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The only force acting on a 5kg object has components Fx = 15N and Fy = 20N. the resultant acceleration is:

Question

The only force acting on a 5kg object has components Fx = 15N and Fy = 20N. the resultant acceleration is:

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Solution 1

To find the resultant acceleration, we first need to find the resultant force.

Step 1: Find the resultant force The resultant force (F) can be found using Pythagoras' theorem since the components are at right angles to each other.

F = sqrt(Fx^2 + Fy^2) F = sqrt((15N)^2 + (20N)^2) F = sqrt(225 + 400) F = sqrt(625) F = 25N

Step 2: Find the acceleration Next, we use Newton's second law (F = ma) to find the acceleration (a).

a = F/m a = 25N / 5kg a = 5 m/s^2

So, the resultant acceleration of the object is 5 m/s^2.

This problem has been solved

Solution 2

First, we need to find the resultant force. The resultant force (F) can be found using the Pythagorean theorem since the two components of the force form a right triangle.

F = sqrt(Fx^2 + Fy^2) F = sqrt((15N)^2 + (20N)^2) F = sqrt(225N^2 + 400N^2) F = sqrt(625N^2) F = 25N

Next, we use Newton's second law of motion, F = ma, where F is the force, m is the mass, and a is the acceleration. We can rearrange the equation to solve for acceleration (a).

a = F/m a = 25N / 5kg a = 5 m/s^2

So, the resultant acceleration of the object is 5 m/s^2.

This problem has been solved

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