Answer:
The complete question is:
Use a stem and leaf display to organize the following distribution of scores. Use six stems with each stem corresponding to a 10-point interval.
Scores: 16, 42, 53, 41, 69
34, 33, 40, 61, 23
53, 49, 55, 29, 10
44, 64, 51, 21, 39
36, 58, 60, 27, 47
14, 44, 38, 31, 56
The answer is:
The decimal point is 1 digit(s) to the right of the |
1 | 046
2 | 1379
3 | 134689
4 | 0124479
5 | 133568
6 | 0149
Explanation:
Answer:
the crown is false densty= 12556kg/m^3[/tex]
Explanation:
Hello! The first step to solve this problem is to find the mass of the crown, this is found using the weight of the crown in the air by means of the equation for the weight.
W=mg
W=weight(N)=31.4N
M=Mass
g=gravity=9.81m/S^2
solving for M
m=W/g
The second step is find the volume of crown remembering that when an object is weighed in the water the result is the subtraction between the weight of the object and the buoyant force of the water which is the product of the volume of the crown by gravity by density of water
Where
F=weight in water=28.9N
m=mass of crown=3.2kg
g=gravity=9.81m/S^2
α=density of water=1000kg/m^3
V= crown´s volume
solving for V
finally, we remember that the density is equal to the index between mass and volume
To determine the density of the crown without using the weight in the water and with a bucket we can use the following steps.
1.weigh the crown in the air and find the mass
2. put water in a cylindrical bucket and measure its height with a ruler.
3. Put the crown in the bucket and measure the new water level with a ruler.
4. Subtract the heights, and find the volume of a cylinder knowing the difference in heights and the diameter of the bucket, in order to determine the volume of the crown.
5. find density by dividing mass by volume
Answer: 600 J
Explanation:
By definition, the work is the process due to which an applied force causes a mass to move, and can be calculated as the product of the component of the force applied along the direction of the movement, times the distance traveled.
In this case, is W= F*d= 50 N*12 m= 600 J
It can be showed, that the work done on the mass (in absence of friction ) is equal to the change in the kinetic energy of the mass.
If the roller is initially at rest, this means the following:
ΔK= 1/2 m * vf²
Now, applying Newton's 2nd Law, F=m*a ⇒ a= F/m= 3.33 m/s²
If vo=0, we can write the following:
vf²=2*a*x= 2*3.33 m/s²*12m=79.98 m²/s²
Replacing in ΔK, we obtain
ΔK= 1/2*15 kg* 79.98 m²/s²≈ 600 J
Answer:
Explanation:
In this case acceleration is defined as:
,
where k is a constant to be found.
To find the expressions for velocity and position as a function of time you must integrate the expression above for acceleration two times.
Initial conditions and boundary conditions are defined with the rest of the data as:
First integration is equal to:
The boundary condition and initial condition can be used to calculate and :
With this expression for velocity is defined as:
The same can be done to get to expression for position:
To get the total distance traveled you can integrate the velocity expression from time=0 sec to time=4 sec: