# Frictionless Incline Problems 1

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```					Name:____________________________                                                              Date:____________________
Mr. Croom’s Physics                                                                   Chapter 4: Force and the Law of Motion

Frictionless Incline Problems 1

Solve the following problems

1.   A 20 kg block slides down a frictionless inclined plane. The plane is 10 meters long and is inclined at an angle of 35° to the horizontal.
a. Find the acceleration of the block
b. Find the velocity of the block at the bottom of the plane. Assume the block started at rest at the top of the plane.

2.   A box is sitting on an inclined plane of angle 10 degrees. If the box weighs 100 N, find the horizontal (parallel) and vertical (normal)
components of the box’s weight? What is the acceleration of the box down the incline? (Assume no fiction)

3.   A 15kg block is propelled up a 25° frictionless inclined plane with an initial velocity of 2 m/s.
a. What is the acceleration of the block? (Is going up different from going down?)
b. How far up the plane does the block go before coming to rest? (use kinematics!)
c. How long does it take to reach that highest position? (use kinematics!)

4.   In the diagram to right, m1 is equal to 4 kg and m2 is equal to 2 kg.
a. Find the acceleration of the system of blocks.                                                           m2
b. Find the tension in the string.                                                                                 T
m1

37°

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Name:____________________________                                                             Date:____________________
Mr. Croom’s Physics                                                                  Chapter 4: Force and the Law of Motion

5.    (Walker, p. 167, #30) In the figure below we see two blocks connected by a string and tied to a wall. The blocks sit on an incline of 31°
incline. The mass of the lower block is m = 0.8 kg; the mass of the upper block is 2.0 kg. How much force is on the wall? What is the
tension in each string?

6.   (Walker, p. 168, #32) Two blocks are connected by a string, as shown in below. The smooth inclined surface makes an angle of = 42°
with the horizontal, and the block on the incline has a mass m1 = 7.1 kg. Find the mass m2 of the hanging block that will cause the system to
be in equilibrium.

7.   Determine the acceleration of each mass & the tension in the string based on the picture below. Assume the inclined plane is
a frictionless surface.

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