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Q.8

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 154

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Short Answer

The forces in FIGURE EX act on a object. What are the values of and , the x- and y-components of the object’s acceleration?

(a) Acceleration of the object in x-direction = .

(b) Acceleration of the object in y-direction = .

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Step by Step Solution

Step 1 : Acceleration : 

Acceleration is determined by the rate at which the velocity of an object changes over time.

Step 2 : (a) Explanation : 

Object's mass = .

In the horizontal direction, Newton's second law applies,

= object's mass,

= object's acceleration in x-direction,

In the x-direction, resolving the components of forces,

Substitute for to find .

The x-component of acceleration acts in the negative x-direction, as shown by the negative sign.

Hence, acceleration of the object in x-direction = .

Step 3 : (b) Explanation : 

Object's mass = .

In the vertical direction, Newton's second law applies,

= object's mass,

= object's acceleration in y-direction,

In the y-direction, resolving the components of forces,

Substitute for to find .

Hence, acceleration of the object in y-direction = .

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