Force and acceleration lab report

From this perspective, we can determine the relationship between force and acceleration from this experiment. From Second Newton’s of Motion, we have the formula Fx = Max where Fx is the force applied, M the mass of the body, and ax the acceleration moved by the body due to the exerted force (Plastino et al. However, this experiment was conducted on an inclined frictionless surface to test the relationship between force and acceleration. In this case, the body will tend to accelerate down the slope due to the force of gravity. Where mg will be the weight of the body which is perpendicular to the horizontal surface, α the tilting angle of the inclined surface, and g the force of gravity that causes motion to the body.

In this case, the force to be measured is calibrated to zero in the force sensor device. The next step is the experimental setups. In this stage, angle α is measured using a protractor. Using a supporting rod connected to one side of a Dynamics Track and the force sensor, the track is set at the highest point of the inclined side. A cart is then placed on the Dynamics Tracks and then hooked to the force sensor using a string. Taking g = 9. 81 m/s2 When Angle (α) = 30 ͦ Mass (KG) Force Sensor reading (Fx in Newton) Measured gravitational acceleration along a slope ax = Fx/m (m/s2) The theoretical value of gravitational acceleration along a slope ax= g sinα (m/s2) Percentage error [(g sinα - ax)/ g sinα ]* 100% 256.

90 Table 1 When Angle (α) = 20 ͦ Mass (KG) Force Sensor reading (Fx in Newton) Measured gravitational acceleration along a slope ax = Fx/m (m/s2) The theoretical value of gravitational acceleration along a slope ax= g sinα (m/s2) Percentage error [(g sinα - ax)/ g sinα ]* 100% 254. 89 Table 2 When Angle (α) = 10 ͦ Mass (KG) Force Sensor reading (Fx in Newton) Measured gravitational acceleration along a slope ax = Fx/m (m/s2) The theoretical value of gravitational acceleration along a slope ax= g sinα (m/s2) Percentage error [(g sinα - ax)/ g sinα ]* 100% 0. 89 Table 3 Analysis The graphical representation of Fx vs. The more the angle of inclination, the more gravitational acceleration is expected. Work Cited Mozaffari, Mohammad Hamed, Hamed Abdy, and Seyed Hamid Zahiri. "IPO: an inclined planes system optimization algorithm.