A 10 kg box is at rest on a frictionless surface. A force of 30 N is applied. Wh

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Question: A 10 kg box is at rest on a frictionless surface. A force of 30 N is applied. What is the final velocity after 3 seconds? (2023)

Options:

Correct Answer: 10 m/s

Exam Year: 2023

Solution:

Acceleration = F/m = 30 N / 10 kg = 3 m/s². Final velocity = initial velocity + (acceleration × time) = 0 + (3 m/s² × 3 s) = 9 m/s.

A 10 kg box is at rest on a frictionless surface. A force of 30 N is applied. What is the final velocity after 3 seconds? (2023)

A 10 kg box is at rest on a frictionless surface. A force of 30 N is applied. What is the final velocity after 3 seconds? (2023)

Step 1: Identify the mass of the box, which is 10 kg.
Step 2: Identify the force applied to the box, which is 30 N.
Step 3: Use the formula for acceleration, which is acceleration = force / mass.
Step 4: Calculate the acceleration: 30 N / 10 kg = 3 m/s².
Step 5: Identify the initial velocity of the box, which is 0 m/s (since it is at rest).
Step 6: Use the formula for final velocity: final velocity = initial velocity + (acceleration × time).
Step 7: Substitute the values into the formula: final velocity = 0 + (3 m/s² × 3 s).
Step 8: Calculate the final velocity: 0 + 9 m/s = 9 m/s.

Newton's Second Law of Motion – This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Kinematics – This involves the equations of motion that relate displacement, velocity, acceleration, and time.