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r 5 HW ession masteringphysics.com/myct/itemView?assignmentProblemID 85571206 Chapter 5 HW Predict/Calculate Problem 5.70 s 7of 9 I nex Predict/Calculate Problem 5.70 Part A IP Grasshopper Liftoff To become airborne, a 2.0 g grasshopper requires a takeoff speed of 2.6 m/s.It acquires this speed by extending its hind legs through a distance of 3.8 cIn What is the average acceleration of the grasshopper during takeoff? Express your answer using two significant figures. a 89 m/s2 Submit My Answers Give Up Correct Part B Find the magnitude of the average net force exerted on the grasshopper by its hind legs during takeoff rtain Express vour answer using two sianificant fiaures www.godaddy.com/SmartLine/Phone-Numbers Get a Better Professional Phone Number & Manage Calls from Your Mobile Phone. com Grasshopper Phone Systems | com CompareBusinessPhones.com Get Grasshopper Phone Reviews. Free Phone System Comparison Chart d & Drink mes & Recreation

Explanation / Answer

given,

mass of grasshopper = 2 * 10^-3 kg

final speed = 2.6 m/s

distance = 3.8 * 10^-2 m

by third equation of motion

v^2 = u^2 + 2as

initial velocity = 0

2.6^2 = 2 * a * 3.8 * 10^-2

a = 88.94 m/s^2

force = mass * acceleration

force = 2 * 10^-3 * 88.94

force = 0.17788 N

from first part of the question we got that

a = v^2 / 2s

here acceleration is independent of mass so on increasing the mass of grass acceleration will remain the same

since force = mass * acceleration

here we can see that force is directly dependent on the mass so on increasing the mass of grasshopper required takeoff force will increase

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