Forces & Motion Calculations IGCSE
v = d/t
Speed & Velocity
What is the velocity of the following?
1. A Formula 1 car that travels 280 m in 4 s.
2. A cheetah that travels 250 m in 10 s.
3. A tortoise that travels 5 m in 1 minute.
How far does each of the following travel in 30 seconds?
4. A marathon runner travelling at 3 m/s.
5. A cyclist travelling at 5 m/s.
6. A drag racer travelling at an average of 60 m/s.
How long does it take for...
7. The marathon runner to travel 1 km?
8. The cyclist to travel 900 m?
9. The drag racer to travel 500 m?
Velocity & Acceleration
a = (v-u)/t
What is the acceleration of the following?
1. A cheetah accelerating from rest to 30 m/s in 5 s.
2. A car accelerating from rest to 20 m/s in 3 s.
3. An antelope accelerating from 5 m/s to 20 m/s in 4 s.
How fast will a car be travelling if it accelerates at 3 m/s2 for...
4. 1 s?
5. 3 s?
6. 10 s?
Force, Mass & Acceleration
F=mxa
How much force is required to...
1. Accelerate a 0.5 kg ball at 50 m/s2?
2. Accelerate a 100 kg cyclist at 1 m/s2?
3. Accelerate a 750 kg car at 5 m/s2?
How fast will the following objects accelerate?
4. A 0.5 kg ball hit with a force of 200 N.
5. A 100 kg cyclist exerting a driving force of 200 N.
6. A 1000 kg car with a driving force of 4000 N.
What is the mass of the following?
7. An object that accelerates at 4 m/s2 when a force of 3000 N is applied.
8. An object that accelerates at 10 m/s2 when a force of 100 N is applied.
9. An object that accelerates at 15 m/s2 when a force of 3500 N is applied.
Forces & Motion Calculations IGCSE
Momentum, Mass & Velocity*
p=mxv
What is the momentum of...
1. A 1500 kg car travelling at 30 m/s?
2. A 100 kg cyclist travelling at 3 m/s?
3. A 0.5 kg ball travelling at 45 m/s?
Calculate the velocity in the following:
4. Two 1 kg balls travelling at 30 m/s collide. One ball bounces off at 25 m/s, how fast is
the other ball?
5. Two ice-skaters push apart from rest. The man, mass 95 kg, moves at 3 m/s. How fast
does the woman, mass 55 kg, move?
6. A toy train, mass 0.5 kg, collides with an identical train while travelling at 0.5 m/s.
They stay joined together. How fast do they move away?
Moments
M=Fxd
Calculate the moment of force when...
1. A 0.3 m long spanner is turned with an applied force of 50 N.
2. A 1 m long wheelbarrow (from the wheel axle to the handles) is lifted with a force of
75 N.
3. A crane lifts a 20,000 N load, 10 m from the pivot.
Calculate the force required to balance the following see-saws.
4. Two children, one with a weight of 40 N and 1 m from the pivot, and one 1.2 m from
the pivot.
5. A child and an adult. The child weighs 40 N and is 1 m from the pivot, the adult is 0.5
m from the pivot.
6. Two adults, one with a weight of 90 N and 1.2 m from the pivot, and one 1 m from
the pivot.
v = 2πr/t
Orbital Speed
Calculate the orbtital speed of the following...
1. The Earth: 149 000 000 km from the Sun. One orbit in 365 ¼ days.
2. Jupiter: 779 000 000 km from the Sun. One orbit in 4,332 days.
3. The Moon: 384 399 km from the Earth. One orbit in 27.3 days.
Gravitational Fields
Calculate how much 50 kg will weight on...
1. The Earth. Gravitational field strength: 10 N/kg.
2. Jupiter. Gravitational field strength: 23 N/kg.
3. Mars. Gravitational field strength: 4 N/kg.
F=mxg
Forces & Motion Calculations IGCSE
Speed & Velocity
What is the velocity of the following?
1. A Formula 1 car that travels 280 m in 4 s. 280/4 = 70 m/s.
2. A cheetah that travels 250 m in 10 s. 250/10 = 25 m/s.
3. A tortoise that travels 5 m in 1 minute. 5/60 = 0.08 m/s.
How far does each of the following travel in 30 seconds?
4. A marathon runner travelling at 3 m/s. 3 x 30 = 90 m.
5. A cyclist travelling at 5 m/s. 5 x 30 = 120 m.
6. A drag racer travelling at an average of 60 m/s. 60 x 30 = 1800 m (1.8km)
How long does it take for...
7. The marathon runner to travel 1 km? 1000/3 = 333 s (5.5 mins).
8. The cyclist to travel 900 m? 900/5 = 180 s (3 mins).
9. The drag racer to travel 500 m? 500/60 = 8.3 s.
Velocity & Acceleration
What is the acceleration of the following?
