Answer:
P = 1333.33 N
Explanation:
The pressure exerted by the boy on the floor can be calculated by the following equation:
where,
P = Pressure exerted by the boy = ?
F = Force Applied = Weight of Boy = 40 kg = 40 N (since 1 kg = 1N)
A = Area of application of force = 2(Area of one show) = 2(6 cm x 25 cm)
A = 2(0.06 m x 0.25 m) = 0.03 m²
Therefore,
<u>P = 1333.33 N</u>
1) 256.9 N/m
The force applied to the spring is equal to the weight of the block hanging on the spring:
And the spring constant can be found by using Hook's law, because we know that the displacement caused by this force is x = 0.29 m:
2) 1.08 Hz
The angular frequency of oscillation of the spring is given by the formula:
And the frequency of oscillation is given by:
3) 2.19 m/s
The velocity at time t of the block is given by:
where
is the initial velocity of the block
is the angular frequency
t is the time
Substituting t=0.36 s, we find the speed of the block at that time:
And the negative sign means that the direction of the velocity is upward (because the initial velocity was downward)
4) 25.6 m/s^2
The maximum acceleration is given by:
where A is the amplitude of the oscillation.
We can find the amplitude by using the law of conservation of energy: in fact, the kinetic energy at the equilibrium point must be equal to the elastic potential energy at the point of maximum displacement:
So, the maximum acceleration is
5) 95.1 N
The magnitude of the net force acting on the block is given by the difference between the weight and the restoring force of the spring:
First, we need to find the position x at t=0.36 s, which is given by
And so, the net force is
And the negative sign means the direction of the force is upward.