You are helping to repair a roof by loading equipment into a bucket that workers hoist to the rooftop. If the rope is guaranteed not to break as long as the tension does not exceed 450 N and you fill the bucket until it has a mass of 42 KG, what is the greatest acceleration that the workers can give the bucket as they pull it to the roof?
F = ma In your case, you're finding acceleration so: a = f/m a = 450N/42kg a = approx. 10.7m/s^2
You are helping to repair a roof by loading equipment into a bucket that workers hoist to the rooftop. If the rope is guaranteed not to break as long as the tension does not exceed 450 N and you fill the bucket until it has a mass of 42 KG, what is the greatest acceleration that the workers can give the bucket as they pull it to the roof? 1st Choose one direction as positive. I choose up as positive!! The weight is a downward force. Weight = 42 * 9.8 = -411.6 N The tension is an upward force = +450 N The sum of these 2 forces causes the mass to accelerate!! +450 + -411.6 = 42 * a +38.4 = 42 * a Maximum acceleration = +0.914 m/s^2 UP
