Question

a constant net forced of 150 N is exerted to accelerate a cart from rest to velocity of 45 m/s in 8 seconds.what is the mass of the cart?​

Answer 1

The mass of the cart is 26.7 kg.

Step-by-step explanation:

To find this answer use the formula for acceleration first to find how fast the object had to be acccelerating to gain a velocity of 45m/s in 8 seconds flat.

Here's the formula for acceleration:

a = V- V₀ ÷ T (Wher V = final velocity; V₀ = Initial velocity, and T = time)

Plug all known values into the equation and you get -

a = (45m/s - 0m/s) ÷ 8 , which works out to 5.625 m/s²

Once you have this value then you place it into the equation for finding an object's mass, and that formula is:

M =
`(F)/(a)` or M =
`(150N)/(5.625m/s^(2) )`

This works out to 26.6667 kg or approx. 26.7 kg if you are asked to round it to three significant figures.