1. A cheetah accelerating from rest to 30 m/s in 5 s. 30/5 = 6 m/s2.
2. A car accelerating from rest to 20 m/s in 3 s. 20/3 = 6.7 m/s2.
3. An antelope accelerating from 5 m/s to 20 m/s in 4 s. 15/4 = 3.8 m/s2.
How fast will a car be travelling if it accelerates at 3 m/s2 for...
4. 1 s? 3 x 1 = 3 m/s.
5. 3 s? 3 x 3 = 9 m/s.
6. 10 s? 3 x 10 = 30 m/s.
Force, Mass & Acceleration
How much force is required to...
1. Accelerate a 0.5 kg ball at 50 m/s2? 0.5 x 50 = 25 N.
2. Accelerate a 100 kg cyclist at 1 m/s2? 100 x 1 = 100 N.
3. Accelerate a 750 kg car at 5 m/s2? 750 x 5 = 3750 N.
How fast will the following objects accelerate?
4. A 0.5 kg ball hit with a force of 200 N. 200/0.5 = 400 m/s2.
5. A 100 kg cyclist exerting a driving force of 200 N. 200/100 = 2 m/s2.
6. A 1000 kg car with a driving force of 4000 N. 4000/1000 = 4 m/s2.
What is the mass of the following?
7. An object that accelerates at 4 m/s2 when a force of 3000 N is applied. 3000/4 = 750
kg.
8. An object that accelerates at 10 m/s2 when a force of 100 N is applied. 100/10 = 10 kg.
9. An object that accelerates at 15 m/s2 when a force of 3500 N is applied. 3500/15 = 233
kg.
Forces & Motion Calculations IGCSE
Momentum, Mass & Velocity*
What is the momentum of...
1. A 1500 kg car travelling at 30 m/s? 1500 x 30 = 45 000 kg m/s.
2. A 100 kg cyclist travelling at 3 m/s? 100 x 3 = 300 kg m/s.
3. A 0.5 kg ball travelling at 45 m/s? 0.5 x 45 = 22.5 kg m/s.
Calculate the velocity in the following:
4. Two 1 kg balls travelling at 30 m/s collide. One ball bounces off at 25 m/s, how fast is
the other ball?
2 x (1 x 30) = 60 kg m/s. 1 x 25 = 25 kg m/s. 60 – 25 = 35 kg m/s. 35/1 = 35 m/s
5. Two ice-skaters push apart from rest. The man, mass 95 kg, moves at 3 m/s. How fast
does the woman, mass 55 kg, move?
95 x 3 = 285 kg m/s. 285/55 = 5.2 m/s.
6. A toy train, mass 0.5 kg, collides with an identical train while travelling at 0.5 m/s.
They stay joined together. How fast do they move away?
0.5 x 0.5 = 0.25 kg m/s. 0.25/1 = 0.25 m/s.
Moments
Calculate the moment of force when...
1. A 0.3 m long spanner is turned with an applied force of 50 N. 50 x 0.3 = 15 Nm.
2. A 1 m long wheelbarrow (from the wheel axle to the handles) is lifted with a force of
75 N.
75 x 1 = 75 Nm.
3. A crane lifts a 20,000 N load, 10 m from the pivot. 20,000 x 10 = 200,000 Nm.
Calculate the force required to balance the following see-saws.
4. Two children, one with a weight of 40 N and 1 m from the pivot, and one 1.2 m from
the pivot.
40 x 1 = 40 Nm. 40/1.2 = 33 N.
5. A child and an adult. The child weighs 40 N and is 1 m from the pivot, the adult is 0.5
m from the pivot.
40 x 1 = 40 Nm. 40/0.5 = 80 N.
6. Two adults, one with a weight of 90 N and 1.2 m from the pivot, and one 1 m from
the pivot.
90 x 1.2 = 108 Nm. 108/1 = 108 N.
Orbital Speed
Calculate the orbtital speed of the following...
1. The Earth: 149 000 000 km from the Sun. One orbit in 365 ¼ days.
(2 x π x 149 000 000 000)/(365 ¼ x 24 x 60 x 60) = 30 000 m/s.
2. Jupiter: 779 000 000 km from the Sun. One orbit in 4,332 days.
(2 x π x 779 000 000 000)/(4332 x 24 x 60 x 60) = 13 077 m/s.
3. The Moon: 384 399 km from the Earth. One orbit in 27.3 days.
(2 x π x 384 399 000)/(27.3 x 24 x 60 x 60) = 1 023 m/s.
Gravitational Fields
Forces & Motion Calculations IGCSE
Calculate how much 50 kg will weight on...
1. The Earth. Gravitational field strength: 10 N/kg. 50 x 10 = 500 N.
2. Jupiter. Gravitational field strength: 23 N/kg. 50 x 23 = 1150 N.
3. Mars. Gravitational field strength: 4 N/kg. 50 x 4 = 200 N.