Physics 2305 Exam 1 Practice Problems

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Questions and Answers

What is the distance between object A and object B at time t = 3.00 s?

29.8 m (correct)

18.2 m

15.0 m

3.46 m

What is the longest time you can stop for dinner if you must travel 541 mi in 9.6 h total, driving at a maximum of 65 mi/h?

0.5 h

1.5 h

1.0 h

1.2 h (correct)

How far from the castle wall does the fired cannonball hit the ground if fired at a speed of 45 m/s horizontally?

36 m

54 m

7.1 m

47 m (correct)

Approximately how fast must you toss a ball straight up to take 2 s to return to the same level?

10 m/s Signup and view all the answers

Which choice lists the speed of the projectile at each point from greatest to least?

A, B = D, C Signup and view all the answers

Which choice lists the acceleration of the projectile at each point from greatest to least?

A = B = C = D Signup and view all the answers

What can be said about the magnitude of a vector compared to its components?

It can never be less than the magnitude of one of its components. Signup and view all the answers

What is a complete set of possible answers for the maximum distance a fired cannonball can travel horizontally?

54 m Signup and view all the answers

How high is the tallest cliff discovered on Uranus’s moon Miranda?

7.1 km Signup and view all the answers

What is the speed of the rock when it hits the bottom after being dropped from the cliff?

56 m/s Signup and view all the answers

At time T, which statement is true about the car and the truck traveling along the straight road?

The truck will have traveled farther than the car. Signup and view all the answers

How far above the ground does Batman's grappling hook catch the keys?

Not before the keys hit the ground Signup and view all the answers

Which stone has the largest change in its velocity over a one second interval after being released?

The second stone Signup and view all the answers

If a rock falls from a height of 30 m, what is the time taken to reach the ground assuming no air resistance?

1.5 s Signup and view all the answers

Which of the following statements applies to the objects dropped from a height?

All objects fall at the same rate regardless of mass. Signup and view all the answers

What is the total distance traveled by the keys and the grappling hook when both are falling?

100 m Signup and view all the answers

What motion behavior can be described for the object that starts with a constant velocity, stops, and then moves towards the west?

The object initially moves east and then west after stopping. Signup and view all the answers

Which of the following quantities are different for a light ball dropped and a heavy ball thrown straight down from the same height?

The heavy ball has a shorter time of flight. Signup and view all the answers

When Jan and Len throw identical rocks off a tall building under negligible air resistance, which statement holds true about the rocks?

They both hit the ground at the same time regardless of throwing angle. Signup and view all the answers

What does the stroboscopic photograph indicate about the object's velocity as it moves along a horizontal surface?

The velocity remains constant over time. Signup and view all the answers

What is the correct maximum height reached by a football kicked at an angle of 55° at a velocity of 15 m/s?

7.7 m Signup and view all the answers

What angle below the horizontal does a hockey puck reach just before hitting the ground after sliding off a table from an initial velocity of 28.0 m/s?

60° Signup and view all the answers

Which of the following statements regarding projectile motion is false when a football is kicked at an angle?

The trajectory is a straight line. Signup and view all the answers

How does the time of flight of the two balls, when dropped and thrown downwards, compare?

Both balls have equal time of flight. Signup and view all the answers

How high should security look for the hotel guests if balloons pass a window that is 1.6 m tall for 0.15 seconds?

10.0 m above the top of your window Signup and view all the answers

What adjustment should the player make to successfully shoot a basketball on Mars with a gravity of 3.8 m/s²?

Shoot the basketball at the same launch angle, but at a higher speed Signup and view all the answers

How far off will the shell land from the buoy when launched with a tailwind at 100 m/s from a height of 50 m?

20.0 m Signup and view all the answers

At what angle should the landing ramp slope down if it's 15 m lower than the jump and the jump is at a 45° angle?

58° Signup and view all the answers

What horizontal distance will Watney have to walk to retrieve the potato thrown at a 30° angle with an initial velocity of 5.0 m/s?

Approximately 8.1 m Signup and view all the answers

What can a player do to keep the trajectory of a basketball shot when moving from Earth to Mars?

Increase the release speed while maintaining angle Signup and view all the answers

If a shell is launched at 100 m/s with a tailwind and misses the target, which factor contributes to its landing distance?

Wind speed during flight Signup and view all the answers

If the angle of the jump is critical for a motocross bike landing, what should be verified?

The landing ramp angle should equal the jump angle Signup and view all the answers

What is the ratio of the radius of motion of particle A to that of particle B if particle A's acceleration is 8.5 times that of particle B and the period of particle B is 2.0 times the period of particle A?

rA / rB = 4.3 Signup and view all the answers

What is the new period of the Earth's rotation if the centripetal acceleration at the equator equals g (9.80 m/s²)?

