Respuesta :
Answer:
a) 12.8212 N
b) 12.642 N
Explanation:
Mass of bucket = m = 0.54 kg
Rate of filling with sand = 56.0 g/ sec = 0.056 kg/s
Speed of sand = 3.2 m/s
g= 9.8 m/sec2
Condition (a);
Mass of sand = Ms = 0.75 kg
So total mass becomes = bucket mass + sand mass = 0.54 +0.75=1.29 kg
== > total weight = 1.29 × 9.8 = 12.642 N
Now impact of sand = rate of filling × velocity = 0.056 × 3.2 = 0.1792 kg. m /sec2=0.1792 N
Scale reading is sum of impact of sand and weight force ;
i-e
scale reading = 12.642 N+0.1792 N = 12.8212 N
Codition (b);
bucket mass + sand mass = 0.54 +0.75=1.29 kg
==>weight = mg = 1.29 × 9.8 = 12.642 N (readily calculated above as well)
(a)The reading of the scale when there is 0.750 kg of sand in the bucket will be 12.8212 N.
(b) The weight of the bucket and the 0.750 kg of sand is 12.642 N.
What is weight?
Weight is defined as the product of the mass of the body and the gravitational acceleration. Its unit is N.
The given data in the problem is;
m is the mass of bucket= 0.54 kg
Rate of filling with sand = 56.0 g/ sec = 0.056 kg/s
v is the Speed of sand = 3.2 m/s
g is the gravitational aceleration= 9.8 m/sec²
(a)The reading of the scale when there is 0.750 kg of sand in the bucket will be 12.8212 N.
The total mass is found by the sum of the bucket and sand mass which is as;
Total mass= 0.54 +0.75=1.29 kg
Total weight= 1.29 × 9.8 = 12.642 N
The impact of the sand is found by the product of the rate of filling and velocity
Impact of sand= rate of filling × velocity
Impact of sand= 0.056 × 3.2
Impact of sand= 0.1792 kg.m/sec²
Impact of sand= =0.1792 N
The total reading obtained is the sum of impact by the sand and the weight of the sand.
Total reading = 12.642 N+0.1792 N
Total reading= 12.8212 N
Hence the reading of the scale when there is 0.750 kg of sand in the bucket will be 12.8212 N.
(b) The weight of the bucket and the 0.750 kg of sand is 12.642 N.
From the question asked
bucket mass + sand mass = 0.54 +0.75=1.29 kg
weight = mg
weight = 1.29 × 9.8 = 12.642 N
Hence the weight of the bucket and the 0.750 kg of sand is 12.642 N.
To learn more about the weight refer to the link;
https://brainly.com/question/23312072
