1) Two people sit on a park bench 6.0 ft long, weighing 160 lb. A boy weighing 75lb sits directly over the legs on the left side. A man weighing 170 lb sits 2.0 ft to the right of the boy. How much weight is supported by each leg on the right side
How many legs in each side?
How far from the end of the bench are the legs?
zero
bkwas
85lb each leg
To find out how much weight is supported by each leg on the right side of the bench, we need to calculate the weight distribution based on the given information.
First, let's determine the weight supported by the left side of the bench. The total weight on the left side is the sum of the boy's weight and the weight directly over his position.
Total weight on the left side = Boy's weight + Weight directly over the boy
Total weight on the left side = 75 lb + 0 lb (since the boy is directly over his own legs)
Total weight on the left side = 75 lb
Next, we can calculate the weight on the right side of the bench. As there are two legs on the right side, we can divide the weight evenly between them.
Weight supported by each leg on the right side = Total weight on the right side divided by the number of legs
Weight supported by each leg on the right side = (Total weight of the man + Weight directly over the man) / 2
Weight supported by each leg on the right side = (170 lb + 0 lb) / 2
Weight supported by each leg on the right side = 85 lb
Therefore, each leg on the right side of the bench supports 85 lb of weight.