Q. 53 30 g ball rolls around a 40-cm-d... [FREE SOLUTION]

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Chapter 8: Q. 53 (page 201)

30 g ball rolls around a 40-cm-diameter L-shaped track, shown in FIGURE P8.53, at 60 rpm. What is the magnitude of the net force that the track exerts on the ball? Rolling friction can be neglected.
Hint: The track exerts more than one force on the ball

Short Answer

Expert verified

The the net force that the track exerts on the ball F_Net=0.38 N

Step by step solution

Step1: Given Information

Mass of ball = 30 g =0.030 kg
Diameter of track =40 cm =0.40m

So radius =0.2 m
Angular velocity of ball =60 rpm

Explanation

First calculate Centripetal force using mv²/r

where m= mass, v= velocity and r = radius.

We know that Gravitational force =mg

Gravitational force acting downward and and centripetal force towards center of track.

So, net force is their resultant of these two force.

Gravitational force:

$F_{g} = m g = (0.03 k g) 脳 (9.81 m / s^{2}) = 0.2943 N$

Centripetal force :

$F_{c} = \frac{m v^{2}}{r} = \frac{(0.03 k g) 脳 {(1.256 m / s)}^{2}}{0.2 m} = 0.2366 N$

Now calculate resultant force F_net

_{$F_{n e t} = \sqrt{(F_{c}^{2} + F_{g}^{2})} = \sqrt{{(0.2943 N)}^{2} + {(0.2366 N)}^{2}} = 0.38 N$}

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Speed m/sec	Scale Reading N
5	599
10	625
15	674
20	756
25	834

91影视

30 g ball rolls around a 40-cm-diameter L-shaped track, shown in FIGURE P8.53, at 60 rpm. What is the magnitude of the net force that the track exerts on the ball? Rolling friction can be neglected.
Hint: The track exerts more than one force on the ball

Short Answer

Step by step solution

Step1: Given Information

Explanation

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91影视

30 g ball rolls around a 40-cm-diameter L-shaped track, shown in FIGURE P8.53, at 60 rpm. What is the magnitude of the net force that the track exerts on the ball? Rolling friction can be neglected.Hint: The track exerts more than one force on the ball

Short Answer

Step by step solution

Step1: Given Information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fluids

Particle Model of Matter

Physics of Motion

Atoms and Radioactivity

Engineering Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

30 g ball rolls around a 40-cm-diameter L-shaped track, shown in FIGURE P8.53, at 60 rpm. What is the magnitude of the net force that the track exerts on the ball? Rolling friction can be neglected.
Hint: The track exerts more than one force on the ball