IRSA IMPORTANT QUESTIONS Flashcards
A seesaw is balanced with a pivot at its centre. On one side, there is a child weighing 40 kg sitting 2 meters away from the pivot. How far from the pivot should another child, weighing 30 kg, sit on the opposite side to keep the seesaw in balance?
2.67
A solid beam 0.5 m long is laid across a pivot to form a simple lever. The pivot is 0.1 m from the end of the beam. Calculate the heaviest load that could be lifted using a force of 500 N.
Moments must first be taken, then using the moment calculate we must find the maximum load from pivot 0.1
How can a lever be used to lift heavy objects?
How does the length of the lever arm affect the moment?
A lever can be used to lift heavy objects by placing the load closer to the fulcrum and applying the effort force at a greater distance. This arrangement increases the mechanical advantage, making it easier to lift the object.
The longer the lever arm, the greater the moment. Increasing the distance from the fulcrum increases the lever’s mechanical advantage.
Why is it difficult to open a door when you push it near the hinges?
When you push a door near the hinges, the moment arm (distance from the pivot point to the point where the force is applied) is small. According to the moment formula (moment = force × distance), a smaller moment arm requires a larger force to create the same moment. Hence, it’s difficult to open the door because you need to apply more force to overcome the small moment arm.
Why do see-saws balance when children of different weights sit on opposite ends?
A see-saw balances because of moments. When a heavier child sits closer to the pivot and a lighter child sits farther away, the product of their weight and distance from the pivot (moment) on both sides remains equal. This balanced moment keeps the see-saw stable, demonstrating the principle of rotational equilibrium.
Why do engineers consider moments when designing structures like bridges?
Engineers consider moments in bridge design to ensure stability and safety. Bridges experience various forces, including the weight of the bridge itself and the loads from vehicles and pedestrians. By calculating and distributing these loads to create balanced moments, engineers ensure that the bridge structure remains stable and can withstand different forces without collapsing. Understanding moments is essential for designing structurally sound and secure bridges
Why doesn’t a book placed on a table accelerate downwards, even though gravity is pulling it down?
The book doesn’t accelerate downwards because the force of gravity is balanced by the normal force exerted by the table upward. When an object is at rest on a surface, like the book on the table, the forces are in equilibrium, meaning the forces are balanced, and there is no net force acting on the object.
Find the acceleration of the object if the force applied is 250 N and the mass of the object is 50 kg.
5
Find the mass of the object if the force applied is 225N and the acceleration of the object is 15 m/𝑠^2.
15
A passenger in an elevator has a mass that exerts a force of 110N downwards. He experiences a normal force upwards from the elevator’s floor of 130N. What direction is he accelerating in, if at all, and at what rate? Use g=10 m/𝑠^2
Calculate net force and note that he is decelerating.
Using F=mg you must calculate the mass of the passenger, m = f/g 110/10 = 11kg
Then using the mass and net force you can calculate the acceleration using F=ma where a = m/f
11/20 = 1.81ms
5
A car of mass =1500 kg is moving with a constant velocity of 20 m/son a straight, level road. Suddenly, the driver applies the brakes, bringing the car to a stop in 10 s.
Calculate:
The force exerted by the brakes to stop the car.
Explain how this problem illustrates Newton’s first law of motion.
a = change in /time = 20/10 = 2
f=ma 1500 x 2 = 3000
Scenario: A box of mass 20 kg is placed on an inclined plane with an angle of 30 degrees. If the coefficient of friction between the box and the plane is 0.4, calculate the force of friction acting on the box when it’s on the verge of sliding down.
using fnet = fric x fnormal
fnormal = w=mg x cos 30
20 x 9.81 x cos 30 x fric(0.4) = 31.92N
Scenario: A 1500 kg car accelerates from rest to a speed of 25 m/s in 10 seconds. Calculate the average force exerted by the car during this acceleration.
a = change in v/t = 25/10 = 2.5
1500 x 2.5 = 3750N
: A spacecraft of mass 2×10^5 kg is moving through space at a constant velocity of 3×10^4 m/s. Suddenly, its engines fail, and no external forces act on it. Calculate the time it takes for the spacecraft to come to a complete stop.
The spaceship will continue moving at constant velocity indefinitely unless acted upon by an external force, as the external force is zero as stated by newtons first law. if v = 0 and u = 3x10^4 then a = 0 t can be calculated as t = v-u/a when the values are plugged the answer is undefined
Scenario: A block of mass 4 kg is placed on a frictionless inclined plane with an angle of 30∘ to the horizontal. Calculate the acceleration of the block down the incline.
F down mgsin30 = 4 x 9.81 x sin 30 = 19.62
19.62 x 0.5 =9.8N
using f down =ma then 9.8/4 = 2.45