Analyzing quadrilaterals & drawing figures
1 answer:
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Answer:
Combined velocity = 1.8m/s
Step-by-step explanation:
Since this is a momentum question, we will need to employ the principle of conservation of momentum which says that:
For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
Let m1 be the mass of Sally = 51kg,
m2 = mass of sled = 6kg,
initial velocity of sally before collision = 2m/s,
let the combined velocity of Sally and the sled after collision = vm/s
Momentum before collision is given as
<em>initial velocity u2 of sled is zero because it was just placed at the top of the hill and not moving. </em>
Momentum after collision i.e. when Sally jumps on the sled is given as:
Equating the two expressions, we have:
Divide both sides by 57
≅ 1.8m/s (rounding up to one decimal place)
Therefore, the combined velocity of Sally and the sled after she jumps on it is 1.8m/s.
Answer:
Each payment should be £172.5
Step-by-step explanation:
Cost of electricity for next year = £600
Administration charge = 15%
Daryl wants to pay in four equal instalments throughout the year,
How much should each payment be?
First we need to find the total cost of bill by adding 15% of administration charge by finding 15% of 600
So, 15% of 600 is 90
Now adding 90 into the electricity cost:
600+90
= 690
Now, the total cost of electricity bill is £690
Daryl wants to pay in four equal instalments.
So, divide 690 by 4
Each payment for instalments is:
So, Each payment should be £172.5