361: Futurama Balancing Act

;-)
It's Futurama ... make your own question but this just doesn't look right to me. Scale, mass, distance. What do you think?

351: Balance 6

Weights 1lb through 6lbs.
Where should we start?

343: Forces and Friction

Your teenage son has a fast car.

He knows that friction is determined by the weight of the car over the wheels, the "normal" force. He also knows that additional weight means that the car can't accelerate as fast, but he's also having problems with the rear tires spinning out.  He's convinced that having Fat Eddie sit in the back will help his quarter-mile time.

 Will the extra weight help him or hurt him?

222: Which would you rather push?

Would you rather ...

Which one is "easier"?

Would You Rather...? with a physics twist.
— John Stevens (@Jstevens009)

221: Two Skiers

Which skier would you rather be?

Thanks to @fnoschese for posting these.

220: Three Scales

There are three scales.
The one on the right (navy shirt) indicates a 10 N force to the right ... +10 N.
The one on the left (green shirt) indicates a 10 N force to the left ... -10 N.
What will the scale in the middle read?

Thanks to @fnoschese for posting this.

219: How far out can you go?

A series of identical blocks.

A series of identical rectangular blocks is stacked out at their balancing points from the top down. You can show with a simple center of mass calculation the total "stick-out" distance; that is, the horizontal distance from the back of the bottom block to the back of the top block is
d = ½(1 + ½ + ⅓ + ¼ + ...)

Thanks to @fnoschese for finding these.

190: Force Table

If the weights are all equal masses, is this in equilibrium?

If not, how would you change it?
Can this arrangement work with two equal masses?

149: Medieval Ballistics

Tartaglia

Using the angle between line of sight to the projectile and the horizontal, show why the trajectory was considered to be in this shape for many centuries. (Hint: consider that only those viewing from BEHIND could see the projectile. UPDATE: Yes, those in front could see something coming. "I couldn't figure out what it was coming closer and closer ... then it hit me.")

This may be more than you want ... if so, pay no attention to the following instructions.

In Geogebra, graph the parabolic arc. We'll assume for simplicity that the cannonball begins at (0,0) and hits at (1000,0) with max at (500,250). In the input box, place y=x(x-1000)/1000. Place A at (-10,0) and B, a point on the object f(x). Place c(500,0) so we have three points. Create line segments AB and AC. Measure CAB. Drag B along the curve, paying attention to the angle.  What do you see?
How does it change as you move B?

112: Calvin, Mind Blown

Can you help Calvin understand this?

Do you know what a record looks like?

53: Right six, CARE, tightens, gnarl. Jiggy Jiggy, Fifty, crest. Right three minus

Go full size:

The 7.6-mile-long Mt. Washington Road is lined with trees, drop-offs, and winds on the way to the 6,288-foot summit. Travis Pastrana in a 2011 Subaru Impreza WRX STI rally car, with an officially timed run of 6 minutes 20.47 seconds.

There are questions all over the place.

1. Average speed
2. Average slope of the road.
3. What do the calls mean?
4. Add more in the comments. 

This one includes rally notes system details. "Increases the radius, decreases the radius" "Can you take it wide open?" "If the notes are wrong, we go off a cliff."