Using the definition of work, get a job on the tension of the spring with a spring constant 300,0 H / m 20,0sm. The spring stiffness of the spring gun with 400 Nm pro- ryadili bullet clenched spring by 5.0 cm. Weight 10.0 g bullet from the spray gun shot up. Determine the height to which the ball will fly. The bullet weighing 9.00 g having an initial velocity of 800 m / s, penetrates into filaments lead body weight of 500 kg and You are a flying suspended from it at a speed of 300 m / s. The length of the suspension sphere 1.00 m. On- maximum angle, which deviates the thread.
To determine the height to which the ball will fly, we need to consider the potential energy of the bullet and the work done against gravity.
First, let's calculate the potential energy of the bullet. The potential energy of an object can be calculated using the formula:
Potential Energy = mass * gravitational acceleration * height
Given:
Weight of bullet = 10.0g = 0.01kg
Height = ?
Gravitational acceleration = 9.8 m/s^2
Potential Energy = 0.01kg * 9.8 m/s^2 * height
Next, we need to calculate the work done against gravity. The work done against gravity can be calculated using the formula:
Work = force * distance
Given:
Spring constant (k) = 300,0 H/m
Extension of the spring (x) = 0.05m
Force applied by the spring = k * x
Work_done_against_gravity = weight_of_bullet * distance = force_applied_by_spring * distance
Now, let's substitute the given values into the formulas and solve for the height:
Potential Energy = Work_done_against_gravity
0.01kg * 9.8 m/s^2 * height = (300.0 H/m * 0.05m * 500kg * 9.8 m/s^2 * 1.00m)
Simplifying the equation:
height = (300.0 H/m * 0.05m * 500kg * 9.8 m/s^2 * 1.00m) / (0.01kg * 9.8 m/s^2)
By substituting the given values into the equation, you can solve for the height.