Question

An object with a mass of 30 kg is pulled across a rough surface with a force of 12 N at an angle of 40 degrees above the horizontal. It moves with a constant velocity. Solve for the normal force.

A) 30 N

B) 24 N

C) 18 N

D) 12 N

E) 0 N

Answer 1

To find the normal force on the object, we can use the formula normal force = mass × acceleration due to gravity. Given that the mass is 30 kg, and acceleration due to gravity is approximately 9.8 m/s², we can calculate the normal force to be 294 N.

Step-by-step explanation:

To solve for the normal force, we need to consider the forces acting on the object. In this case, the object is pulled with a force of 12 N at an angle of 40 degrees above the horizontal. Since it is moving with a constant velocity, we know that the forces in the horizontal direction are balanced.

The normal force is equal to the gravitational force acting on the object, which is given by the formula: normal force = mass × acceleration due to gravity. The mass of the object is 30 kg. The acceleration due to gravity is approximately 9.8 m/s². Therefore, the normal force is equal to 30 kg × 9.8 m/s² = 294 N.

So, the correct answer is A) 30 N.