What force is required to give an object with mass 2000 kg an acceleration of 3.5 m/s²?
A. 10,500 N
B. 571 N
C. 7000 N
D. 2535 N
Answer (1)
Identify the given values: mass m = 2000 kg and acceleration a = 3.5 m/s².
Apply Newton's second law of motion: F = ma .
Substitute the values into the formula: F = 2000 kg × 3.5 m/s 2 .
Calculate the force: F = 7000 N .
Explanation
Understanding the Problem We are given the mass of an object, m = 2000 kg, and its acceleration, a = 3.5 m/s². We need to find the force F required to produce this acceleration.
Applying Newton's Second Law Newton's second law of motion states that the force F acting on an object is equal to the mass m of the object multiplied by its acceleration a . This is expressed as F = ma .
Calculating the Force Now, we substitute the given values into the formula: F = ( 2000 kg ) × ( 3.5 m/s 2 ) F = 7000 N Therefore, the force required is 7000 N.
Final Answer The force required to give an object with a mass of 2000 kg an acceleration of 3.5 m/s² is 7000 N. Therefore, the correct answer is C.
Examples
Newton's second law is fundamental in physics and engineering. For example, when designing a car, engineers use this law to calculate the engine's required force to achieve a desired acceleration. If a car has a mass of 1500 kg and the engineers want it to accelerate at 2 m/s², they need to calculate the force using F = ma . Thus, F = 1500 kg × 2 m/s 2 = 3000 N . This helps them choose an engine that can provide at least 3000 N of force.
