Respuesta :
Answer:
59.84 N
Explanation:
The net force is responsible for the upward acceleration of the bowling ball.
The net force acting on a body accelerates the body in the same direction as that in which the resultant is applied.
Net force = ma
ma = F - mg
In the first case,
F = 71.6 N, a = a m/s²
ma = 71.6 - mg (eqn 1)
In the second case,
F = 82.3 N, a = 1.91a m/s²
m(1.91a) = 82.3 - mg
1.91 ma = 82.3 - mg (eqn 2)
Substitute for ma in (eqn 2)
1.91 (71.6 - mg) = 82.3 - mg
136.756 - 1.91 mg = 82.3 - mg
136.756 - 82.3 = 1.91 mg - mg
0.91 mg = 54.456
mg = 54.456/0.91
mg = 59.84 N
Hence, the weight of the bowling ball = 59.84 N
Hope this Helps!!!
The weight of the bowling ball is 59.84 N
What is the net force?
The net force should be held responsible where there is the upward acceleration of the bowling ball. When it should be acted on the body so it should be in a similar direction.
We know that
Net force = ma
So,
ma = F - mg
Now
In the first case,
F = 71.6 N, a = a m/s²
ma = 71.6 - mg (eqn 1)
And,
In the second case,
F = 82.3 N, a = 1.91a m/s²
m(1.91a) = 82.3 - mg
So,
1.91 ma = 82.3 - mg (eqn 2)
Now
1.91 (71.6 - mg) = 82.3 - mg
136.756 - 1.91 mg = 82.3 - mg
136.756 - 82.3 = 1.91 mg - mg
0.91 mg = 54.456
mg = 54.456/0.91
mg = 59.84 N
Hence, the weight of the bowling ball = 59.84 N
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