final speed of the 3.0 kg cart is 2.67 m/s .
<u>Step-by-step explanation:</u>
Here we have , A 2.0 kg cart moving right at 5.0 on a friction less track collides with a 3.0 kg cart initially at rest. The 2.0 kg cart has a final speed of 1.0 to the left. We will use law of conservation of momentum: 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.
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Therefore, final speed of the 3.0 kg cart is 2.67 m/s .
Answer:
sin θ = (√21) / 5
tan θ = (√21) / 2
Step-by-step explanation:
Remember the formulas for the <u>trigonometry ratios</u> with SohCahToa:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
If cos θ = 2/5, then:
adjacent = 2
hypotenuse = 5
Remember all right triangles follow the <u>Pythagorean Theorem</u>. So if you are missing one side, you can solve.
Let's find the opposite side.
a² + b² = c²
2² + b² = 5²
4 + b² = 25
b² = 21
b = √21
opposite = √21
Now we know all three sides. <u>Use the trigonometry ratios</u> to find sine and tangent.
sin θ = opposite / hypotenuse
sin θ = (√21) / 5
tan θ = opposite / adjacent
tan θ = (√21) / 2
712/8=?
First found out what 71/8 is. 71/8 is 8 and 7/8. This tells that there is 7 left so now you add 7 to two which gives you 72. Then you divide 72/8=9 and combine 8 and 9 which gives you 89. So 712/8=89
Answer:72
Step-by-step explanation:
Answer:
Step-by-step explanation:
Set the cost equation C(l) = l3 – l2 + l + 2.5 equal to $11.00 and solve for l:
C(l) = 2l + 2.5 = $11, or
2l = 8.5, or l = length = 4.25 inches
