In an experiment to measure g, you measure the time taken for a cart, starting f

ID: 1386909 • Letter: I

Question

In an experiment to measure g, you measure the time taken for a cart, starting from rest, on a frictionless slope to travel along the slope. The data is tabulated below. What is the acceleration of the cart?

d (cm)

t (s)

100

3.4

110

3.6

120

3.8

130

3.9

140

4.1

150

4.2

160

4.3

170

4.5

180

4.6

190

4.7

200

4.8

a. 9.81

b. 0.491

c. 0.087

.d 0.174

What is the angle of the slope with respect to the horizontal?

a. 3.02

b. 10.2

c. 1.02

d. 6.50

d (cm)

t (s)

100

3.4

110

3.6

120

3.8

130

3.9

140

4.1

150

4.2

160

4.3

170

4.5

180

4.6

190

4.7

200

4.8

Explanation / Answer

from s = ut + 0.5*a*t^2

u = 0

d = 100 cm = 1m

a = 2s/t^2 = 2d/t^2 = (2*1)/(3.4*3.4)

a = 0.174 m/s^2

option D

part b)

but on the slope a = g*sintheta

g = a/sin theta

sintheta = 0.174/g

theta = 1.02

option C