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Chapter 2: Q. 28 (page 60)

Santa loses his footing and slides down a frictionless, snowy roof that is tilted at an angle of 30掳. If Santa slides 10 m before reaching the edge, what is his speed as he leaves the roof?

Short Answer

Expert verified

The velocity of Santa before he leaves the roof is 10 m/sec

Step by step solution

01

Step 1. Write the given information.

The Distance Santa slides before reaching edge is 10m

The angle of inclination is given as 30o
Let the initial velocity of Santa is u. The time taken by Santa to reach the edge is t. The acceleration due to gravity is g=10m/s2
The acceleration experienced by Santa is
a=gsin(30掳)a=10(0.5)a=5m/s2

02

Step 2. To determine the velocity of Santa before he reaches edge

Let the velocity of Santa isv

The distance traveled isS
Using the equation of motion,

S=ut+12at2
Insert the known values in the above expression
10=0t+12(5)t210=2.5t2t2=102.5=4t=2sec
Thus, the time taken by Santa to reach the edge is 2 sec.


Now, write the expression to determine the velocity of Santa
v=0+5(2)v=10m/sec

Therefore, the velocity of Santa is 10 m/sec

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