Question

A constant force of 10.26 N acts on a 4.98 kg object for 28.9 s. By how much did the velocity change?

A) 0.98 m/s
B) 1.41 m/s
C) 3.27 m/s
D) 6.03 m/s

Answer 1

The change in velocity when a constant force is applied can be calculated using Newton's second law of motion. However, the calculated change in velocity for the given problem (59.54 m/s) does not match any of the provided answer choices, suggesting an error in the question or options.

Step-by-step explanation:

The question given involves calculating the change in velocity of an object when a constant force is applied over a period of time. This is a classic physics problem that uses Newton's second law of motion (F = ma), where F is the force applied, m is the mass of the object, and a is the acceleration produced.

To find the change in velocity (Δv), we first need to find the acceleration using the formula a = F/m. Once we have the acceleration, we can use the formula Δv = a*t, where t is the time for which the force is applied.

Applying the given values: a = 10.26 N / 4.98 kg = 2.06 m/s², and Δv = 2.06 m/s² * 28.9 s = 59.54 m/s, which doesn't match any of the stated options. It appears there might have been an error in the values given in the question or the provided options.