48.9 min Signup and view all the answers

While a car travels around a circular track at a constant speed, what is true about its acceleration?

The car's acceleration is constant and nonzero. Signup and view all the answers

From the passenger's viewpoint on the eastbound train, how can she determine the train's speed based on the cannon ball's behavior?

The train is traveling about 251 km/h. Signup and view all the answers

If a train is moving at a constant speed of 20.0 m/s and turns right, what remains constant during this maneuver?

The speed of the train. Signup and view all the answers

What is the effect on the weight of people at the equator if the Earth's rotation speed is increased to create centripetal acceleration equal to g?

They will experience weightlessness. Signup and view all the answers

During the cannon's firing, why does the cannonball appear to move only vertically from the passenger's perspective?

The horizontal motion is offset by the train's speed. Signup and view all the answers

What is true about the velocity of a car traveling in a circular track at a constant speed?

The velocity direction is changing continuously. Signup and view all the answers

Study Notes

Exam Overview

Covers content from Chapters 1–4.5 of the course text.
Practice problems provided for exam preparation.
Additional problems included beyond what will appear on the actual exam.
An answer key is available at the end of the practice problems.

Motion of Objects

Object A's position: (s_A(t) = (3.00 , \text{m/s}) t \hat{i} + (1.00 , \text{m/s}^2) t^2 \hat{j}).
Object B's position: (s_B(t) = (4.00 , \text{m/s}) t \hat{i} + (-1.00 , \text{m/s}^2) t^2 \hat{j}).
Distance between A and B calculated at (t = 3.00 , \text{s}).

Driving and Distance Calculations

Maximum safe driving speed: 65 mi/h.
Total trip distance: 541 mi in 9.6 h; calculate maximum dinner stop time.

Projectile Motion

A cannonball fired at 45 m/s and 0° above horizontal; another dropped from the same height hits the ground in 1.2 s.
Calculation for the horizontal distance traveled by the fired cannonball.

Vertical Motion and Simulation

Vertical toss duration: 2 s; find required initial toss speed for a ball.
Speed comparisons for projectiles at different points in their trajectories.

Vector and Motion Questions

Understanding vector magnitudes against their components.
An object transitioning from east to west, stopping and changing speed; analyze motion graph representation.

Free Fall and Impact Factors

Comparison of time of flight for different sized balls (light vs. heavy) dropped from the same height.
Two rocks thrown downward with varying angles and speeds to compare landing times.

Graphical Representation of Motion

Stroboscopic photography used to depict object movement; identify appropriate velocity-time graphs.

Projectile Heights and Angles

Maximum height calculation for a football kicked at a certain angle.
Determine angles of hockey puck velocity just before it hits the ground.

Gravitational Effects on Bodies

Examine free fall in different gravitational environments (Uranus's moon).
Determine cliff height and impact speed of dropped rocks in specified gravitational fields.

Vehicle Motion Analysis

Velocity-time graphs for comparing the distances traveled by different vehicles.

Catching Objects in Motion

Assess the scenario of intercepting dropped objects (keys vs. grappling hook) after a delay.

Stone Thrown from a Height

Analyzing changes in velocity for stones thrown off a cliff at different angles.

Water Balloon Drop Analysis

Timing down the length of the window to determine the dropping height; identify potential locations of dropping objects.

Adjustments for Different Gravity Conditions

Calculate necessary adjustments for basketball shooting on Mars compared to Earth.

Horizontal Shell Launch

Determine the distance a shell lands from its intended target given altered acceleration due to wind conditions.

Ramp Angle Calculation

Calculate the required slope of a landing ramp for a motocross bike that jumps and lands at the same angle.

Projectile Trajectory on Different Gravity

Assess the distance traveled by a potato thrown at an angle with specific conditions on Mars.

Circular Motion Characteristics

Understanding acceleration and velocity during uniform circular motion.

Period of Earth's Rotation

Discussion on changing Earth's rotation speed and the resultant period to create weightlessness at the equator.

Train and Cannonball Perspective

Analyze how the speed of a train affects the apparent motion of a cannonball from a passenger’s perspective.

Constant Speed Turning

Understand motion dynamics when driving at a constant speed while turning.

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Description

Prepare for your Physics 2305 Exam 1 with these practice problems covering Chapters 1 to 4.5. This set is designed to enhance your understanding and readiness, offering additional questions beyond your standard curriculum. Note that these problems are meant for practice and may not reflect the actual exam questions.