Answer:
the energy of the spring at the start is 400 J.
Explanation:
Given;
mass of the box, m = 8.0 kg
final speed of the box, v = 10 m/s
Apply the principle of conservation of energy to determine the energy of the spring at the start;
Final Kinetic energy of the box = initial elastic potential energy of the spring
K.E = Ux
¹/₂mv² = Ux
¹/₂ x 8 x 10² = Ux
400 J = Ux
Therefore, the energy of the spring at the start is 400 J.
Anthropology. It focuses on human behavior.
Complete question is:
A 1200 kg car reaches the top of a 100 m high hill at A with a speed vA. What is the value of vA that will allow the car to coast in neutral so as to just reach the top of the 150 m high hill at B with vB = 0 m/s. Neglect friction.
Answer:
(V_A) = 31.32 m/s
Explanation:
We are given;
car's mass, m = 1200 kg
h_A = 100 m
h_B = 150 m
v_B = 0 m/s
From law of conservation of energy,
the distance from point A to B is;
h = 150m - 100 m = 50 m
From Newton's equations of motion;
v² = u² + 2gh
Thus;
(V_B)² = (V_A)² + (-2gh)
(negative next to g because it's going against gravity)
Thus;
(V_B)² = (V_A)² - (2gh)
Plugging in the relevant values;
0² = (V_A)² - 2(9.81 × 50)
(V_A) = √981
(V_A) = 31.32 m/s
Complete Question
The complete question is shown on the first uploaded image
Answer:
The maximum emf is 
The emf induced at t = 1.00 s is 
The maximum rate of change of magnetic flux is 
Explanation:
From the question we are told that
The number of turns is N = 44 turns
The length of the coil is 
The width of the coil is 
The magnetic field is 
The angular speed is 
Generally the induced emf is mathematically represented as

Where
is the maximum induced emf and this is mathematically represented as

Where
is the magnetic flux
N is the number of turns
A is the area of the coil which is mathematically evaluated as

Substituting values


substituting values into the equation for maximum induced emf


given that the time t = 1.0sec
substituting values into the equation for induced emf 


The maximum induced emf can also be represented mathematically as

Where
is the magnetic flux and
is the maximum rate at which magnetic flux changes the value of the maximum rate of change of magnetic flux is
