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Solution to Test Paper 2

From Mechanics

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Line 130: Line 130:
& 800-900=2000a \\
& 800-900=2000a \\
& a=\frac{-100}{2000}=-0\textrm{.}05 \text{ m}{{\text{s}}^{-2}} \\
& a=\frac{-100}{2000}=-0\textrm{.}05 \text{ m}{{\text{s}}^{-2}} \\
 +
& \text{Car is slowing down} \\
\end{align}</math>
\end{align}</math>
-
Car is slowing down
+
 

Revision as of 10:10, 8 April 2012

Solutions
1 (a) 44.1=219.8t2t=4.944.1=3 sORs=219.832=44.1Hits ground after 3 secondsAGM1

A1

A1


(M1)

(A1)

(A1)


(3 marks) M1: Use of constant acceleration

equation with v=0

A1: Correct equation

A1: Correct s


1 (b) v2=02+29.844.1v=864.36=29.4mORv=0+9.83v=29.4M1

A1

A1


(3 marks)


M1: Use of constant acceleration equation with v=0

A1: Correct equation.

A1: Correct v.


1 (c) Air resistance would slow the ball down. B1 (1 mark) B1: Sensible statement about air resistance.
(7 marks)
2 (a) Image:test2ans2.gif B1 (1 mark) B1: Correct horizontal forces.

Ignore any vertical forces.


2 (b) P=900N B1 (1 mark) B1: Correct value for P.
2 (c) P900=20001.2P=2400+900=3300N M1

A1

A1

(1 mark) M1: Three term equation of motion

A1: Correct equation

A1: Correct P.


2 (d) 800900=2000aa=2000100=0.05 ms2Car is slowing down M1

A1

A1

A1

(4 marks) M1: Three term equation of motion

A1: Correct equation

A1: Correct a

A1: Correct statement


(9 marks)
3 (a) R=209.8=196 N M1

A1

(2 marks) M1: Use of R=mg

A1: Correct R.


3 (b) F=0.4196=78.4 N M1

A1

(2 Marks) M1: Use of F=R

A1: Correct F.


3 (c) 10078.4=20aa=2010078.4=1.08 ms2 M1

A1

A1

(3 marks) M1: Three term equation of motion

A1: Correct equation

A1: Correct a.


(8 marks)
4 (a) Image:test2ans4.gif B1 (1 mark) B1: Correct force diagram
4 (b) 100a=200980sin5a=100200980sin5=1.15 ms2 M1A1

M1

A1

(4 marks) M1: Three term equation of motion

A1: Correct equation

M1: Rearranging equation.

A1: Correct a.


4 (c)

s=05+211.1552=14.4 m

M1

A1

A1

(3 marks) M1: Using a constant acceleration equation

A1: Correct equation

A1: Correct distance.


(8 marks)
5 (a) v=(6i+4j)+(0.2i0.4j)t M1

A1

(2 marks) M1: Use of v=u+at

A1: Correct expression


5 (b) 40.4t=0t=10 s M1

A1

A1

(3 marks) M1: Using j component equal to zero.

A1: Correct equation.

A1: Correct time.

5 (c) r=(6i+4j)30+21(0.2i0.4j)302=270i60jr=2702+602=277 m M1

A1

M1

A1

(4 marks) M1: Using r=ut+21at2

A1: Correct position vector.

M1: Finding distance.

A1: Correct distance

(8 marks)


KEY M1: Method Mark

A1: Accuracy Mark following a method mark

B1: Accuracy Mark not following a method mark

AG: Answer Given in Question – Working must justify answer.

TOTAL: 40 Marks