Hey there! To find the tension in the string, we can analyze the forces acting on the ball when it's at the given angle of 37 degrees with the vertical. At that point, the tension in the string will be at its maximum.
To calculate the tension, we need to consider the forces involved. We have the gravitational force pulling the ball downward, and the tension force in the string providing the centripetal force to keep the ball moving in a circle.
Using some physics equations, we can set up the following equation:
Tension - Gravitational force = Centripetal force
The gravitational force can be calculated as the mass (10 kg) multiplied by the acceleration due to gravity (9.8 m/s^2).
The centripetal force can be calculated as the mass (10 kg) multiplied by the square of the velocity (5 m/s), divided by the radius of the circle (5 m).
Plugging in the values, we have:
Tension - (10 kg * 9.8 m/s^2) = (10 kg * (5 m/s)^2) / 5 m
Simplifying the equation, we find:
Tension - 98 N = 50 N
So, the tension in the string is:
Tension = 50 N + 98 N
Tension = 148 N
Therefore, the tension in the string is 148 N.