Task 1: Newton's Second Law of Motion 1. 2x Prove that F = m from equations (2.1)- (2.4).

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Prove that F= m (2x/t^2) from equations (2.1) – (2.4).

1. To detemine the relation between force, mass and acceleration.
2. To detemine the value of acceleration đue to gravity, g from principle of conservation of
energy.
Introduction
Newton's Second Law of Motion
Newton's second law of motion relates force to acceleration according to the equation
F = mā
(2.1)
where F is the net force, m is the mass of the object and a is the acceleration in the same
direction as the force.
In this experiment, this relationship is investigated by measuring the acceleration of an object
travelling with different force. The force exerted on the object can be measured using spring
scales. Ignoring friction and air resistance, the object will keep on moving with constant
acceleration when the force is exerted. The relation between displacement, velocity,
acceleration and time is given in the equations for motion of constant acceleration below.
1
x= X, + vgt +at
(2.2)
(2.3)
v = v, + at
y = v + 2a(x-x,)
(2.4)
If the displacement, x and time, 1 of the object is measured, the acceleration of the object can
be determined from equations (2.2) - (2.4). From the acceleration, the force can be written as
Transcribed Image Text:1. To detemine the relation between force, mass and acceleration. 2. To detemine the value of acceleration đue to gravity, g from principle of conservation of energy. Introduction Newton's Second Law of Motion Newton's second law of motion relates force to acceleration according to the equation F = mā (2.1) where F is the net force, m is the mass of the object and a is the acceleration in the same direction as the force. In this experiment, this relationship is investigated by measuring the acceleration of an object travelling with different force. The force exerted on the object can be measured using spring scales. Ignoring friction and air resistance, the object will keep on moving with constant acceleration when the force is exerted. The relation between displacement, velocity, acceleration and time is given in the equations for motion of constant acceleration below. 1 x= X, + vgt +at (2.2) (2.3) v = v, + at y = v + 2a(x-x,) (2.4) If the displacement, x and time, 1 of the object is measured, the acceleration of the object can be determined from equations (2.2) - (2.4). From the acceleration, the force can be written as
Task 1: Newton's Second Law of Motion
1.
Prove that F = m
2x
from equations (2.1)-(2.4).
Transcribed Image Text:Task 1: Newton's Second Law of Motion 1. Prove that F = m 2x from equations (2.1)-(2.4).
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