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A 562 N trunk is on frictionless plane inclined at 30.0 degrees from the horizontal. What is the acceleration of the trunk down the ramp?

1 Answer

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Answer:

4.90m/s²

Step-by-step explanation:

According newton's second law of motion

Summation of forces along the plane Fm = mass × acceleration

The force acting down the plane is the moving force Fm

Fm = Wsin(theta)

W is the weight of the object

Substituting in the formula of newton's second law we have;

Fm = ma...... *

Fm = Wsin theta

Fm = 562sin30°

Fm = 562(0.5)

Fm = 281N

Get the mass

W = mg

m = W/g

m = 562/9.8

m = 57.3kg

From equation *

Fm = ma

a = Fm/m

a = 281/57.3

a = 4.90m/s²

Hence the acceleration of the trunk is 4.90m/s²

User Brunocodutra
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