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The leaf hopper, champion jumper of the insect world, can

jump straight up at 4 m/s2. The jump itself lasts a mere 1 ms before the insect is clear of the ground.

a. Draw a free-body diagram of this mighty leaper while the

jump is taking place.

b. While the jump is taking place, is the force of the ground on

the leaf hopper greater than, less than, or equal to the force of

gravity on the leaf hopper? Explain.

Short Answer

Expert verified

a. Free-body diagram shows all the forces acting on the champion jumper while it is in the act of jumping.

b. The force by the ground should be grater than the force of gravity on the leaf hopper.

Step by step solution

01

Part a Step 1: Introduction

The free body diagram is a pictorial representation of an object under some forces where the objects act as the particle and the forces acting on the object.

02

Free-body diagram

  • The mighty leaper is jumping with an acceleration of 4m/s2.
  • When the leap hopper is jumping up, there must be a long-range gravitational force acting downwards.
  • Vertically upward, there must be a normal force as the leap hopper is in the contact of the ground that exerts an upward force on the champion jumper before it starts jumping.
  • Therefore, there is a net upward force due to which the leap hopper is jumping up and lasts there for 1ms.

Thus, the free-body diagram should be as follows:

03

Part b Step 1: Given data

The mighty leaper is jumping upward with an acceleration of 4m/s2.

The force that the ground exerts on leap hopper is called the normal force which acts vertically upward, parallel to the direction of motion.

04

Explanation

  • While the leaf hopper is in the act of jumping, it experiences an upward acceleration. So, the net force acting on it must be upward.
  • The normal force and the force due to gravity are acting in the vertical direction.
  • Thus, the force of the ground on the leap hopper, known as normal force must be greater than the force due to gravity so that the net force act along upward direction.

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