Answer:
the velocity of the boats after the collision is 4.36 m/s.
Explanation:
Given;
mass of fish, m₁ = 800 kg
mass of boat, m₂ = 1400 kg
initial velocity of the fish, u₁ = 12 m/s
initial velocity of the boat, u₂ = 0
let the final velocity of the fish-boat after collision = v
Apply the principle of conservation of linear momentum for inelastic collision;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
800 x 12 + 1400 x 0 = v(800 + 1400)
9600 = 2200v
v = 9600/2200
v = 4.36 m/s
Therefore, the velocity of the boats after the collision is 4.36 m/s.
Answer:
What was not required by the Massachusetts Education law of 1642 is;
Children were to be sent to designated schoolmaster for their learning
Explanation:
The Law of 1642 required that parents and master see to it that their children knew the principles of religion and the capital laws of the commonwealth.
The important aspects of the 1642 Law includes;
1) The responsibility for the basic education and literacy of a child are those of the parents and masters of child apprentices
2) Reading and writing competency of all children and servants are a requirement
3) It is the duty of the government, where a parent or master are unable to meet their tutoring responsibility, to see that a child is placed where the basic educational requirement will be met.
The role of a schoolmaster or the setting of a formal school were yet to be formed as at that time.
Vf = Final velocity.
Vi = initial velocity
a = acceleration.
t = time
Vf = Vi + at
Vf = 0 + (2 m/s^2)(3s)
Vf = 6 m/s south
Answer:
0.143 m
Explanation:
The relationship between force applied on a string and stretching of the spring is given by Hooke's law:
where
F is the force exerted on the spring
k is the spring constant of the spring
x is the stretching of the spring from its equilibrium position
In this problem, we have:
F = 20 N is the force applied on the spring
k = 140 N/m is the spring constant
Solving for x, we find how far the spring will stretch:
Due to the law of conservation of momentum, the force exerted on the mallet is equal and opposite to the force exerted on the ball, so the answer is C.
