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taurus [48]
3 years ago
11

Sand is poured at a constant rate of 75.5 g/s into a 0.540-kg bucket resting on a scale. If sand is landing in the bucket with a

speed of 3.70 m/s, determine the scale reading when there is 0.550 kg of sand in the bucket.
Physics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:10.961 N

Explanation:

Given

mass flow rate in bucket is \dot{m}=75.5 g/s

mass of bucket m=0.540 kg

velocity of sand v=3.70 m/s

Force acting on bucket due to incoming of sand is given by

F=\frac{\mathrm{d} m}{\mathrm{d} t}v

F=75.5\times 10^{-3}\times 3.7=279.35\times 10^{-3} N

Now weight of sand and bucket when 0.55 kg sand is Present in bucket

W_1=(0.54+0.55)\times 9.8

W_1=1.09\times 9.8=10.68 N

Total reading on scale will be addition of weight and force acting by incoming sand

Reading =10.68+0.279=10.961 N

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If two equal charges are separated by a certain distance, the force of repulsion is F. Given F1, if each charge in F1 is doubled
Alisiya [41]

Answer:F_2=16\times F_1

Explanation:

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where q_1 and q_2 is the charges  of particle

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=\frac{kq^2}{r^2}when charges are doubled and distance is reduced to half

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6 0
3 years ago
If a rock is thrown upward on the planet mars with a velocity of 11 m/s, its height (in meters) after t seconds is given by h =
Butoxors [25]
(a) 3.56 m/s 
(b) 11 - 3.72a 
(c) t = 5.9 s 
(d) -11 m/s  
For most of these problems, you're being asked the velocity of the rock as a function of t, while you've been given the position as a function of t. So first calculate the first derivative of the position function using the power rule. 
y = 11t - 1.86t^2 
y' = 11 - 3.72t 
Now that you have the first derivative, it will give you the velocity as a function of t. 
(a) Velocity after 2 seconds. 
y' = 11 - 3.72t 
y' = 11 - 3.72*2 = 11 - 7.44 = 3.56 
So the velocity is 3.56 m/s  
(b) Velocity after a seconds. 
y' = 11 - 3.72t 
y' = 11 - 3.72a  
So the answer is 11 - 3.72a  
(c) Use the quadratic formula to find the zeros for the position function y = 11t-1.86t^2. Roots are t = 0 and t = 5.913978495. The t = 0 is for the moment the rock was thrown, so the answer is t = 5.9 seconds.  
(d) Plug in the value of t calculated for (c) into the velocity function, so: 
y' = 11 - 3.72a
 y' = 11 - 3.72*5.913978495
 y' = 11 - 22
 y' = -11 
 So the velocity is -11 m/s which makes sense since the total energy of the rock will remain constant, so it's coming down at the same speed as it was going up.
3 0
3 years ago
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