To calculate the gradient of the graph, we need to find the change in acceleration divided by the change in applied force. Looking at the graph, we can see that the change in acceleration is 4 m/s^2 and the change in applied force is 10 N.
Gradient = (change in acceleration) / (change in applied force)
Gradient = 4 m/s^2 / 10 N
Gradient = 0.4 s^-2
Since the mass of the block can be calculated using the formula m = F/a, where F is the applied force and a is the acceleration, we can substitute the values given in the question:
m = 10 N / 4 m/s^2
m = 2.5 kg
Therefore, the mass of the block is 2.5 kg.
Two learners are investigating the relationship between the applied force and the acceleration of the block that is initially at REST on the horizontal surface. The block is attached to different mass pieces (M) by a small inextensible string with a negligible tension passing over a frictionless pulley as shown below.
Figure 7: Diagram showing two blocks connected by a string.
The learners repeat the experiment several times using different mass pieces (M) and calculate the acceleration of the block. They plot the following graph from their results:
TOTAL: 13
13
Question 5.4 [2 marks]
Calculate the gradient of the graph.
Question 5.5 [2 marks]
Hence, calculate the mass of the block.
1 answer