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Chapter 5: Q5Q (page 206)

Question: Tarzan swings from a vine. When he is at the bottom of his swing, as shown in Figure 5.63, which is larger in magnitude: the force by the Earth on Tarzan, the force by the vine (a tension force) on Tarzan, or neither (same magnitude)? Explain how you know this.

Short Answer

Expert verified

Answer

The vine's tension force is greater than the gravitational force.

Step by step solution

01

Definition of the tension force

Tension force is the type of force generated when a load is applied directed away from one or more ends of a material, usually to the cross-section of the material. A tension force is also referred to as a pulling force.

02

Representation of the diagram

As Tarzan swings, the net force acting on him at the bottom of the swing acts in the direction of the rate of change of momentum, which is upward.

Tarzan's veins exert a stronger upward force than their veins exert a downward force. Tarzan must use this upward force to drive himself upward.

The free body diagram for the given situation is shown in below figure,

Here mgis the gravitation force acting on the person, Tis the tension force offered

by vine, and Fcis the centripetal force.

03

Applying the Newton’s second law

Write the net force acting on the Tarzan, according to Newton's second law of motion.

Fc=T-mg

Reorganize the above equation to obtainT.

T=Fc+mg

Thus, the vine's tension force is greater than the gravitational force.

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Most popular questions from this chapter

When a particle with electric charge q moves with speed v in a plane perpendicular to a magnetic field B ,there is a magnetic force at right angles to the motion with magnetic qvB ,and the particle moves n a circle of radius r (see Figure 5.77). This equation for the magnetic force is correct even if the speed is comparable to the speed of light. Show that

p=mv1-(|v鈫�|/c)2=qBreven if is comparable to c.

This result is used to measure relativistic momentum: if the charge q is known, we can determine the momentum of a particle by observing the radius of a circular trajectory in a known magnetic field.

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(c) Write the force exerted on the package by the cable as a vector.

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