Examkin

Question

Difficulty: EasyMechanics and Motion

A remote-controlled toy boat with a mass of 2 kg2\text{ kg} accelerates across a calm pond at a rate of 3 m/s23\text{ m/s}^2. What is the net horizontal force acting on the boat?

  1. A
    6 kg6\text{ kg}
  2. 6 N6\text{ N}Answer
  3. C
    1.5 N1.5\text{ N}
  4. D
    6 m/s6\text{ m/s}

Answer

The net horizontal force acting on the boat is 6 N6\text{ N}.
Newton's second law of motion states that net force equals mass multiplied by acceleration (F=maF = ma). Multiplying the mass of 2 kg2\text{ kg} by the acceleration of 3 m/s23\text{ m/s}^2 yields a net force of 6 N6\text{ N}.

Step-by-Step Solution

1
Identify the given values from the problem statement.
Mass m=2 kgm = 2\text{ kg} and acceleration a=3 m/s2a = 3\text{ m/s}^2.
Determining the known variables allows the direct application of Newton's second law of motion.
2
Apply the formula for Newton's second law of motion (F=maF = ma).
F=2 kg×3 m/s2=6 NF = 2\text{ kg} \times 3\text{ m/s}^2 = 6\text{ N}.
Multiplying mass in kilograms by acceleration in meters per second squared yields force in newtons (1 N=1 kg⋅m/s21\text{ N} = 1\text{ kg}\cdot\text{m/s}^2).

Key Concept

Newton's Second Law of Motion (F=maF = ma)
Estimated Time:45s
Rate this question

Topics

Mechanics and Motion

More questions from this topic