Jessica stretches her arms out 0.6 m from the center of her body while holding a 2 kg mass in each hand. She then spins around on an ice rink at 1.1 m/s.
To find the torque exerted by Jessica on her arms, we can use the formula:
Torque = Force x Distance
In this case, the force is the weight of the masses she is holding, and the distance is the length of her arms.
1. First, let's calculate the force exerted by each mass. We know that the weight of an object is given by the formula:
Weight = Mass x Gravity
where the mass is given as 2 kg and the acceleration due to gravity is approximately 9.8 m/s^2.
So, the force exerted by each mass can be calculated as:
Force = Mass x Gravity
Force = 2 kg x 9.8 m/s^2
Force = 19.6 N (Newton)
2. Next, we need to find the distance at which the force is applied. Given that Jessica stretches her arms out 0.6 m from the center of her body, the distance would be twice that, resulting in:
Distance = 2 x 0.6 m
Distance = 1.2 m
3. Now, let's substitute these values into the torque formula:
Torque = Force x Distance
Torque = 19.6 N x 1.2 m
Torque = 23.52 Nm (Newton-meter)
So, the torque exerted by Jessica on her arms while spinning on the ice rink is 23.52 Nm.