Drawing Vectors and Scale Importance in Physics

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What is the weight (𝑾) of a body defined as?

The mass of the body multiplied by acceleration due to gravity

The mass of the body divided by the acceleration due to gravity

The gravitational force acting on a body due to all other bodies in space (correct)

The distance the body travels in space

What is the unit of force in the metric system?

Poundal

Dyne

Slug

Newton (correct)

According to Newton's Third Law of Motion, what can be said about the two forces involved?

They are unequal in magnitude and opposite in direction

They are unequal in magnitude and direction

They are equal in magnitude and direction

They are equal in magnitude and opposite in direction (correct)

In the equation 𝑊 = 𝑚𝑔, what does 'm' represent?

Mass of the body Signup and view all the answers

What is the unit of acceleration in the imperial system?

Feet/square second Signup and view all the answers

How is weight (𝑾) mathematically calculated using mass (𝑚) and gravity (𝑔)?

$𝑊 = 𝑚𝑔$ Signup and view all the answers

What type of collision is it when the final kinetic energy is less than the initial kinetic energy?

Completely inelastic Signup and view all the answers

In a perfectly inelastic collision, what happens to the two objects involved?

They stick together Signup and view all the answers

What is the total momentum of two bodies before and after a collision?

It remains the same Signup and view all the answers

What does the coefficient of restitution (e) measure in a collision?

Relative velocity of separation to approach Signup and view all the answers

In the equation 𝑚1𝑣1 − 𝑚2𝑣2 = 𝑚2𝑢2 − 𝑚1𝑢1, what does 𝑣1 represent?

Final velocity of body 1 Signup and view all the answers

What was the initial speed of the ship towards the reef?

2.5 m/s Signup and view all the answers

What was the total constant force exerted by the wind towards the reef?

9.00 x 10^3 N Signup and view all the answers

What was the total force exerted by the frictional drag force of water on the propeller?

1.25 x 10^5 N Signup and view all the answers

What was the mass of the ship and its cargo?

5.50 x 10^7 kg Signup and view all the answers

What was the distance of the ship from the reef when the rudder jammed?

900 m Signup and view all the answers

What action did the captain claim to take when he lost control of the ship's direction?

Put engines in reverse at maximum power Signup and view all the answers

What is the purpose of using a scale when drawing vectors?

To ensure the vectors fit within the available space Signup and view all the answers

What is the resultant force in the x-direction (ΣFx) for a series of forces with values 100, -150, -200, and angles of 0°, 30°, 60°, respectively?

-129.90 Signup and view all the answers

What is the resultant force in the y-direction (ΣFy) for a series of forces with values 100, -150, -200, and angles of 0°, 30°, 60°, respectively?

-201.79 Signup and view all the answers

What is one application of kinematics on vertical motion of bodies?

Describing the motion of a ball thrown vertically upwards Signup and view all the answers

What is the main objective of the lesson 'Rectilinear Motion and Projectile'?

All of the above Signup and view all the answers

How can a passenger on a vehicle compute the distance between equally spaced electric posts?

By using a stopwatch to record the time elapsed at every post Signup and view all the answers

What total force must the ropes holding a swing be able to withstand if the horizontal speed at the lowest point is 3 m/s?

20 N Signup and view all the answers

What is the highest speed a 200-gram ball can have at the end of a 1000 cm long string if the string has a breaking point of 4 N?

2 m/s Signup and view all the answers

If a 1000-g ball is tied to a string and whirled in a vertical circle at 1 revolution per second, what is the speed of the body at the highest point if the tension at the highest point is zero?

4.4 m/s Signup and view all the answers

If a body is moving along a circular path with a centripetal force three times its weight, what is the period of motion if the radius of the circle is 2.86 m?

2.0 s Signup and view all the answers

Find the angle of banking for a curve along a highway designed for cars moving at 100 kilometers per hour, given that the radius of the curve is 200 m.

20° Signup and view all the answers

While working as a delivery person, what is the minimum angle of banking needed for your truck to safely navigate a curve with a radius of 50 meters while carrying a crate of eggs?

10° Signup and view all the answers