Question

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Starting from rest a car acquired a velocity of 16m/s in 4s.If mass of the cart is 3kg Find Force acting on it.Also find Distance travelled by the car .


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Answer 1

Answer:

Distance covered by car is 32 metres.

Force acting on it is 12 newton.

Explanation:

According to the Question

It is given that

• Initial velocity ,u = 0m/s
• Final velocity ,v = 16m/s
• Time taken ,t = 4s
• Mass of cart ,m = 3kg

we need to calculate the force acting on it and distance covered by it .

Firstly we calculate the acceleration of the car .

Using Kinematics Equation

• v = u + at

Putting all the value we get

➺ 16 = 0 + a×4

➺ 16 = 4×a

➺ a = 16/4

➺ a = 4m/s²

So, the acceleration of the car is 4m/s².

As we know that Force is calculated by the product of mass and acceleration .

• F = ma

substitute the value we get

➺ F = 3×4

➺ F = 12N

• Hence, the force acting is 12 newton.

Now, calculating the distance covered by car in given condition.

again using Kinematics Equation

• v² = u² + 2as

substitute the value we get

➺ 16² = 0² + 2×4 ×s

➺ 256 = 0 + 8 × s

➺ 256 = 8×s

➺ s = 256/8

➺ s = 32m

• Hence, the distance covered by the car is 32 metres.

Answer 2

Given :-

Starting from rest a car acquired a velocity of 16m/s in 4s.If mass of the cart is 3kg Find Force acting on it.

To Find :-

Force

Distance travelled

Solution :-

We know that

a = v - u/t

a = 16 - 0/4

a = 16/4

a = 4 m/s²

F = ma

F = 3 × 4

F = 12 N

s = ut + 1/2 at²

s = 0(4) + 1/2 × 4 × (4)²

s = 0 + 2 × 16

s = 0 + 32

s = 32 m