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An 8.40-kg object slides down a fixed, frictionless, inclined plane. Use a computer to determine and tabulate 

(a) the normal force exerted on the object

(b) its acceleration

for a series of incline angles (measured from a horizontal) ranging from 0° to 90° in 5° increments.

(c) Plot a graph of the normal force and acceleration as functions of the inclined angle

(d) In the limiting cases of 0° and 90°, are your results consistent with the known behavior?

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John Edward Cayas
John Edward CayasLv10
8 Nov 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1. A block is placed on a plane whose angle of inclination is 30˚. The coefficients of static and kinetic friction for the block on the inclined plane are both 0.2. The block
(A) remains stationary on the inclined plane.
(B) accelerates down the inclined plane.
(C) travels down the inclined plane at a constant velocity.
(D) travels up the inclined plane at a constant velocity.
(E) accelerates up the inclined plane.

2. An object with a mass of 5.5 kg is allowed to slide from rest down an inclined plane. The plane makes an angle of 30˚ with the horizontal and is 72 m long. The coefficient of friction between the plane and the object is 0.35. The speed of the object at the bottom of the plane is?

3. A 5-kg object slides down a frictionless surface inclined at an angle of 30˚ from the horizontal. The total distance moved by the object along the plane is 10 meters. The work done on the object by the normal force of the surface is?

4. A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and
compresses it a distance x=5.0 cm. The initial speed v of the block was..?



5. The graph shows how the position of a particle depends on time. Which choice is closest to the instantaneous speed of the particle at t = 3s?
(A) 0.40 m/s
(B) 0.67 m/s
(C) 0.75 m/s
(D) 1.50 m/s
(E) 2.22 m/s



6. Calculate the work done by a force, F = 2x i, along the
path (0, 0) -> P1(2, 0) -> P2(2, 2).



Here's the problem
A 6.0—kg block slides 1.5 m down a frictionless incline that makesan angle of 60° with the horizontal. (a) Draw the free-body diagramof the block, and find the work done by each force when the blockslides 1.5 m (measured along the incline). (b) What is the totalwork done on the block? (c) What is the speed of the block after ithas slid 1.5 m, if it starts from rest? (d) What is its speed after1.5 m, if it starts with an initial speed of 2.0 m/s?

The only part I really need help with is a. I'm not sure how tocalculate the work done by friction or normal force, but I foundthe work done by gravity. Thanks!

Suppose a 94.5 kg mass is 3.75 m above the ground, and is droppedfrom rest.

a) If there is no friction, at what speed will the mass hit theground?
m/s

b) Suppose the mass now hits the ground at speed 5.72 m/s. How muchwork was done by friction on the mass? (Give the answer as apositive number.)
J

2. In procedure 1: a box of mass M starts from rest at height h,and slides down a frictionless incline.

a) If the mass of the box increases, the acceleration of the box onthe incline
decreases
increases
remains the same


b) Suppose the speed of M at the bottom of the incline was v. Atwhat height would M have to start so the speed of M at the bottomis 2v?

4h
h
between h and 2h
between 2h and 4h
more than 4h
2h

3. In procedure 2: an inclined plane is 120 cm long, and is tippedat angle ? = 10.5o. The 0 cm mark is at the bottom. Photogate 1 isat the 29.3 cm mark, and photogate 2 is at the 62.5 cm mark alongthe track, Assume

- The bottom of the track is at 0 J potential energy.
- The total mass of the cart is 654 g.
- The track is totally frictionless

NOTE: Be careful of units!


a) Find the potential energy of the cart .
- At photogate 1: J
- At photogate 2: J

b) Suppose the cart is released at rest at photogate 2 (the higherpoint on the track). Find the speed of the cart as it passesphotogate 1.
m/s

4. –in procedure 3: a spring is at the bottom of a frictionlessincline. When a box of mass M compresses the spring distance x andis released from rest, the box slides distance d up the incline(measured from where the box is at rest).

a) Suppose a box of mass 2M is used to compress the spring distancex,and is released from rest. The distance the box will slide up theincline is

d/2
between d and 2d
d/4
2d
between d/2 and d/4
between d/2 and d
d
4d
between 2d and 4d


b) Suppose a box of mass M is used to compress the spring distance2x, and is released from rest. The distance the box will slide upthe incline now is

d/2
2d
between d and 2d
between d and d/2
d/4
4d
between d/4 and d/2
between 4d and 2d
d

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