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Chapter 5: Q 79 P (page 122)

A certain particle has a weight of $22 N$ at a point where. localid="1656143387519" $g = 9.8 m / s^{2}$ What are its:(a) weight and (b) mass at a point where ^{localid="1656143411696" $g = 4.9 m / s^{2}$}? What are its (c) weight and(d) mass if it is moved to a point in space where $g = 0$ ?

Short Answer

Expert verified

$W h e n, g = 4.9 m / s^{2} w e i g h t i s 11 N$

$w h e n, g = 4.9 m / s^{2} m a s s i s 2.2 k g$

$w h e n, g = 0, w e i g h t i s 0 N W h e n, g = 0, m a s s i s 2.2 k g$

Step by step solution

01

Given information

It is given that,

$W = 22 N$

02

Determining the concept

This problem can be solved using the concept of weight and mass.

According to the concept of weight and mass,

$W = m 脳 a W h e r e a i s t h e a c c e l e r a t i o n d u e t o g r a v i t y$

03

(a) Determining the weight when g=4.9 m/s2

As

$W = 22 N$

m a s s (m) = \frac{22}{9.8} = 2.2 kg W h e n, g = 4.9 m / s^{2} W = 2.2 脳 4.9 = 11 N

Hence, the weight when $g = 4.9 m / s^{2} i s 11 N$

04

(b) Determining the mass when g=4.9 m/s2

As mass is a fundamental quantity, it will be the same anywhere,

$m = 2.2 k g$

Hence, the mass when $g = 4.9 m / s^{2} i s 2.2 k g$

05

(c) Determining the weight when g=0 m/s2

when

g = 0 m / s^{2} W = 2.2 脳 0 = 0 N H e n c e, t h e w e i g h t w h e n g = m / s^{2} i s 0 N

06

(d) Determining the mass when g=0 m/s2

Mass of the body is the same irrespective of the gravitational acceleration. So, it would have the same mass as before.

m = 2.2 k g H e n c e, t h e m a s s w h e n g = 0 m / s^{2} i s 2.2 k g

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Most popular questions from this chapter

A constant horizontal force ${\overset{鈫�}{F}}_{a}$ pushes a $2.00 kg$ FedEx package across a frictionless floor on which an xycoordinate system has been drawn. The figure gives the package鈥檚 xand yvelocity components versus time t. (a) What is the magnitude and (b) What is the direction of localid="1657016170500" $\overset{鈬赌}{F_{a}}$ ?

Three astronauts, propelledby jet backpacks, push and guide a 120 kg asteroid toward a processing dock, exerting the forces shown inFig. 5-29, with $F_{1} = 32 N, F_{2} = 55 N, F_{3} = 41 N, 胃_{1} = 30 掳,$ and .What is the asteroid鈥檚 acceleration(a) in unit-vector notation and as (b) a magnitude and (c) a direction relative to the positive direction of the x axis?

Figure 5.33 shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 98 N on the wall to which it is attached. The tensions in the three shorter cords are $T_{1}$ $= 58.8 N, T_{2} = 49.0 N$ and $T_{3} = 9.8 N$ . (a) What is the mass of disk A (b) What is the mass of disk B, (c) What is the mass of disk C, and (d) What is the mass of disk D?

In Fig. 5-64, a forceof magnitude $12 N$ is applied to a FedEx box of mass $m_{2} = 1.0 k g$ . The force is directed up a plane tilted by $胃 = 37 掳$ . The box is connected by a cord to a UPS box of mass $m_{1} = 3.0 k g$ on the floor. The floor, plane, and pulley are friction less, and the masses of the pulley and cord are negligible. What is the tension in the cord?

In Fig. 5-64, a forceof magnitudeis applied to a FedEx box of mass $m_{2} = 1.0 kg$ . The force is directed up a plane tilted by $胃 = 37^{o}$ .The box is connected by a cord to a UPS box of mass $m_{1} = 3.0 kg$ on the floor. The floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible. What is the tension in the cord?

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