Name Per

AP Physics Daily Problem #51

A fully loaded semi-truck has a weight of 80,000 pounds Let’s take a theoretical truck and replace its engine with a 5.0HP engine and a suitable gearbox to allow the engine to produce its rated power continuously. The truck will now be driven up the I5 freeway from Santa Clarita to Gorman, an elevation change of 3281 feet. Your job is to figure out how long this trip will take (hint: it’s a while!)

First, convert the English measurements to metric measures:

Determine the time (in hours) that the trip will take

Would you be justified in neglecting wind resistance in this problem? Why? Name Per

AP Physics Daily Problem #52

A jetliner has a gross weight of 250,000kg On its takeoff roll it accelerates from rest to 50m/s in a distance of 3000m. Assume constant acceleration and no friction. (Hint: one part of this problem can’t be solved with energy methods!)

What is the kinetic energy of the airliner after the takeoff roll?

Determine the force of thrust of the aircraft’s engines.

Determine the time required to the acceleration to occur

Determine the power output of the aircraft’s engines. Name Per

AP Physics Daily Problem #53 (1986 #2) D X

h

One end of a spring is attached to a solid wall while the other reaches just to the edge of a horizontal frictionless tabletop, which is a distance h above the floor. A block of mass M is place against the end of the spring and pushed toward the wall until the spring has been compressed a distance X, as show above. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Air resistance in negligible.

Determine expressions for the following quantities in terms of M, X, D, h and g. Note that these symbols do not include the spring constant.

The time elapsed from the instant that the block leaves the table to the instant it strikes the floor.

The horizontal component of the velocity of the block just before it hits the floor.

The work done on the block by the spring.

The spring constant Name Per

AP Physics Daily Problem #54

A 1000kg car traveling at 15m/s strikes a stationary 2000kg truck. The vehicles lock together.

Determine the momentum of the 1000kg car before impact

Determine the momentum of the combined vehicles after impact

Determine the speed of the combined vehicles after impact.

Determine the work done by one vehicle on the other (by the crumpling of metal, etc) Name Per

AP Physics Daily Problem #55

20kg 10kg

A 20kg cart traveling at 15m/s strikes a stationary 10kg cart. After the collision, the 20kg cart is moving at 8.0m/s.

Determine the momentum of the 20kg cart before impact

Determine the total momentum of both vehicles after the collision

Determine the momentum of the 20kg cart after the collision.

Determine speed of the 10kg cart after the collision Name Per

AP Physics Daily Problem #56

20kg 8.0kg

A compressed spring is placed between two carts. It is released, causing both carts to move away from each other. When the spring is fully extended, the speed of the 20kg cart is found to be 5m/s to the left.

Determine the total momentum the two-cart system before the spring is released.

Determine the total momentum of the two cart system after the spring is extended.

Determine the momentum of the 20kg cart after the spring is extended.

Determine the momentum of the 8.0kg cart after the spring is extended

Determine the speed of the 8kg cart after the spring is extended. Name Per

AP Physics Daily Problem #57

A 3.0kg rifle fires a bullet of mass of 25g. The muzzle velocity of the rifle is 300m/s. For the purposes of this problem, consider the rifle to be unrestrained.

What is the total momentum of the rifle-bullet system before the rifle is fired.

What is the total momentum of the rifle-bullet system after the rifle is fired.

Determine the speed of the rifle after it is fired.

The rifle and the bullet have the same momentum, but obviously it is much more dangerous to be hit by the bullet than the rifle. Explain why it is more dangerous to be hit by the bullet in terms of energy. Name Per

AP Physics Daily Problem #58 A 3.0kg ball is thrown from the top of a cliff 8.0m high at a speed of 10.0m/s. The initial velocity vector of the ball is 30 degrees below the horizon. 10m/s. 30 below horizon

8.0m0m

Determine the time in flight

Determine the distance from the foot of the cliff to the impact point.

If the ball bounces elastically, what is the impulse imparted on the ball by the ground? (hint: Notice that only the vertical component of the momentum changes!) Name Per

AP Physics Daily Problem #59 Two balls of mass 5.0kg are placed a the ends of a massless rod. The rod is placed on a sharp fulcrum as shown..

5.0kg 1.0m0m 2.0m0m 5.0kg

Determine the torque about the fulcrum point

Determine the moment of inertia of the masses about the fulcrum point.

Determine the angular acceleration of the rod about the fulcrum point. Name Per

AP Physics Daily Problem #60 A thin ring of mass 5kg and radius 20cm is subjected to a clockwise torque of 50N-m

5.0kg 50N-m

Determine the moment of inertia of the ring about its central axis

Determine the acceleration of the ring in radians/s2.

Determine the angular velocity (in radians/s) after 20s.

Determine the number of rotations made by the ring in the 20s.