Force and Motion Flashcards
distance-graph
velocity-graph
acceleration and distance in velocity time graph
distance: area under the line of the graph
acceleration: gradient (steepness of line equals to acceleration
Resultant force =
change in momentum / Time
Momentum units
kg m/s
Mass
Kg
Velocity
m/s
A person of mass 50kg is moving at a velocity of 24m/s in a car. The car is involved in an accident and the person is thrown forwards and hits the dashboard. They rapidly stop in a time of 0.1s. Calculate the force exerted on the person.
F= (50x0) - (50x24) ÷ 0.1
F= 0 - 1200 ÷ 0.1
F= -1200 ÷ 0.1
F= -12000N
The ……. it takes to stop the …….the impact force a person will experience.
1) longer
2) smaller
Spreading the change in momentum over a …… time ……. the forces required to act. This in turn ……. the injury.
1) longer
2) reduces
3) reduces
The initial momentum of the mass was 480kgm/s. Calculate its final momentum and hence its final velocity.
Change in momentum = Final momentum- 480
Final momentum = 1000kgm/s
Final Momentum = mass x Final Velocity
1000= 40 x Final Velocity
Final Velocity= 25m/s
A force of 20N is applied to a mass of 40kg for a time of 26s. Calculate the change in momentum.
20N= Change in momentum ÷ 26
20x26= Change in momentum
Change in momentum= 520kgm/s
As long as no external forces act on the system (such as friction) during an interaction:
(total momentum before and after)
Total Momentum Before = Total Momentum After
Momentum in explosions
-Momentum before the explosion is zero
-Momentum after the explosion is also zero because momentum is conserved.
The trolleys traveling in opposite directions have positive and negative momentum. Therefore when you add the total momentum after it will equal zero, so the net momentum is zero.
Newton´s 3rd Law
objects exert equal and opposite forces on each other
Pull of the Earth on the Moon - Pull of the moon on the Earth
Push of the ground on the stone- Push of the stone on the ground
Let the mass of the cannon be 500kg and the mass of the cannon ball be 40kg
If the recoil speed of the cannon is 6m/s calculate the velocity of the cannon ball. Assume to the right is positive.
Momentum Before = Momentum After
0 = (500 x -6) + (40 x v)
0 = -3000 + 40v
40v = 3000
V = 75m/s
A car of mass 1200kg is travelling at 30m/s. It slows down to 12m/s during a time of 8s. Calculate the resultant force applied to the car.
-2700N
A ball of mass 0.5kg is at rest. A force of 25N is applied for 0.4s. Calculate the final Momentum of the ball.
20 kg m/s
A rocket of mass 26,000kg is stationary on the launchpad. The rockets fire and produce a force of 800,000N. What is the final speed of the rocket after 2 minutes?
3700 m/s
A train of mass 50,000kg is travelling at 4m/s. It strikes and connects to a stationary carriage of mass 15,000kg. They move off together. What is their velocity after the collision?
3 m/s
Lever:
An object rotating or trying to rotate
Pivot:
The point around which the lever is rotating or trying to rotate
moment =
force × perpendicular distance from the pivot
Moment unit
Nm
A force of 2.5N is applied to a door handle to push a door open. The hinge (pivot) is 0.8m from the handle. Calculate the moment which is applied to the door.
moment= 2.5x0.8
moment= 2 Nm