Super Hornet jet takeoff A 2.1 ×10^4-kg F-18 Super Hornet jet airplane (see Figure P 2.33 ) goes

step 1 Welcome back to Numerud. My name is Kevin Chirac. Let's take a look at this problem here, where

Super Hornet jet takeoff A 2.1 ×10^4-kg F-18 Super Hornet...

Super Hornet jet takeoff A $2.1 \times 10^{4}-\mathrm{kg} \mathrm{F}-18$ Super Hornet jet airplane (see Figure $\mathrm{P} 2.33 )$ goes from zero to 265 $\mathrm{km} / \mathrm{h}$ in 90 $\mathrm{m}$ during takeoff from the flight deck of the USS Nimitz aircraft carrier. What physical quantities can you determine using this information? Make a list and determine the values of three of them.

Key Concepts

Kinematic Equations for Constant Acceleration

This concept involves using equations that relate displacement, velocity, acceleration, and time (such as v² = u² + 2ax) for objects under constant acceleration. It allows one to determine unknown quantities like acceleration when initial and final speeds and displacement are provided.

Time Interval Determination

After calculating acceleration using kinematic equations, the time taken for the motion can be determined using relations like v = u + at. This concept is key to linking how long an object takes to reach a specified speed from rest over a given distance.

Newton’s Second Law (Net Force Calculation)

Newton’s Second Law establishes that the net force acting on an object equals the product of its mass and acceleration (F = m*a). This principle allows for determining the net force required for the motion once the mass and acceleration are known.

Work and Kinetic Energy

Using the work-energy theorem, one can relate the work done on an object to its change in kinetic energy, with kinetic energy expressed as (1/2)mv². This concept helps in understanding the energy needed to increase an object’s speed over a distance.

Unit Conversions

Consistent unit usage is crucial in solving physics problems. Converting quantities such as speed from kilometers per hour to meters per second ensures that all terms in the equations are compatible and the calculations yield correct physical results.

Transcript

00:01 Welcome back to numerud.

00:02 My name is kevin chirac.

00:03 Let's take a look at this problem here, where we have a 2 .1 times 10 to 4th kilogram f -18 super hornet jet airplane that goes from 0 to 265 kilometers per hour in 90 meters during takeoff from the flight deck of the uss nimitz aircraft.

00:18 What physical quantities can you determine from this information? and let's make a list and determine what the values of three of them are.

00:24 Well, the first thing that we can recognize is that we have some information here that's not an si units, right? we have this.

00:31 265 times 10 to the third meters per hour.

00:35 So you're going to want to do the division there and divide that by 3 ,600 to convert hours into seconds.

00:41 And that'll get us 73 ,611.

00:50 And that'll now be meters per second.

00:53 So that'll be a lot easier to analyze.

00:55 Well, one thing that we can calculate is we can calculate the acceleration that is average.

00:59 And we can do so via kinematics.

01:00 So we'll use vf squared equals vi squared plus 2a delta.

01:05 And we can do this because if we consider just the average acceleration, then the average acceleration has to be constant.

01:14 So we can use kinematics to help us estimate that.

01:16 So now we have 73 ,611, that's going to be squared.

01:22 The vi squared.

01:24 Well, that's just zero because it starts from rest.

01:27 So zero squared.

01:28 That'll be then plus two, a average is what we're calculating.

01:32 And then the delta x is going to be that 90 meters.

01:38 So to solve all this out, we can take our.

01:40 73 ,611...

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