Physics 5054 · O Level · Turning effect of forces

Turning effect of forces — practice question

A student studies how a metre rule balances when a load of mass $M$ is attached to it at the 5.0 cm mark.
(a(i))[2]

Use the readings from the rule to find where the centre of the 50 g mass lies on the rule.

(a(ii))[1]

Calculate the distance $d$ from the centre of the 50 g mass to the 50.0 cm mark on the rule.

(a(iii))[2]

Calculate the value of $\frac{1000}{d}$.

(b)[1]

Describe a technique that the student uses to make sure that the value of $d$ is as accurate as possible.

(c)[4]

Using the grid in Fig. 3.3, plot a graph of $m$ on the y-axis against $\frac{1000}{d}$ on the x-axis. Draw the straight line of best fit.

(d(i))[2]

Calculate the gradient $G$ of your line. Show all working and indicate on the graph the values you use.

(d(ii))[1]

The mass $M$ of the load fixed to the rule can be found from the equation: $M = 22.2 \times G$ Use your value of $G$ from (d)(i) to calculate the mass $M$ of the load fixed to the rule.

(e)[1]

Suggest why this method of determining the mass $M$ of the fixed load is unsuitable if a movable load of mass $m = 40\,\text{g}$ is used.

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