Physics Projectile Motion Quiz

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Questions and Answers

What force primarily influences a projectile's motion after it has been launched?

The force applied by external objects during the flight.
Air resistance acting against the projectile's movement.
The initial forward force imparted during launch.
The weight force due to gravity. (correct)

The horizontal velocity of a projectile changes consistently throughout its flight due to the constant force of gravity.

False (B)

At what point in the trajectory of an obliquely launched projectile is its vertical velocity equal to zero?

At the highest point of its trajectory

In projectile motion analysis, the acceleration in the horizontal direction ($a_x$) is typically considered to be ______, assuming negligible air resistance.

zero Signup and view all the answers

Match the following steps with their corresponding descriptions in solving projectile motion problems:

Draw a diagram = Visually represent the problem to understand the trajectory and given variables. Separate vertical and horizontal components = Resolve initial velocity into its x and y components using trigonometry. Horizontal movement = Apply kinematic equations with constant horizontal velocity (ax = 0). Vertical movement = Apply kinematic equations with constant vertical acceleration due to gravity. Signup and view all the answers

A ball is thrown at an angle of 30 degrees above the horizontal with an initial velocity of 20 m/s. What is the initial vertical component of the velocity?

10 m/s (D) Signup and view all the answers

The time it takes for a projectile to reach its maximum height is independent of its initial vertical velocity.

False (B) Signup and view all the answers

A projectile's flight path, assuming uniform gravity and negligible air resistance, follows a ______ trajectory.

parabolic Signup and view all the answers

An object is moving in uniform circular motion. Which of the following statements is true?

The object's speed is constant, but its velocity is changing. (B) Signup and view all the answers

The period of an object in circular motion is the number of rotations completed each second.

False (B) Signup and view all the answers

A particle is traveling with a constant speed of $5 m/s$ around a circle with a radius of $2m$. What is the magnitude of its centripetal acceleration?

12.5 m/s^2 Signup and view all the answers

The formula that relates instantaneous velocity (v) to angular velocity ($ \omega $) and radius (r) is v = _______.

ωr Signup and view all the answers

Match the following terms related to circular motion with their correct descriptions:

Period (T) = Time taken for one complete revolution Frequency (f) = Number of rotations completed per second Angular Velocity ($ \omega $) = Rate of change of angular displacement Centripetal Acceleration ($a_c$) = Acceleration directed towards the center of the circle Signup and view all the answers

A car is moving around a circular track with a radius of 50 meters. If the car's angular velocity is 0.2 rad/s, what is its instantaneous velocity?

10 m/s (B) Signup and view all the answers

Centripetal force is a fundamental force of nature, like gravity or electromagnetism.

False (B) Signup and view all the answers

An object is in uniform circular motion with a period of 2 seconds and a radius of 3 meters. Calculate its instantaneous velocity.

9.42 m/s Signup and view all the answers

In a conical pendulum, which of the following forces act upon the mass as it travels in a horizontal circle?

Tension, gravitational force, and centripetal force (D) Signup and view all the answers

The centripetal force in a conical pendulum is a fundamental force of nature, like gravity or electromagnetism.

False (B) Signup and view all the answers

A conical pendulum is swinging, and the radius of the circle is decreased. What happens to the angle between the string and the vertical axis?

The angle decreases. Signup and view all the answers

Banked tracks are inclined at some ______ to the horizontal which allows cars to maintain greater speeds.

angle Signup and view all the answers

Match the following variables with their corresponding formulas used in circular motion:

Centripetal Acceleration = $a_{c} = \frac{v^{2}}{r}$ Linear Velocity = $v = \frac{2\pi r}{T}$ Centripetal Force = $F_{c} = \frac{mv^{2}}{r}$ Angular Velocity = $\omega = \frac{\mathrm{\Delta}\theta}{t}$ Signup and view all the answers

A car is driving around a banked track. What is the primary benefit of using a banked track compared to a flat track?

Greater possible speed without losing control (A) Signup and view all the answers

The angle of a banked track is independent of the speed a vehicle is traveling.

False (B) Signup and view all the answers

A car traveling on a banked track hits the wall in front of it. Describe the direction in which the acceleration acts.

toward the center of the circle Signup and view all the answers

What force provides the centripetal force required for an object to maintain a circular orbit around a central body?

Gravitational Force (B) Signup and view all the answers

Torque is a force.

False (B) Signup and view all the answers

State the equation to determine the banking angle of a curved road.

tan = v^2/rg Signup and view all the answers

According to Kepler's Law of Periods, the ratio of $r^{3}$ to $T^{2}$ is ______ for all satellites orbiting the same central body.

constant Signup and view all the answers

Match the following orbital characteristics with the type of satellite:

Low Earth Orbit (LEO) = Short orbital period, lower altitude Geostationary Orbit (GEO) = Orbital period of 24 hours, high altitude Elliptical Orbit = Velocity is not constant Signup and view all the answers

What happens to gravitational potential energy as the distance, r, increases?

Gravitational potential energy increases (D) Signup and view all the answers

Gravity can repel objects.

False (B) Signup and view all the answers

State the expression for escape velocity.

v = (2GM/r) Signup and view all the answers

A car is moving around a banked curve at its design speed. What is the primary benefit of banking the curve at the correct angle?

It eliminates the need for sideways friction (A) Signup and view all the answers

Torque () is calculated using the formula = r * F * sin(), where is the angle between the radius vector and the ______ vector.

force Signup and view all the answers

Flashcards

Projectile

Any object thrown or projected into the air, moving freely without a power source.

Ballistic flight path

The path a projectile follows, which is parabolic in shape.