The potential energy of the block is given by:
V = m*g*h
m mass
g = 9.81m/s²
h height
The potential energy of a spring is given by:
V = 0.5 * k * x²
k spring constant
x compression of the spring
If the block starts from rest it has potential energy, but no kinetic energy. As it slides down the incline potential energy is converted into kinetic energy. When the block hits the spring the kinetic energy is converted into spring's potential energy. If the spring is fully compressed and the block is at rest again, the block has transferred all its energy into the spring. No energy is lost. So we can write:
m * g * h = 0.5 * k * x²
m = 0.5 kg
g = 9.81 m/s²
h = 2.5m * sin 37° = 1,5 m
x = 0,6 m
Solve for k.
k = 2 * m * g * h / x² = 40.8 N/m
The advantage is that we do not run out of resources and a disadvantage is that is dangerous when a “human” gets too close and gets sick by the radiation.
Their difference lies in the prefix used before each root word, atom. The diatomic molecules are composed only of 2 atoms such as that of the diatomic elements: H2, O2, N2, Cl2, etc. On the other hand, polyatomic molecules are made up of three or mole atoms such as NH4+, H2SO4, etc.
Answer:
The new speed of the ball is 176.43 m/s
Explanation:
Given;
mass of the ball, m = 7 kg
initial speed of the ball, u = 5 m/s
applied force, F = 300 N
time of force action on the ball, t = 4 s
Apply Newton's second law of motion;
![F = ma = \frac{m(v-u)}{t}\\\\m(v-u) = Ft\\\\v-u = \frac{Ft}{m}\\\\v = \frac{Ft}{m} + u](https://tex.z-dn.net/?f=F%20%3D%20ma%20%3D%20%5Cfrac%7Bm%28v-u%29%7D%7Bt%7D%5C%5C%5C%5Cm%28v-u%29%20%3D%20Ft%5C%5C%5C%5Cv-u%20%3D%20%5Cfrac%7BFt%7D%7Bm%7D%5C%5C%5C%5Cv%20%3D%20%20%5Cfrac%7BFt%7D%7Bm%7D%20%2B%20u)
where;
v is new speed of the ball
![v = \frac{Ft}{m} + u\\\\v =\frac{300*4}{7} + 5\\\\v = 176.43 \ m/s](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7BFt%7D%7Bm%7D%20%2B%20u%5C%5C%5C%5Cv%20%3D%5Cfrac%7B300%2A4%7D%7B7%7D%20%2B%205%5C%5C%5C%5Cv%20%3D%20176.43%20%5C%20m%2Fs)
Therefore, the new speed of the ball is 176.43 m/s
Total distance traveled = 74 + 83 = 157 km.
Total time traveled = 1 + 5 = 6 hours.
Average speed = total distance / total time
Average speed = 157 km / 6 hours = 26.1666 km per hour.
Round the answer as needed.