Log out Go to App
Go to App

Learning Materials

Features

Discover

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°. 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°)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

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A cheetah spots a Thomson’s gazelle, its preferred prey, and

leaps into action, quickly accelerating to its top speed of 30 m/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 s before having to let up. The cheetah is 170 m from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reaction time, the gazelle heads directly away from the cheetah, accelerating at 4.6m/s2for 5.0 s, then running at constant speed. Does the gazelle escape? If so, by what distance is the gazelle in front when the cheetah gives up?

FIGURE Q2.5 shows a position-versus-time graph for the motion of

objects A and B as they move along the same axis.

a. At the instant t = 1 s, is the speed of A greater than, less than,

or equal to the speed of B? Explain.

b. Do objects A and B ever have the same speed? If so, at what

time or times? Explain.

The position of a particle is given by the function x=2t3-6t2+12m, where t is in s. a. At what time does the particle reach its minimum velocity? What is Vxmin? b. At what time is the acceleration zero?

A ball is thrown straight up into the air. At each of the following

instants, is the magnitude of the ball’s acceleration greater than g,

equal to g, less than g, or 0? Explain.

a. Just after leaving your hand.

b. At the very top (maximum height).

c. Just before hitting the ground.

Particles A, B, and C move along the x-axis. Particle C has an initial velocity of 10 m/s. In FIGURE P2.37, the graph for A is a position-versus-time graph; the graph for B is a velocity-versus time graph; the graph for C is an acceleration-versus-time graph. Find each particle’s velocity at t = 7.0 s.
See all solutions

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Read Explanation

Modern Physics

Read Explanation

Space Physics

Read Explanation

Linear Momentum

Read Explanation

Engineering Physics

Read Explanation

Physical Quantities And Units

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free