Math

Question\begin{tabular}{|c|c|} \hline 4 & \begin{tabular}{l} A vehicle of mass 900 kg is travelling with a velocity of 20 m/s20 \mathrm{~m} / \mathrm{s}. \\ What is the momentum of the vehicle? \\ A 45kgm/s45 \mathrm{kgm} / \mathrm{s} \\ B 450kgm/s450 \mathrm{kgm} / \mathrm{s} \\ C 18000kgm/s18000 \mathrm{kgm} / \mathrm{s} \\ D 180000kgm/s180000 \mathrm{kgm} / \mathrm{s} \end{tabular} \\ \hline 5 & \begin{tabular}{l} A bullet of mass 0.10 kg travels horizontally at a speed of 600 m/s600 \mathrm{~m} / \mathrm{s}. It strikes a stationary wooden block of mass 1.90 kg resting on a frictionless, horizontal surface. \\ The bullet stays in the block. \\ What is the speed of the bullet and the block immediately after the impact? \\ A 30 m/s30 \mathrm{~m} / \mathrm{s} \\ B 32 m/s32 \mathrm{~m} / \mathrm{s} \\ C 60 m/s60 \mathrm{~m} / \mathrm{s} \\ D 134 m/s134 \mathrm{~m} / \mathrm{s} \end{tabular} \\ \hline 6 & \begin{tabular}{l} A moving body undergoes a change of momentum. \\ What is a unit for change of momentum? \\ A Nm \\ B N/m\mathrm{N} / \mathrm{m} \\ C Ns \\ D N/s\mathrm{N} / \mathrm{s} \end{tabular} \\ \hline 7 & \begin{tabular}{l} The diagram shows a uniform bridge, 4.0 m long and weighing 10000 N . \\ The bridge is pivoted at one end. A force at the other end gradually increases until the bridge begins to lift. \\ What is the lifting force as the bridge starts to move upwards? \\ A 2500 N \\ B 5000 N \\ C 10000 N\quad 10000 \mathrm{~N} \\ D 20000 N \end{tabular} \\ \hline 8 & \begin{tabular}{l} The diagram shows a wooden beam of weight 20 N . The centre of mass of the beam is labelled MM. \\ There is a pivot at one end of the beam. The beam is kept horizontal by an upward force, F. \\ What is the magnitude of FF ? \\ A 12 N\quad 12 \mathrm{~N} \\ B 20 N \\ C 30 N \\ D 33 N \end{tabular} \\ \hline \end{tabular}

Studdy Solution

STEP 1

What is this asking? What's the momentum of a 900 kg vehicle zipping along at 20 m/s20 \text{ m/s}? Watch out! Don't mix up the units; momentum is measured in kgm/s\text{kg} \cdot \text{m/s}.

STEP 2

1. Recall the momentum formula
2. Plug and chug

STEP 3

Alright, let's **define momentum**!
Momentum (pp) is simply the product of an object's mass (mm) and its velocity (vv).
So, our magic formula is: p=mvp = m \cdot v

STEP 4

Now, let's **plug in** our values.
We know the mass (m=900 kgm = 900 \text{ kg}) and the velocity (v=20 m/sv = 20 \text{ m/s}).
Substituting these into our momentum formula: p=900 kg20 m/sp = 900 \text{ kg} \cdot 20 \text{ m/s}

STEP 5

Time to **calculate**! p=18000 kgm/sp = 18000 \text{ kg} \cdot \text{m/s}

STEP 6

So, the vehicle's momentum is 18000 kgm/s18000 \text{ kg} \cdot \text{m/s}, which matches option C!

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