Question

A block of mass 500g is pulled from rest on a horizontal frictionless bench by a steady force F and travels 8m in 2s find ::-
A. acceleration
B. the value of f​

Answer 1

$\large \underline{ \underline {Given:-}}$

• Initial velocity = zero
• Mass of block = 500g
• Applied force = F
• Distance travelled in 2s = 8 m

$\large \underline{ \underline {to \: find:-}}$

• Acceleration
• Value of applied force

$\large \underline{ \underline {Solution:-}}$

❖ Assuming that body has constant acceleration throughout the motion..

Acceleration of block can be easily calculated by applying equation of kinematics.

Second equation of kinematics :

• d = ut + 1/2 at²

» d denotes distance

» u denotes initial velocity

» t denotes time

» a denotes acceleration

By substituting the given values;

➙ d = ut + 1/2 at²

➙ 8 = (0 × 2) + 1/2 a (2)²

➙ 8 = 0 + 4a/2

➙ 8 = 2a

➙ a = 8/2

➙ a = 4 m/s²

♦ As per newton's second law of motion, force is measured as the product of mass and acceleration.

Mathematically, F = m a

Mathematically, F = m a[Mass (m) = 500g = 0.5kg]

➙ F = 0.5 × 4

➙ F = 2 N

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Answer 2

Answer:

$\sf\large \underline{ \underline {Given:-}}$

• Initial velocity = zero
• Mass of block = 500g
• Applied force = F
• Distance travelled in 2s = 8 m

$\sf\large \underline{ \underline {to \: find:-}}$

• Acceleration
• Value of applied force

$\sf\large \underline{ \underline {Solution:-}}$

❖ Assuming that body has constant acceleration throughout the motion..

Acceleration of block can be easily calculated by applying equation of kinematics.

Second equation of kinematics :

d = ut + 1/2 at²

» d denotes distance

» u denotes initial velocity

» t denotes time

» a denotes acceleration

By substituting the given values;

➙ d = ut + 1/2 at²

➙ 8 = (0 × 2) + 1/2 a (2)²

➙ 8 = 0 + 4a/2

➙ 8 = 2a

➙ a = 8/2

➙ a = 4 m/s²

♦ As per newton's second law of motion, force is measured as the product of mass and acceleration.

Mathematically, F = m a

Mathematically, F = m a[Mass (m) = 500g = 0.5kg]

➙ F = 0.5 × 4

➙ F = 2 N

___________________________________________