In each of the following cases identify all objects in the surroundings that exert forces on the system, and draw a free-body diagram for the system. Assume that air resistance is negligible. (a) You hit a baseball with a bat. Choose the baseball as the system, and consider the instant of contact with the bat. (b) You are playing with a yo-yo. Choose the yo-yo as the system. As the yo-yo moves downward, you pull up on the string.

Short Answer

Expert verified

(a) The free body diagram of the baseball as a system has been drawn below.

(b) The free body diagram of the yo-yo as a system has been drawn below

Step by step solution

01

Identification of the given data .

The given data is listed below,

The air resistance is negligible.

02

Significance of Newton’s first law for the objects

This law states that a body will continue to move in a straight line in a uniform motion if no external force acts on that body.

Newton’s first law helps in identifying the forces in the free body diagram of the baseball-bat system and the yo-yo system.

03

Determination of the free body diagram when baseball is considered a system

(a)The forces that will act on the baseball if it is considered as the system are force due to the hitting of the bat and the force due to gravity.

The free-body diagram of the baseball and the bat is drawn below

Here, Fbatis the force exerted by the bat on the baseball and Fgis the force due to the gravity

04

(b) Determination of the free body diagram when the yo-yo is considered a system

The forces that will act on the baseball if it is considered as the system are force applied for pulling the yo-yo and the force due to gravity.

The free-body diagram of the yo-yo as a system has been drawn below-

Here, Fsis the force needed to pull up the yo-yo andFg is force acting downwards due to the acceleration due to gravity.

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 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

The orbit of the Earth around the Sun is approximately circular, and takes one year to complete. The Earth's mass is 6×1024kg, and the distance from the Earth to the Sun is 1.5×1011m. What is (dp\/dt)pof the Earth? What is p(dp/dt)of the Earth? What is the magnitude of the gravitational force the Sun (mass 2×1030kg) exerts on the Earth? What is the direction of this force?

A comet orbits a star in an elliptical orbit, as shown in Figure 5.41. The momentum of the comet at locationis shown in the diagram. At the instant the comet passes each location labeled A, B, C, D, E, and F, answer the following questions about the net force on the comet and the rate of change of the momentum of the comet:

(a) Draw an arrow representing the direction and relative magnitude of the gravitational force on the comet by the star.

(b) IsFnetzero to nonzero?

(c) IsFnetzero or nonzero?

(d) Isd|p|/dspositive, negative, or zero?

(e) Isdp¯/drzero or nonzero?

You're driving a vehicle of mass 1350kgand you need to make a turn on a flat road. The radius of curvature of the turn is. The coefficient of static friction and the coefficient of kinetic friction are both 0.25.

(a) What is the fastest speed you can drive and still make it around the turn? Invent symbols for the various quantities and solve algebraically before plugging in numbers.

(b) Which of the following statements are true about this situation?

(1) The net force is nonzero and points away from the centre of the kissing circle. (2) The rate of change of the momentum is nonzero and points away from the centre of the kissing circle.

(3) The rate of change of the momentum is nonzero and points toward the centre of the kissing circle.

(4) The momentum points toward the centre of the kissing circle.

(5) The centrifugal force balances the force of the road, so the net force is zero. (6) The net force is nonzero and points two and the centre of the kissing circle.

(c) Look at your algebraic analysis and answer the following question. Suppose that your vehicle had a mass five times as big(6750kg). Now what is the fastest speed you can drive and still make it around the turn?

(d) Look at your algebraic analysis and answer the following question. Suppose that you have the originalvehicle but the turn has a radius twice as large (152 m). What is the fastest speed you can drive and still make it around the turn? This problem shows why high-speed curves on freeways have very large radii of curvature, but low-speed entrance and exit ramps can have smaller radii of curvature.

In the dark in outer space, you observe a glowing ball of known mass 2kgmoving in the xyplane at constant speed in a circle of radius, 6.5 m with the centre of the circle at the origin(0,0,0m). You can't see what's making it move in a circle. At time t=0 the ball is at location(-6,5,0,0)mand has velocity(0,40,0)m/s.

On your own paper draw a diagram of the situation showing. the circle and showing the position and velocity of the ball at time r=0. The diagram will help you analyse the situation. Use letters a-j figure 5.75) to answer questions about directions ( +xto the right, +yup).

At time:t=0

(a) What is the direction of the vectorp?

(b) What are the magnitude and direction localid="1656743973413" (d|p|dt)ρofthe parallel component ofdp/dt?

(c) What are the magnitude and direction oflocalid="1656744314609" |p|dp/dt, the perpendicular component ofdp/dt?

(d) Even though you can't see what's causing the motion, what can you conclude must be the direction of the vectorFnet?

(e) Even though you can't see what's causing the motion, what can you conclude must be the vectorFnet?

(f) You learn that at time, two forces act on the ball, and that at this instant one of these forces isF1={196,-369,0}N. What is the other force?

Tarzan swings from a vine. When he is at the bottom of his swing, as shown in Figure 5.63, which is larger in magnitude: the force by the Earth on Tarzan, the force by the vine (a tension force) on Tarzan, or neither (same magnitude)? Explain how you know this.

See all solutions

Recommended explanations on Physics Textbooks

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