Math

QuestionFind the normal force on a 5.5 kg5.5 \mathrm{~kg} block. Use g=9.8 m/s2g = 9.8 \mathrm{~m/s}^2. Formula: W=mgW = mg.

Studdy Solution

STEP 1

Assumptions1. The mass of the block is5.5 kg. The acceleration due to gravity is9.8 m/s²3. The block is at rest or moving with a constant velocity4. The block is on a flat surface, so the angle between the normal force and the weight is90 degrees5. There are no other forces acting on the block

STEP 2

The normal force is the force exerted by a surface that supports the weight of an object resting on it. It acts perpendicular to the surface. The formula for the normal force () when the object is on a flat surface and there are no other vertical forces is=mg = mgwherem is the mass of the object, g is the acceleration due to gravity.

STEP 3

Now, plug in the given values for the mass and acceleration due to gravity to calculate the normal force.
=5.5kg×9.8m/s² =5.5 \, kg \times9.8 \, m/s²

STEP 4

Calculate the normal force.
=.kg×9.8m/s²=53.9N =. \, kg \times9.8 \, m/s² =53.9 \, NThe normal force of the block is53.9 N.

STEP 5

Newton's First Law, also known as the Law of Inertia, states that an object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. In other words, an object will keep doing what it was doing unless a force causes it to do something different. This is the principle of inertia.

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