Three different mass projectiles are launched from the top of a building each at different angles of elevation. Each particle ha
1 answer:
b. The one with the lowest mass has the greatest speed
Explanation:
The kinetic energy of an object is given by
where
m is the mass of the object
v is the speed of the object
In this problem, the three projectiles have different mass, but same initial kinetic energy.
Assuming that there is no air resistance, the mechanical energy is conserved: this means that the three projectiles will have the same kinetic energy when they reach the ground (because the potential energy that they have lost is the same, since they have been launched from the same height, and they reach the same final altitude, the ground).
Therefore,
We see that the kinetic energy is proportional to the product between the mass and the square of the velocity: therefore, the projectile that has lowest mass must have the greater speed, in order to have the same kinetic energy of the other two.
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Answer:
Explanation:
The problem must be addressed through the concepts of electromotive force. By Faraday's law it is defined that
Where
Electromotive Force
N = Number of Loops
A = Area
B = Magnetic Field (chaging through the time)
From this equation and our values, we need to find the time, then we re-arrange the equation
Therefore the time required for the magnetic field to decrease to zero from its maximum value is
Answer:
Part A - 3N/m
Part B - see attachment
Part C - 4.9 × 10-³J
Part D - E = 1/2kd² + 1/2mv² + mgh
Explanation:
This problem requires the knowledge of simple harmonic motion for cimplete solution. To find the spring constant in part A the expression relating the force applied to a spring and the resulting stretching of the spring (hooke's law) is required which is F = kx.
The free body diagram can be found in the attachment. Fp(force of pull), Ft(Force of tension) and W(weight).
The energy stored in the pring as a result of the stretching of d = 5.7cm is 1/2kd².
Part D
Three forces act on the spring-monkey system and they do work in different forms: kinetic energy 1/2mv² , elastic potential
energy due to the restoring force in the spring or the tension force 1/2kd², and the gravitational potential energy mgh of the position of the system. So the total energy of the system E = 1/2kd² + 1/2mv² + mgh.
