Stacked Boxes and Friction
You stack two boxes (1m and 4m) and slide them down a frictionless 3m high ramp. Once on the horizontal grass where the coefficient of kinetic friction is 0.75, how far (in meters) will the boxes slide before stopping?
4.000e+0 m (4 meters)
Two boxes (1m and 4m) on frictionless carts moving toward each other at speed v collide and inelastically crush together. What is their speed after the collision in terms of v?
6.000e-1 v (0.6v)
A rollercoaster car full of people (554 kg) drops down a 26.4m hill perpendicular to the ground. What is the maximum velocity of the coaster at the bottom in m/s?
2.275e+1 m/s (22.75 m/s)
You and your bumper car (227 kg) take 2 seconds to accelerate from rest to a top speed of 8 m/s. How much force does the electric motor exert in Newtons?
9.080e+2 N (908 N)
A launcher consists of 8 springs (89 N/m each, configured in 4 parallel sets of 2 in series). How fast will a 1kg water balloon travel when leaving the launcher if stretched 22.25m?
A launcher consists of 8 springs (89 N/m each, configured in 4 parallel sets of 2 in series). How fast will a 1kg water balloon travel when leaving the launcher if stretched 22.25m?
You stack two boxes (1m and 4m) to slide them across the floor at constant velocity. Switching which box is on bottom, what is the ratio (smaller to larger) of the force between the boxes in these two configurations?
2.500e-1 (0.25)
You connect two boxes (1m and 4m) with a string over a pulley. If you let go, what will the magnitude of the acceleration of these boxes be as a factor of g?
6.000e-1 g (0.6g)
A coaster drops from a 26.4m hill into a circular vertical loop whose height is 28% of the initial hill height. What is the speed at the top of the loop in m/s?
1.930e+1 m/s (19.30 m/s)
Your car (227 kg) breaks down. You push it until static friction (0.84) breaks, then keep pushing with that force against kinetic friction (0.68). What is the acceleration of the car after it begins to move in m/s^2?
1.568e+0 m/s^2 (1.568 m/s^2)
In an elastic head-on bumper car collision, you (227 kg at +8 m/s) hit Kriday (200 kg at -7 m/s). What is the final velocity of Kriday after the collision in m/s?
8.948e+0 m/s (8.948 m/s)
You stack two boxes (1m and 4m) to slide across the floor at constant velocity. The coefficient of kinetic friction is 0.1. In the configuration where there is the LEAST force between the boxes, what is the ratio of the force between the boxes to the force you must apply?
2.000e+0 (2)
Two boxes (1m and 4m) are on separate frictionless carts with the larger box on the positive side. Sliding them at a given acceleration, what is the ratio (negative push to positive push) of the force between the boxes?
2.500e-1 (0.25)
A rollercoaster car full of people (554 kg) drops from rest down a 26.4m hill. What is its total kinetic energy at the bottom of the hill in Joules?
1.433e+5 J (143,329 Joules)
If you accelerate to your maximum speed (8 m/s) from rest at 0.3 m/s^2, how far from your initial position must you go in meters?
1.067e+2 m (106.7 meters)
On a planet with gravity 1.378 m/s^2, with what velocity do you have to throw a water balloon at an angle of 63 degrees up from horizontal if the balloon hits your friend (1.7m tall) standing 85m away from a building roof (11.7m high)?
1.169e+1 m/s (11.69 m/s)
You stack two boxes (1m and 4m) to slide across the floor at constant velocity. The coefficient of kinetic friction is 0.1. In the configuration where there is the MOST force between the boxes, what is the ratio of the force between the boxes to the force you must apply?
8.000e+0 (8)
Moving negatively (-8 m/s, 227 kg mass), you collide in line with and stick to Kriday (200 kg) who was moving toward you (+7 m/s) and your cars crumple together. What will your final velocity be in m/s?
-9.742e-1 m/s (-0.9742 m/s)
A 554 kg rollercoaster car slows to a stop over a braking distance of 28m from maximum speed. How much braking force must be exerted in Newtons?
5.119e+3 N (5119 N)
You and your bumper car have a combined mass of 227 kg and a top speed of 8 m/s. What is your kinetic energy at top speed in Joules?
7.264e+3 J (7,264 Joules)
Your friend stands 85m away and runs at 3 m/s toward the building entrance directly below you. On a planet with gravity 1.378 m/s^2, how many seconds after he starts running should you drop a balloon (10m vertical drop to his head) to hit him?
2.452e+1 seconds (24.52 seconds)
Two stacked boxes (1m and 4m) are pushed on the floor until static friction (0.4) breaks, after which pushing continues with that same threshold force against kinetic friction (0.1). After pushing for time t, you let go. How much time does it take to slide to a stop as a factor of t?
3.000e+0 (3t)
You (227 kg) move at +8 m/s and collide elastically head-on with Kriday (200 kg) moving at -7 m/s. What is your velocity after the elastic collision in m/s?
-6.052e+0 m/s (-6.052 m/s)
After the vertical loop, the coaster goes through a horizontal loop. At what angle in degrees up from horizontal must the horizontal loop be banked to eliminate friction forces?
8.600e+1 degrees (86 degrees)
Your broken bumper car (227 kg) slides 10m to a stop on crushed ground where the coefficient of kinetic friction is 0.3. What is the magnitude of work done by kinetic friction in Joules?
6.674e+3 J (6,674 Joules)
With what power in Watts does the gravitational potential energy of the 554 kg coaster car at the top of the 26.4m hill turn into kinetic energy at the bottom?
6.175e+4 W (61,750 Watts)