Answer:
3.90 degrees
Explanation:
Let g= 9.81 m/s2. The gravity of the 30kg grocery cart is
W = mg = 30*9.81 = 294.3 N
This gravity is split into 2 components on the ramp, 1 parallel and the other perpendicular to the ramp.
We can calculate the parallel one since it's the one that affects the force required to push up
F = WsinΘ
Since customer would not complain if the force is no more than 20N
F = 20



So the ramp cannot be larger than 3.9 degrees
To find what a is, consider the equation v=at (v=velocity, a=acceleration, t=time interval), making a=v/t. Take the given v of 853m/s, and divide that by your time IN SECONDS, so 1.2ms=1.2*10^-3s.
a=(853)/(1.2*10^-3)=7.11*10^5 m/s^2.
Now Having F=ma, where a is your acceleration, and m=mass (which is 49*10^-3 kg),
F=(49*10^-3)(7.11*10^5)=3.48*10^4 N
Hope this helps!
Answer:
Part a)
Final speed of the corn is 19.05 m/s
Part b)
Kinetic energy of the corn is 3.1 J
Explanation:
Part a)
As we know that the initial position of the corn is
h = 18.5 m
now we also know that it will fall from rest and moving under constant acceleration so we will have



Part b)
Kinetic energy of the corn is given as


