Recall that the force on an object is related to the mass and acceleration of that object by the formula F = ma, where m is the mass of the object and a is its acceleration. What happens when we double F? Well, you might remember from algebra that, in order to keep our equality true, if we double one side, we must also double the other, so our equation becomes 2F = 2ma. Now, this means one of two things: either the mass has doubled, or the acceleration has doubled.
We can tell right away that it'd be absurd if a race car doubled in mass every time it hit the gas, so the quantity doubling must be the <em>acceleration. </em>If we call the car's current velocity v1, we'll be adding the doubled acceleration to get its new velocity. Mathematically, v = v1 + 2a.
We can now conclude that, by doubling the force:
- The acceleration of the car will double,
- The mass of the car will stay the same, and
- The velocity of the car will increase by double the original acceleration
False. Mass doesn't depend on location or gravity. It doesn't change.
This is a 2-part motion.
Part 1 of the motion:
Applying equations of motion;
u = 14.4 m/s, s = 78.8 m, t = 9.92 s
s = ut+1/2at^2
78.8 = 14.4*9.92 + 1/2*a*9.92^2
78.8 = 142.848 + 49.2032a
a = (78.8-142.848)/49.2032 = -1.3 m/s^2 (negative sign indicates a deceleration).
Now,
v = u+at
v = 14.4 -1.3*9.92 = 1.49 m/s
Part 2 of the motion:
Final speed in first motion becomes initial velocity in this second motion.
u = 1.49 m/s, a = 1.83 m/s^2, t = 4.50 s
Now,
v = u + at
Then,
v = 1.49 + 1.83*4.50 = 9.72 m/s
The final speed is 9.72 m/s
Circumference of a circle can be calculated if the radius or the diameter is given.
<u>Explanation</u>:
- Circumference or the perimeter of a circle can be calculated if the radius or the diameter of the circle is given.
- This is calculated by the formula - 2 * pi * r (if radius is given) and pi * d (if diameter is given) where pi = 3.14, r = radius and d = diameter
- This calculation is based on the fact that the circumference is three and a little more times that of the radius. Since the diameter is double that of the radius, when the diameter is given formula becomes pi*d.
Changes to friction and heat energy as well as sound as kinetic energy decreases and it slows down
