OCR MEI Further Mechanics Minor Specimen — Question 2 5 marks

Exam BoardOCR MEI
ModuleFurther Mechanics Minor (Further Mechanics Minor)
SessionSpecimen
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPower and driving force
TypeFind acceleration given power
DifficultyModerate -0.3 This is a straightforward application of the power-force-velocity relationship (P = Fv) combined with Newton's second law. Students substitute given values to find driving force, then use F = ma to find net force, and finally subtract to find resistance. It's a standard textbook exercise requiring only direct formula application with no problem-solving insight needed.
Spec6.02l Power and velocity: P = Fv

2 A car of mass 1200 kg is travelling in a straight line along a horizontal road. At a time when the power of the driving force is 25 kW , the car has a speed of \(12.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and is accelerating at \(1.5 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). Calculate the magnitude of the resistance to the motion of the car.

Question 2:
AnswerMarks
2Let driving force be D N and resistance RN.
N2L in the direction of motion: D–R(cid:32)1200(cid:117)1.5
C
25000(cid:32)D(cid:117)12.5
E
25000
This gives R(cid:32) (cid:16)1200(cid:117)1.5(cid:32)200
AnswerMarks
12.5M1
I
A1
M1
A1
A1
AnswerMarks
[5]M
3.3
1.1
3.4
1.1
AnswerMarks
1.1Use of N2L.
Allow F in place of D – R.
Any form
Use of P = Dv
AnswerMarks
Any formN2L is Newton's 2nd
law
AnswerMarks Guidance
23 0
3i2 0
3ii2 1
3iii1 0
4i2 1
4ii2 0
5i3 0
5ii1 0
5iii0 0
5iv3 0
6i1 0
6ii2 1
6iii0 2
2
AnswerMarks Guidance
6iv2 0
7i2 0
03
7ii2 1
7iii0 2
Totals31 8
615 60
Question 2:
2 | Let driving force be D N and resistance RN.
N2L in the direction of motion: D–R(cid:32)1200(cid:117)1.5
C
25000(cid:32)D(cid:117)12.5
E
25000
This gives R(cid:32) (cid:16)1200(cid:117)1.5(cid:32)200
12.5 | M1
I
A1
M1
A1
A1
[5] | M
3.3
1.1
3.4
1.1
1.1 | Use of N2L.
Allow F in place of D – R.
Any form
Use of P = Dv
Any form | N2L is Newton's 2nd
law
2 | 3 | 0 | 0 | 2 | 5
3i | 2 | 0 | 0 | 0 | 2
3ii | 2 | 1 | 0 | 1 | 4
3iii | 1 | 0 | 1 | 0 | 2
4i | 2 | 1 | 1 | 0 | 4
4ii | 2 | 0 | 2 | 1 | 5
5i | 3 | 0 | 0 | 0 | 3
5ii | 1 | 0 | 0 | 1 | 2
5iii | 0 | 0 | 0 | 1 | 1
5iv | 3 | 0 | 0 | 2 | 5
6i | 1 | 0 | 0 | 1 | 2
6ii | 2 | 1 | 0 | 3 | 6
6iii | 0 | 2 | 0 | 0 | N
2
6iv | 2 | 0 | 1 | 1 | 4
7i | 2 | 0 | 1 | E
0 | 3
7ii | 2 | 1 | 0 | 1 | 4
7iii | 0 | 2 | 0 | 0 | 2
Totals | 31 | 8 | M
6 | 15 | 60
2 A car of mass 1200 kg is travelling in a straight line along a horizontal road. At a time when the power of the driving force is 25 kW , the car has a speed of $12.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and is accelerating at $1.5 \mathrm {~m} \mathrm {~s} ^ { - 2 }$.

Calculate the magnitude of the resistance to the motion of the car.

\hfill \mbox{\textit{OCR MEI Further Mechanics Minor  Q2 [5]}}