these two vectors?

26.1 m

A ball is observed to accelerate down a hill with an initial velocity 2.0 m/s and rolls for 10.0s. The acceleration is measured as 5.0 m/s2. How far does the ball travel?

270 m

For a car accelerating from rest, assuming all other variables remain unchanged, if the final velocity increases from v to 2v the time must have increase from t to

2t

For a car accelerating from rest, assuming all other variables remain unchanged, if you increased the acceleration from a to 2a you would expect the final velocity to increase from v to

2v

A sprinter running in a straight line passes through two gates at a constant speed of 6 m/s. If the first gate is a displacement of 10.0 meters from the starting line, and the second gate is a displacement of 30.0 meters from the starting, how much time elapsed between when sprinter passed the first and second gates?

3.33 s

What is the volume of a cube that is 3 m tall, 2 m wide, and 4.77 m deep?

30 m^3

A ball is observed to accelerate down a hill from 2.0 m/s to 10. m/s. The acceleration lasts for 5.0s. What is the displacement of the ball?

30. m

A boat is observed from above traveling in the positive y direction with an initial speed of 25 m/s and then begins accelerating at a constant rate. The boat accelerates at 6.0 m/s2 in the x axis for 3.0 s. What is the magnitude of the boat's velocity after 3.0 s?

31 m/s

A sprinter running in a straight line passes through two gates at a constant speed of 7.00 m/s. If the first gate is a displacement of 10.0 meters from the starting line, and sprinter passes the second gate 3.00 seconds after passing the first gate, what is the displacement of the second gate from the starting line?

31.0 m

Sarah is traveling west toward an intersection with a constant velocity of 26.3 m/s. John is traveling north toward the same intersection at a constant velocity of 18.4 m/s. How fast is Sarah travelling relative to John?

32.1 m/s, 35 degrees south of west.

Covert 32 kg to cg.

3200000 cg

Subtract 46.73 - 11 and determine the answer in significant figures.

36

A rocket is traveling in the y axis with a velocity of 30.0 m/s. A wind blows horizontally causing to the rocket to accelerate in the +x axis at 4.00 m/s2. After 5.00 s what is the magnitude of the rocket's velocity?

36 m/s

A 10. kg rock is dropped from rest from a 79m tower. How long does it take for the rock to reach the ground?

4.0 s

Neglecting air resistance, at what angle should a garden hose be aimed in order for the water to land with the greatest horizontal range?

45°

What is the circumference of a circle with a 7.38 cm radius? (carefully consider the number of significant figures)

46.4 cm

A vector has a Y component of -45.0 m when traveling at -66.7o. What is the magnitude of the vector?

49.0 m

Given two vectors: A=4i+2j and B=5i-3j Find the magnitude of: A-B

5.1

A woman swims directly across a river at 3.0 m/s but the water is running downstream at 5.0 m/s. What is the magnitude of the woman's velocity with respect to an observer on the shore?

5.8 m/s

Express .052 g in engineering notation.

52 mg

Three sticks of length 6.0 cm, 8.0 cm and 10.0 cm are assembled into a right triangle. What is the angle of the where the 6.0 cm stick connects to the 10.0 cm stick?

53º

Three sticks of length 9.0 cm, 12 cm and 15 cm are assembled into a right triangle. What is the angle of the where the 9.0 cm stick connects to the 15 cm stick?

53º

Add 46.73 + 11 and determine the answer in significant figures.

58

A man is running 12 m/s at 30.o. What is the y component of his velocity?

6.0 m/s

Starting from rest, on a straight road, a car accelerates at 3.5 m/s2. What is the cars velocity after it has gone 6.0 m?

6.5 m/s

A dog wonders down a road and travels 82.00 m from his home. His person calls him back and he turns and heads back 20 m before getting distracted by a squirrel. How far is he from his home when he gets distracted?

60 m

A cannon sits on the edge of a castle wall that is 5.0 m above the ground. A cannon ball leaves the cannon with an initial velocity of 25 m/s at 30o to the horizontal. After 3.0 s how far has the cannon ball traveled horizontally?

