Question

Two forces are applied to a 5.0-kg object, and it accelerates at a rate of 2.0m/s² in the positive y-direction. If one of the forces acts in the positive x-direction with magnitude 12.0 N, find the magnitude of the other force.

a) 6.0 N
b) 8.0 N
c) 10.0 N
d) 14.0 N

Answer 1

The magnitude of the other force acting on the object is 10.0 N, which is calculated using Newton's second law of motion by multiplying the mass of the object by its acceleration.

Step-by-step explanation:

To find the magnitude of the other force acting on a 5.0-kg object that accelerates at 2.0 m/s² in the positive y-direction, we can apply Newton's second law of motion (F=ma). Since one force acts in the positive x-direction with a magnitude of 12.0 N and has no impact on the acceleration in the y-direction, we can ignore it for our calculation and focus only on the forces in the y-direction.

Using Newton's second law for the y-direction:

• Fy = m × ay
• Fy = 5.0 kg × 2.0 m/s²
• Fy = 10 N

Therefore, the magnitude of the force acting in the positive y-direction is 10.0 N.