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Chapter 2: Q. 51 (page 62)

You are playing miniature golf at the golf course shown in

FIGURE P2.51. Due to the fake plastic grass, the ball decelerates at 1.0 m/s2 when rolling horizontally and at 6.0 m/s2 on the slope. What is the slowest speed with which the ball can leave your golf club if you wish to make a hole in one?

Short Answer

Expert verified

The slowest speed with which the ball can leave the golf club is5.7m/s.

Step by step solution

01

Given information

The magnitude of acceleration of the ball while rolling horizontally is, a1=1m/s2.

The magnitude of acceleration of the the ball on the slope is, role="math" localid="1648232368161" a2=6m/s2.

Total horizontal distance travelled by the ball is, s1=1+3m=4m.

The distance travelled by the ball on the slope is equal to,s2=2m.

02

Calculation of the speed

The final speed of the ball after being at rest is 0.

Therefore, if uis the slowest initial speed with which the golf ball can leave then we can write,

0=u2-2a1s1-2a2s2u2=2a1s1+a2s2u2=21脳4+2脳6u2=32u=32u=5.7m/s

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