Question

3.An object of mass 100kg is accelerated uniformly from a velocity of 4 m/s to 8 m/s in 2 seconds. Find the magnitude of the force exerted on the object.​

Answer 1

Answer:

200N

Explanation:

we know the relationship between force and mass and acceleration . F=ma .

a = v-u/t

a=8-4/2

a=4/2-2

F=100 x 2 = 200 N

Answer 2

Given :

• Mass of the object, m= 100 kg

• Initial velocity, u = 4 m/s

• Final velocity, v = 8 m/s

• Time, t = 2 seconds

To Find :

• Magnitude of the force exerted on the object.

Solution :

To Find the force we'll use the Newton's 2nd law of motion which gives us the formula

★ Force = Mass × Acceleration

† Calculation of acceleration

From 1st equation of motion :

★ v = u + at

→ 8 = 4 + (a)(2)

→ 8 = 4 + 2a

→ 2a = 4

→ a = 2 m/s²

† Calculation of Force exerted

★ Force = Mass × Acceleration

→ F = 100 × 2

→ F = 200 N

$\therefore$ Magnitude of the force exerted on the object is 200 N.