Physics
Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 3, Problem 64P

(a)

To determine

At what horizontal distance from seed pod does the seed hit the ground?

(a)

Expert Solution
Check Mark

Answer to Problem 64P

The horizontal distance from seed pod does the seed hit the ground is 0.57m.

Explanation of Solution

Write the equation to find the displacement of the seed.

Δy=viyΔt+12ay(Δt)2                                                                                     (I)

Here, Δy is the displacement, viy is the initial velocity, Δt is the change in time, ay is the acceleration

Rewrite equation (I) to find Δt

Δt=(Δyay) (II)

Write the equation to find the horizontal displacement.

Δx=vxΔt (III)

Here, Δx is the horizontal displacement, vx is the velocity, Δt is the change in time

Conclusion

Substitute 1.1m for Δy , 0m/s for viy , 9.8m/s2 for ay in equation (I)

1.1m=0+0.5(9.8m/s2)(Δt)2

Solve above equation to get Δt

Δt=2.2ms29.8m/s2=0.474s

Substitute 0.474s for Δt and 1.2m/s for vx in equation (III) to get Δx

Δx=(1.2m/s)(0.474s)=0.57m

Therefore, The horizontal distance from seed pod does the seed hit the ground is 0.57m.

(b)

To determine

At what horizontal distance from seed pod does the seed hit the ground if the seed is launched at 17° from horizontal?

(b)

Expert Solution
Check Mark

Answer to Problem 64P

The horizontal distance from seed pod does the seed hit the ground is 0.59m.

Explanation of Solution

Write the equation to find the final velocity of seed.

vfy=vyi2+2ayΔt (IV)

Here, vfy is the final velocity, viy is the initial velocity, ay is the acceleration, Δt is the time

Write the equation to find the difference in final and initial velocities.

vyfviy=ayΔt (V)

Here, vfy is the final velocity, viy is the initial velocity, ay is the acceleration, Δt is the time

Rewrite equation (II) to get Δt

Δt=vyfvisinθig (VI)

Write the equation to find the horizontal displacement.

Δx=vxΔt (III)

Here, Δx is the horizontal displacement, vx is the velocity, Δt is the change in time

Conclusion:

Substitute 1.2m/s for viy , 17° for θ , 9.8m/s2 for g , 1.1m for Δy in equation (I) to get vfy

vfy=(1.2m/s)2sin2(17°)+2(9.8m/s2)(1.1m)=4.68m/s

Substitute 4.68m/s for vfy , 1.2m/s for vi , 17° for θ, 9.8m/s2 for g in equation (III) to get vfy

Δt=4.68m/s-(1.2m/s)sin17°9.8m/s2=0.439s

Substitute 1.2m/s for vx and 0.513s in equation (IV) to get Δx

Δx=(1.2m/s)cos17°(0.513s)=0.59m

Therefore, The horizontal distance from seed pod does the seed hit the ground is 0.59m.

(c)

To determine

Whether the air resistance is negligible if the horizontal distance measured is 0.44m ?

(c)

Expert Solution
Check Mark

Answer to Problem 64P

The air resistance is not negligible.

Explanation of Solution

The measured distance of 0.44m is less than the 0.59m. That is the range or horizontal distance travelled by seed pod is reduced. Hence there is a resistive force present. Therefore, air resistance is not negligible.

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