/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q41E A Simple Reaction-Time Test.聽A ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q41E (page 61)

A Simple Reaction-Time Test.A meter stick is held vertically above your hand, with the lower end between your thumb and first finger. When you see the meter stick released, you grab it with those two fingers. You can calculate your reaction time from the distance the meter stick falls, read directly from the point where your fingers grabbed it. (a) Derive a relationship for your reaction time in terms of this measured distance, d. (b) If the measured distance is 17.6 cm, what is your reaction time?

Short Answer

Expert verified

(a) Relationship between rection time and measured distance ist=2dg.

(b) Your reaction time is t=0.189s

Step by step solution

01

Given data

Considered a meter stick it stands up, and its initial vertically velocity vy=0m/s

Its acceleration is equal to the acceleration due to gravity (g).

Measured distance is 17.6cm1m100cm=0.176m

02

(a) Derive the relationship

For upward motion is considered negative and for downward motion,it is considered positive.

According to Newton鈥檚 second law of motion, the distance can be expressed as,

d=vyt+12gt2鈰�1

Substituting the given values we get,

t=2dg鈰�2

Step 2: (b) The reaction time

Since the measured distance is d=0.176m, then time can be calculated using the equation (2),

t=2脳0.176m9.8m/s2=0.189s

Thus, your reaction time is t=0.189s

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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 Honda Civic travels in a straight line along a road. The car鈥檚 distance x from a stop sign is given as a function of time t by the equationxt=伪t2-尾t3 where role="math" localid="1655226337795" 伪=1.50鈥�m/s2androle="math" localid="1655226362269" 尾=0.0500m/s2 . Calculate the average velocity of the car for each time interval: (a) t = 0 to t = 2.00 s; (b) t = 0 to t = 4.00 s; (c) t = 2.00 s to t = 4.00 s.

A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof 1.00slater. Ignore air resistance. (a) If the height of the building is20.0m, what must the initial speed of the first ball be if both are to hit the ground at the same time? On the same graph, sketch the positions of both balls as a function of time, measured from when the first ball is thrown. Consider the same situation, but now let the initial speedv0of the first ball be given and treat the heightof the building as an unknown. (b) What must the height of the building be for both balls to reach the ground at the same time if (i)localid="1655791911691" v0is9.5m/s? (c) Ifv0is greater than some valuevmax, no value ofexists that allows both balls to hit the ground at the same time. Solve forvmax. The valuevmaxhas a simple physical interpretation. What is it? (d) Ifv0is less than some valuevmin, no value ofexists that allows both balls to hit the ground at the same time. Solve forvmin. The valuevminalso has a simple physical interpretation. What is it?

Given two vectors A鈫�=4.00i^+7.00j^ and B鈫�=5.00i^鈭�7.00j^, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A鈫�鈭�B鈫�; and (c) find the magnitude and direction of the vector difference A鈫�鈭�B鈫�. (d) In a vector diagram showA鈫�,B鈫� and A鈫�鈭�B鈫�, and show that your diagram agrees qualitatively with your answer to part (c).

A swimming pool is 5.0 m long, 4.0 m wide, and 3.0 m deep. Compute the force exerted by the water against (a) the bottom and (b) either end. (Hint: Calculate the force on a thin, horizontal strip at a depth h, and integrate this over the end of the pool.) Do not include the force due to air pressure.

Mass Mis distributed uniformly over a disk of radius a. Find the

gravitational force (magnitude and direction) between this disk-shaped mass

and a particle with mass mlocated a distance xabove the centre of the disk

(Fig. P13.81). Does your result reduce to the correct expression as xbecomes

very large? (Hint:Divide the disk into infinitesimally thin concentric rings, use

the expression derived in Exercise 13.35 for the gravitational force due to each

ring, and integrate to find the total force.)
See all solutions

Recommended explanations on Physics Textbooks

Atoms and Radioactivity

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Energy Physics

Read Explanation

Medical Physics

Read Explanation

Fields in Physics

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.