Mathematics · Oct / Nov 2022 · Paper 51 · Question 4
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The question as text
4. Figure 3 Two children, Alan and Bhavana, are standing on the horizontal floor of a lift, as shown in Figure 3. The lift has mass 250 kg. The lift is raised vertically upwards with constant acceleration by a vertical cable which is attached to the top of the lift. The cable is modelled as being light and inextensible. While the lift is accelerating upwards, the tension in the cable is 3616 N. As the lift accelerates upwards, the floor of the lift exerts a force of magnitude 565 N on Alan and a force of magnitude 226 N on Bhavana. Air resistance is modelled as being negligible and Alan and Bhavana are modelled as particles.
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4(a)[3]
g
a
a
=
1.5 (m s )
−
2
565
1.5
−
mg
=
m
×
4(b)[3]
m = 50 (kg)
Notes for question 4
M1 Equation in a only, correct no. of terms, condone sign errors
4(a)
A1 Correct equation
A1 oe
4(b)
M1 Equation in m (mass of A) only, correct terms, condone sign errors
A1ft Correct equation ft on their a
A1 cao
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