Download Dynamics and Space Homework Exercises

National 5 Physics
Dynamics and
Space
Homework
Exercises
Homework 1
1. Paul and Paula have been training to run the 200 m race in a local
competition. After the race, they would both like to know what their
speed was.
Describe how they could measure their average speed over the race.
Mention:
(i)
Any equipment used
(ii) Any measurements taken
(iii) Any equations used.
(5)
2. A car travels at a constant speed of 15 ms-1 for a time of 45s. How far has
the car travelled in this time?
(3)
3. A car travels a distance of 3 km at a speed of 20 ms-1. How long will it
take the car to complete its journey?
(3)
4. A train timetable for a journey between Glasgow Central and London
Euston is show below:
Destination
Glasgow
Newcastle
Manchester
London
(a)
(b)
Time of arrival
0800
0930
1145
1430
Cumulative Distance
0km
230km
480km
800km
Calculate the average speed of the total train journey in ms-1.
(4)
Calculate the average speed, in ms-1, between Glasgow and
Newcastle.
(3)
Total (18)
Homework 2
1. The diagram below shows a running track. An athlete runs round the track
once. Calculate:
(a)
(b)
The distance
The displacement of the athlete
(1)
(1)
2. The same athlete runs the track 3 times in a time of 30 minutes 30s.
Calculate:
(a)
(b)
The speed of the athlete
The velocity of the athlete
(3)
(3)
3. A car travels a distance of 10 km South and then travels 8 km East. The
car then travels 6 km North.
(a)
(b)
(c)
Using the above information, draw a diagram of the cars’ journey.
(1)
What is the distance the car has travelled?
(1)
The car travels this distance in a time of 8 minutes. What is the
cars’ average speed?
(3)
4. The diagram below shows the movement of a hill walker from A to B. he
completes his journey in 11 minutes. Using the diagram, calculate his
distance and displacement.
(2)
5. Calculate the distance and displacement for each of the following
diagrams:
(6)
Total (21)
Homework 3
1. A car has an acceleration of 5 ms-2. What does the term ‘acceleration of 5
ms-2’ mean?
(1)
2. A man starts running from rest and reaches a top speed of 8 ms-1. What is
his acceleration if it takes him 9s to reach his top speed?
(3)
3. A car is travelling along at a constant speed of 10 ms-1. The car then
begins to accelerate to a speed of 16 ms-1. If it takes the car 4s to reach
this final speed, calculate the cars’ acceleration.
(3)
4. A car has an acceleration of 2 ms-2. If it takes 10s to reach a final speed
of 25 ms-1, calculate the cars’ initial speed.
(3)
5. A bullet fired from rest reaches its top speed in 0.5s. If the acceleration
of the bullet is 120 ms-2, calculate the final speed of the bullet. (3)
6. A car starts from rest and continues to accelerate at 4.5 ms-1 for a total
time of 15s. What will final speed of the cra be after this time? (3)
7. How long will it take an aircarft to get from 30 ms-1 to 75 ms-1 if the
acceleration of the aircraft is 15 ms-2?
(3)
8. A car is driving along the orad at a constant speed of 15 ms-1. How long
does it take to come to a stop if the car decelerates at 2 ms-2? (3)
9. A car is travelling at a constant speed of 6 ms-1 before it begins to
accelerate at 2.5 ms-2.
(a)
(b)
If the car accelerates for 4s, what is the final speed?
(3)
The car continues to travel at this speed for a further 15s. How far
has the car travelled?
(3)
Total (28)
Homework 4
1. State Newton’s First Law of Motion.
(1)
2. A car of mass 1200 kg has an accelertion of 5 ms-2. Calculate the
unbalanced force.
(3)
3. A trolley of mass 500 g is pushed by an unbalanced force of 700 N.
Calculate the acceleration of the trolley.
(3)
4. A car of mass 900 kg is travelling at a constant speed of 6 ms-1. The car
beings to accelerate to a speed of 12 ms-1. This acceleration takes 9s.
Calculate the unbalanced force acting on the car.
(5)
5. A van of mass 1500 kg has an engine force of 10,000 N pushing it forward.
There is a constant frictional force of 3500 N acting on the van.
Calculate:
(a)
(b)
The unbalanced force acting on the van.
The acceleration of the van.
(1)
(3)
6. A car of mass 800 kg drives down a straight road. The engine of the car
produces a force of 8000 N. The road produces a frictional force of 2000
N and the value of air resistance is 2800 N.
(a)
(b)
(c)
Draw a free-body diagram showing the forces that are acting on the
car.
(2)
State the unbalanced force on the car.
(1)
Calculate the acceleration of the car.
(3)
Total (22)
Homework 5
1. A boy kicks a ball horizontally off a cliff. The ball travels with a speed of
15 ms-1. If it takes the ball 10s to fall to the ground, how far from the
cliff has the ball landed?
(3)
2. A ball is kicked horizontally off a cliff with a speed of 20 ms-1. The ball
lands 400m from the base of the cliff.
(a)
(b)
Calculate how long it takes the ball to travel this distance. (3)
The cliff is 100m high. How long will it take the ball to fall this
height?
(1)
3. A model plane is thrown horizontally from the top of a cliff. The isn’t built
very well and lands on the ground. The plane lands 300m from the base of
the cliff after it was initially thrown with a horizontal speed of 15 ms-1.
Calculate:
(a)
(b)
The time for the plane to travel this distance.
The vertical speed of the plane as it lands.
(3)
(3)
4. During an archery competition, an arrow is fired horizontally from the
bow with a speed of 120 ms-1. The target is 200m away.
(a)
(b)
(c)
Calculate the time it takes for the arrow to hit the target. (3)
Calculate the vertical distance the arrow has fallen since being
fired.
(4)
Describe what the archer must do in order to hit the centre of the
target.
(1)
5. A ball is kicked horizontally of a cliff with a speed of 12 ms-1. The ball
takes 4s to fall to the ground.
(a)
(b)
Draw velocity time graphs representing the horizontal and vertical
motions of the ball. Numerical values of the axes of each graph are
required.
(3)
From the graph, or otherwise, calculate the horizontal and vertical
distances travelled by the ball.
(4)
Total (28)
Homework 6
1. Copy and complete the table giving the definitions of the following terms:
Object
Planet
Moon
Star
Solar System
Galaxy
Definition
(5)
2. What is meant by the term ‘light-year’?
(1)
3. Light from the Sun takes 8 minutes to travel to Earth. Calculate how far
the Earth is from the Sun.
(3)
4. The Voyager 1 satellite is currently 18x109 km away from the Earth. How
long would a radio wave signal take to reach Voyager 1 from Earth.
(3)
5. The next galaxy to our own, Andromeda, is 200,000 light years away.
Describe what is meant by this statement.
(1)
6. The Moon is 400,000 km away from the Earth. In 1969, 3 astronauts went
to the Moon for the first time. From the moment of lift off, it took 3
days to get to the Moon.
(a)
(b)
Calculate the speed the rocket was travelling at (assuming the speed
was constant)
(3)
Draw a free-body diagram showing the forces acting on the rocket
during take-off
(2)
Total (18)