Question

A cart accelerates at 2.01m/s² while under a force of 4.90N. What is the mass of the cart?

A) 2.45 kg
B) 2.20 kg
C) 2.90 kg
D) 2.01 kg

Answer 1

The mass of the cart can be determined by rearranging Newton's second law of motion formula to m = F/a. With a force of 4.90N and an acceleration of 2.01m/s², the mass is approximately 2.44 kg which rounds to 2.45 kg, matching option A).

Step-by-step explanation:

The mass of the cart can be found using Newton's second law of motion, which is represented by the formula F = ma, where F is the force applied to the object, m is the mass of the object, and a is the acceleration of the object. By rearranging this formula to solve for mass (m), the equation becomes m = F/a.

Given the force (F) is 4.90N and the acceleration (a) is 2.01m/s², you can calculate the mass (m) as follows:

m = F/a = 4.90N / 2.01m/s² = 2.44 kg (approximately).

So, the approximate mass of the cart is 2.44 kg, which, when rounded to two significant figures, gives us 2.45 kg, corresponding to option A).