4.) A 8.0 kilogram physics textbook experiences an applied force of 28.0 Newtons for 2.6 seconds. The resulting acceleration is 3.50 m/s2. Determine the change in the momentum of the book.
To determine the change in momentum of an object, you can use the formula:
Change in momentum = mass × acceleration × time
In this case, you are given the mass of the textbook, which is 8.0 kilograms, the applied force of 28.0 Newtons, the time of 2.6 seconds, and the resulting acceleration of 3.50 m/s^2.
First, let's calculate the change in momentum using the given values:
Change in momentum = 8.0 kg × 3.50 m/s^2 × 2.6 s
Multiply the mass, acceleration, and time together:
Change in momentum = (8.0 kg) × (3.50 m/s^2) × (2.6 s)
Now let's calculate the product of the numbers inside parentheses:
Change in momentum = 70.4 kg•m/s
So, the change in momentum of the textbook is 70.4 kg•m/s.