Answer:
Rolling case achieves greater height than sliding case
Step-by-step explanation:
For sliding ball:
- When balls slides up the ramp the kinetic energy is converted to gravitational potential energy.
- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.
- The ball slides it only has translational kinetic energy as follows:
ΔK.E = ΔP.E
0.5*m*v^2 = m*g*h
h = 0.5v^2 / g
For rolling ball:
- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:
ΔK.E = ΔP.E
0.5*m*v^2 + 0.5*I*w^2 = m*g*h
- Where I: moment of inertia of spherical ball = 2/5 *m*r^2
w: Angular speed = v / r
0.5*m*v^2 + 0.2*m*v^2 = m*g*h
0.7v^2 = g*h
h = 0.7v^2 / g
- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.
ATQ
Now
From all equations
Now
Adding 3 and 4
One side won't be covered hence
Answer:
<u>The approximate total weight of the grapefruits, using the clustering estimation technique is B. 35 ounces.</u>
Step-by-step explanation:
We notice that the weights of the grapefruits given are slightly down or above 7, then we will use <em>7 as our cluster</em> for the estimation, as follows:
Weights
7.47 ⇒ 7
7.23 ⇒ 7
6.46 ⇒ 7
7.48 ⇒ 7
6.81 ⇒ 7
<u>Now we can add up 7 + 7 + 7 + 7 + 7 for the weights of the grapefruits and the approximate total weight is B. 35 ounces.</u>
Question is Incomplete; Complete question is given below;
Mr. Lin hires a moving company to help transport furniture to his new home. The bill from the moving company is $400. Mr. Lin includes a 15% tip with his payment.
What is Mr. Lin’s total payment, including tip?
Answer:
Mr. Lin made a Total payment of $460 including the Tip.
Step-by-step explanation:
Given:
Total bill = $400
Percentile amount paid in tip = 15%
We need to find the total payment, including tip.
Solution:
First we will find the amount paid in Tip.
amount paid in Tip can be calculated by Percentile amount paid in tip multiplied by Total bill and then divided 100.
amount paid in Tip = 
Now we know that;
Total payment made by Mr.Lin is equal to sum of Total bill and amount paid in Tip.
framing in equation form we get;
Total payment made by Mr.Lin = 
Hence Mr. Lin made a Total payment of $460 including the Tip.
Answer:
D
Step-by-step explanation:
Any set of three angles that add up to 180 degrees can form a triangle.
