Answer:
The mass of the cart is 26.7 kg.
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 = [tex]\frac{F}{a}[/tex] or M = [tex]\frac{150N}{5.625m/s^{2} }[/tex]
This works out to 26.6667 kg or approx. 26.7 kg if you are asked to round it to three significant figures.
