An object has a mass of 5 kg. What force is needed to accelerate it at [tex]$6 m / s ^2$[/tex]? (Formula: [tex]$F= ma$[/tex])
A. 0.83 N
B. 1.2 N
C. 11 N
D. 30 N
Answer (1)
We are given the mass m = 5 kg and acceleration a = 6 m / s 2 .
We use the formula F = ma to find the force.
Substituting the values, we get F = 5 × 6 = 30 N.
The force needed to accelerate the object is 30 N .
Explanation
Understanding the Problem We are given the mass of an object, m = 5 kg, and the acceleration at which it needs to be accelerated, a = 6 m / s 2 . We are also given the formula F = ma , which relates force, mass, and acceleration. Our goal is to find the force F needed to achieve this acceleration.
Applying the Formula We will use the formula F = ma to calculate the force. We substitute the given values into the formula: F = 5 kg × 6 m/s 2 .
Calculating the Force Now, we perform the multiplication: F = 5 × 6 = 30 . The unit of force is Newtons (N), so the force required is 30 N.
Final Answer Therefore, the force needed to accelerate the object at 6 m / s 2 is 30 N.
Examples
Imagine you're pushing a shopping cart. The heavier the cart (mass), and the faster you want it to speed up (acceleration), the more force you need to apply. This is exactly what F = ma tells us. For example, if you want to accelerate a 10 kg cart at 2 m / s 2 , you need to apply a force of F = 10 × 2 = 20 N. Understanding this relationship helps in many everyday tasks, from driving a car to playing sports.