65 m

A powerful race boat accelerates West at 65 m/s2 when a rouge wave slaps the boat South with an acceleration of 20. m/s2. What is the magnitude of the acceleration at this moment relative to an observer sitting on a nearby deserted island?

68 m/s2

A rock is thrown vertically upward at an initial velocity of 70. m/s. How long does it take to reach its maximum height?

7.1s

A rock is thrown vertically upward at an initial velocity of 50. m/s. How much time has passed before the velocity has changed to -25 m/s?

7.7 s

A car is observed from above traveling in the positive x direction with an initial speed of 15 m/s and then begins accelerating at a constant rate in the y axis. The car reaches a final velocity of 25 m/s at 40.o after 2.0 s. What is the magnitude of the car's acceleration during this time period?

8.0 m/s2

Given two vectors: A=2i+4j and B=3i-4j Find the magnitude of: A-B

8.1

Given the vector relationship A + B = C. If the magnitudes of the vectors are related by A2 + B2 = C2 which of the following are true?

A and B are right angles to each other.

Cars A and B start at rest and travel with the same acceleration. Compare the displacement of car A to car B, after car A has traveled for twice the time of car B.

A goes four times as far as B

Given a particle with the displacement versus time graph shown above, during which interval(s) is the object moving toward the negative x direction?

C only

Given a particle with the displacement versus time graph shown above, during which interval(s) is the speed maximum?

C only

Given a particle with the displacement versus time graph shown above, during which interval(s) is the velocity minimum?

C only

Which of the following quantities in the x are independent of those in the y direction

Displacement, velocity and acceleration

In the trajectory shown below, the acceleration vector at point C is best represented by which of the following vectors?

Down

Suppose that an object experiences acceleration equal to zero. Which of the following is true?

In equal time periods it moves equal displacements.

Suppose that an object experiences constant acceleration. Which of the following is true?

In equal times its velocity changes by equal amounts.

The prefix for one million (10^6) is

Mega

Study of an automobile collision requires which of the following topics in physics?

Newtonian mechanics

In the trajectory shown below, the velocity vector at point A is best represented by which of the following vectors?

North of East

Which of the following statements about subatomic particles is true?

Protons and electrons have opposite charges

Two vectors have magnitudes A and B. If they are placed at right angles to each other, which of the following is true about the possible values of the magnitude R of the resultant vector? (Please choose all correct answers)

R<A+B

An object moves initially in the x axis with a velocity vx and accelerates in the y axis with an acceleration ay.

The acceleration must cause an increase in the magnitude of the velocity.

A passenger in a car is throwing a ball into the air while the car is travelling at a consent velocity. Which of the following is correct?

The car is an inertial reference frame

Which of the following is the NOT a correct relationship between distance and the magnitude of displacement as an object moves from point A to point B along the curved path shown?

The distance is equal to the magnitude of the displacement

A rock is dropped from the top of a building. At the same time, a second rock is thrown straight down from the same building. Compare the accelerations of the two rocks after being released.

The two rocks have equal rates of acceleration.

Given the vector relationship A + B = C. If the magnitudes of the vectors are related by A + B > C which of the following statements are true? (Choose all that are correct)

The vectors A and B could be the components of the vector C

An acceleration is applied to an object

There must be a change in either vx or vy

In the trajectory shown below, the y component of the velocity vector at point B is best represented by which of the following vectors?

Zero

The prefix for one one-thousandth (10^-3) is

milli

Which of the following variables must be the same in both the x and y axis for a moving object?

time (t)

If x is measured in meters, v and vo in m/s and a in m/s2, which of the following is NOT dimensionally consistent?

v2=vo2+2a

Which of the following statements is NOT true

vectors are defined by a magnitude and a compass relationship such as Northwest.

If x is measured in meters, v and vo in m/s and a in m/s2, which of the following is NOT dimensionally consistent?

½ at+vot

Which equation represents the angle θ in the drawing?

θ=cos^-1(3/7)

Which equation represents the angle θ in the drawing?

θ=sin^-1 (3/7)