Problem 4.57 The block shown in (Figure 1) has mass m = 7.0 kg and lies on a fix

Question

Problem 4.57

The block shown in (Figure 1) has mass m = 7.0 kg and lies on a fixed smooth frictionless plane tilted at an angle = 22.0 to the horizontal.

Part A

Determine the acceleration of the block as it slides down the plane.

Express your answer to three significant figures and include the appropriate units.

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Part B

If the block starts from rest 15.2 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?

Express your answer to three significant figures and include the appropriate units.

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Figure 1 of 1

Problem 4.57

The block shown in (Figure 1) has mass m = 7.0 kg and lies on a fixed smooth frictionless plane tilted at an angle = 22.0 to the horizontal.

Part A

Determine the acceleration of the block as it slides down the plane.

Express your answer to three significant figures and include the appropriate units.

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Part B

If the block starts from rest 15.2 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?

Express your answer to three significant figures and include the appropriate units.

a =

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v =

Figure 1 of 1

Explanation / Answer

A) Apply Newton's second law

along x direction, mg*sin(22)= ma; take g=9.8 ms-2

a= 3.67 ms-2

B) Height=15.2 m

travelled distance(s)= 15.2/sin(22)

Apply v2=u2+2as ; u=0

v=17.26 ms-1

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