lab 2 Motion on Incline

Question 1

if an object is not accelerating

Answer 1

F=0, there is no force acting on it , it is at rest
-2 forces both are equal they are canceling out, there is no acceleration, it is at rest: book on top of table.

Question 2

When an object is placed on a “frictionless” inclined plane, there are two forces acting on it:

Answer 2

the force, mg, due to gravity and the normal force, N, exerted on it by the plane

Since the plane is assumed to be frictionless, there is no component of this contact force parallel to the plane. If the x- and y-axes of the system are chosen to be parallel and perpendicular to the incline of the plane respectively, then the weight, mg, can be resolved into its components as shown in Figure 1.

Question 3

Newton’s second law of motion states that:

Answer 3

∑▒F=m×a (1)

Or ∑▒F_x =m×a_x
∑▒F_y =m×a_y

where a_y=0, since there is no motion perpendicular to the plane:

Question 4

Since the plane in Figure 1 has length, L, and is inclined to a height, h, the value of sin θ

Answer 4

is h/L. Substituting this into equation (2) yields an acceleration down the plane of:

a_x=gh/L (3)

Question 5

The constant acceleration of the object on the incline can be determined with the equation of motion

Answer 5

X(t)=X(0)+ V_x (0)+1/2 a_x t^2

Question 6

If the object is released from a starting point, X (0) = 0 with Vx (0) = 0, then the acceleration of the object as it moves through a distance, X, in the time, t, is given by:

Answer 6

a_x= 2X/t^2

Question 7

Combining equations (3) and (4), an equation is obtained which can be used to determine the value of g with data acquired in this experiment:

Answer 7

g= 2XL/(ht^2 )

Question 8

In this experiment there are FOUR VARIABLES.

Answer 8

1. The distance along the ramp.
2. The steepness of the incline which is measured by the ratio of height to length of the ramp.
3. The height from which the object is released on the ramp.
4. The time required for the ball to roll a certain distance down the ramp.

Question 9

HYPOTHESIS A:

Answer 9

Distance is directly proportional to the square of time if acceleration is uniform.

Question 10

HYPOTHESIS B:

Answer 10

Rate of acceleration is proportional to incline of ramp.

Question 11

HYPOTHESIS C:

Answer 11

Objects will reach the same speed from a given height regardless of incline.

Question 12

Height divided by length (h/L) is a measure of

Answer 12

steepness of slope.

Question 13

Distance divided by time squared (d/t2) is

Answer 13

proportional to acceleration.

Question 14

B. Acceleration vs. Slope

The relationship will be linear if and only if acceleration is

Answer 14

directly proportional to slope.

Question 15

what did we assume about the plane

Answer 15

it was frictionless