The experiment investigates the acceleration of a trolley moving up an inclined plane under the influence of an applied force. It explores the relationship between acceleration and the angle of inclination, utilizing principles of physics to derive a constant value. Designed for physics students, this experiment emphasizes practical application and data analysis. Key measurements include angle, acceleration, and force, ensuring a comprehensive understanding of dynamics. Results can be used to determine the constant k in the equation of motion.

Key Points

  • Investigates the relationship between trolley acceleration and incline angle.
  • Utilizes a newton meter and light gates for accurate measurements.
  • Calculates acceleration using the formula a = (v² – u²) / 2s.
  • Emphasizes safety precautions to prevent equipment damage during experiments.
Sian Pahlowan Saad
3 pages
Language:English
Type:Study Guide
Accounting
Sian Pahlowan Saad
3 pages
Language:English
Type:Study Guide
Accounting
59
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Question
No.2.1
A student is investigating the acceleration of a trolley moving up an
inclined plane as shown in Fig. 1.1.
Source:
9702/52/M/J/16
The student is investigating the relationship between the acceleration a of the trolley and the angle θ of
the inclined plane when a force F is applied to the trolley.
It is suggested that the relationship is
 󰇛 󰇜
Where g is the acceleration of free fall, m is the mass of the trolley and k is a constant.
Design a laboratory experiment to test the relationship between a and θ. Explain how your results could
be used to determine a value for k. You should draw a diagram, on page 3, showing the arrangement of
your equipment. In your account you should pay particular attention to
• the procedure to be followed,
• the measurements to be taken,
• the control of variables,
• the analysis of the data,
• any safety precautions to be taken.
[15]
Solution: Question no.2.1
Defining Problem:
θ is the independent variable.
a is the dependent variable.
Force F on the trolley, mass m of the trolley and distance s between light gates should be kept
constant.
Methods of the Experiment:
Setup the apparatus as shown in the diagram.
Set the ramp at a particular angle θ.
Pull the newton meter with the help of a string of constant elasticity so that the reading on the
newton meter remains the same.
As it passes through the light gates, the initial and final velocities, u and v respectively, will be
obtained by the data logger and the time taken to pass between the light gates, t, will also be
recorded by the stopwatch.
Measure the distance between light gates (s) by a ruler.
Calculate the acceleration by the formula a = (v
2
-u
2
)/2s.
Repeat the experiments for different values of θ.
Analysis of data:
 󰇛 󰇜


Plot a graph of a against sinθ
Where,
 
and



Safety precaution:
Place some cushions beside the apparatus so that the trolley does not break due to accidental falling.
Additional detail:
The angle of inclination of the plane θ will be measured using trigonometric ratios.
The values of H and L will be measured using a meter rule, hence  
Use a constant extension to produce a constant force when using stretched spring or elastic string.
Measured m using an electronic balance.
Use a d.c. motor to pull the newton meter with a constant force.
Use a longer string to make sure that force is parallel to the plane.
Repeat experiment for each angle θ to find average for a.
The given relationship is valid if the graph becomes a straight line and does not pass through the
origin.
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End of Document
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FAQs

How is acceleration measured in the trolley experiment?
Acceleration is measured using light gates that record the initial and final velocities of the trolley as it passes through. The time taken to travel between the gates is also recorded, allowing for precise calculations. The formula a = (v² - u²) / 2s is then applied, where s is the distance between the light gates. This method ensures accurate and reliable data for analysis.

What safety precautions should be taken during the experiment?
Safety precautions include placing cushions beside the apparatus to prevent damage if the trolley falls. Additionally, ensuring that all equipment is securely set up and that the area is clear of obstacles can help avoid accidents. Students should also be instructed on proper handling of the newton meter and other apparatus to minimize risks.

What variables are controlled in the trolley experiment?
Key variables controlled include the mass of the trolley, the force applied through the newton meter, and the distance between the light gates. By keeping these factors constant, the experiment focuses solely on the relationship between the angle of inclination and acceleration. This control allows for more accurate analysis of the effects of angle on motion.

How does the angle of inclination affect trolley acceleration?
The angle of inclination directly influences the component of gravitational force acting on the trolley. As the angle increases, the sine component of the gravitational force increases, leading to greater acceleration. This relationship is critical in understanding the dynamics of objects on inclined planes and can be analyzed through the derived equation involving the constant k.

What is the significance of the constant k in the experiment?
The constant k represents additional forces acting on the trolley, such as friction or air resistance, which are not accounted for by the gravitational component alone. By analyzing the data collected during the experiment, students can derive the value of k, providing insights into real-world applications of physics principles. Understanding k helps in refining the model of motion for the trolley.