Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
f. three times as much
Using the formula for kinetic energy:
KE = 1/2(mv^2)
Object 1: rest to 15 m/s
KE = 1/2(15^2)
KE = 112.5 J
Object 2: 15 m/s to 30 m/s
KE = 1/2(30^2)
KE = 450 J
450 J - 112.5 J = 337.5 J
337.5J/112.5 J = 3
Therefore the amount of energy required to accelerated the same car from 15 m/s to 30 m/s is 3 times as much as that required to accelerate the car from rest to 15 m/s.
d. four times as much, the amount of energy required to accelerate the car from 15 m/s to 30 m/s is four times as much as the amount of energy required to accelerate the same car from rest to 15 m/s
Let's evaluate the comparison of the energy required to accelerate the car from rest to 15 m/s to the energy required to accelerate it from 15 m/s to 30 m/s.
The kinetic energy [tex](\(KE\))[/tex] of an object is given by:
[tex]\[ KE = \frac{1}{2} m v^2 \][/tex]
where [tex]\(m\)[/tex] is the mass of the object and [tex]\(v\)[/tex] is its velocity.
For the first scenario (from rest to 15 m/s), the kinetic energy [tex](\(KE_1\))[/tex] is:
[tex]\[ KE_1 = \frac{1}{2} m (15)^2 \][/tex]
For the second scenario (from 15 m/s to 30 m/s), the kinetic energy [tex](\(KE_2\))[/tex] is:
[tex]\[ KE_2 = \frac{1}{2} m (30)^2 \][/tex]
Now, let's compare [tex]\(KE_2\) to \(KE_1\):[/tex]
[tex]\[ \frac{KE_2}{KE_1} = \frac{\frac{1}{2} m (30)^2}{\frac{1}{2} m (15)^2} \][/tex]
[tex]\[ \frac{KE_2}{KE_1} = \frac{900}{225} \][/tex]
[tex]\[ \frac{KE_2}{KE_1} = 4[/tex].
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
