Question

What is the mass of the with a constant net force of 200N is exerted to accelerate from rest to a velocity of 40m/s in 10 s

Answer 1

Step-by-step explanation:

Force exerted (F) = 200 N

Initial velocity (u) = 0 m/s

Final velocity (v) = 40 m/s

Time taken (t) = 10 s

The mass of the cart (m)

First we have to find the acceleration of the cart

Acceleration is given by the formula,

a = (v - u)/t

Substituting the data,

a = (40 - 0)/10

a = 40/10

a = 4 m/s²

Hence acceleration of the cart is 4 m/s²

Now by Newton's second law of motion,

F = m a

where

F = force acting on the object

m = mass of the cart

a = acceleration

Substituting the datas we get,

200 = m × 4

m = 200/4

m = 50 kg

Hence mass of the cart is 50 kg.

Answer 2

Given :

• Force exerted by the cart is 200 N.
• Initial Velocity (u) = 0 m/s
• Final Velocity (v) = 40 m/s
• Time Taken (t) = 10 sec.

To Find :

• Mass of the Cart .

Solution :

Firstly we will find Acceleration :

Using 1st Equation :

$\longmapsto\tt\boxed{v=u+at}$

Putting Values :

$\longmapsto\tt{40=0+a(10)}$

$\longmapsto\tt{40=10a}$

$\longmapsto\tt{a=\cancel\dfrac{40}{10}}$

$\longmapsto\tt\bf{a=4\:{m/s}^{2}}$

So , The Acceleration is 4 m/s² ...

Now ,

For Mass :

Using Formula :

$\longmapsto\tt\boxed{Mass=\dfrac{Force}{Acceleration}}$

Putting Values :

$\longmapsto\tt{\cancel\dfrac{200}{4}}$

$\longmapsto\tt\bf{50\:kg}$

So , The Mass of the Cart is 50 kg...