Answer:
Incomplete question
Complete question: Jaclyn plays singles for South's varsity tennis team. During the match against North, Jaclyn won the sudden death tiebreaker point with a cross-court passing shot. The 57.5-gram ball hit her racket with a northward velocity of 26.7 m/s. Upon impact with her 331-gram racket, the ball rebounded in the exact opposite direction (and along the same general trajectory) with a speed of 29.5 m/s.
a. Determine the pre-collision momentum of the ball.
b. Determine the post-collision momentum of the ball.
c. Determine the momentum change of the ball.
Answer:
A. 1.5353kgm/s
B. 1.6963kgm/s
C. 0.161kgm/s
Step-by-step explanation:
A. The pre-collision momentum of the ball = mass of ball × velocity of ball
Mass of ball = 57.5g = 0.0575kg
Velocity of ball = 26.7m/s
Pre-collision momentum of ball = 0.0575×26.7
= 1.5353kgm/s
B. Post collision momentum of the ball = mass of ball × velocity of ball after impact
Velocity of ball after impact = 29.5m/s
Post collision momentum of ball after impact = 0.0575×29.5
= 1.6963kgm/s
C. Momentum change of ball = momentum after impact - momentum before imlact
= 1.6963kgm/s - 1.5353kgm/s
= 0.161kgm/s
Answer: The answer is (C) 1.61.
Step-by-step explanation: Given that the volume of a sphere is equal to the volume of a cube. We are to find the ratio of the edge of the cube to the radius of the sphere.
Let, 'r' be the radius of the sphere and 'e' be the edge of the cube. Then, the volume of the sphere is given by
![V_s=\dfrac{4}{3}\pi r^3,](https://tex.z-dn.net/?f=V_s%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%2C)
and the volume of the cube is
![V_c=e^3.](https://tex.z-dn.net/?f=V_c%3De%5E3.)
According to the question, we have
![V_s=V_e\\\\\Rightarrow \dfrac{4}{3}\pi r^3=e^3\\\\\\\Rightarrow \dfrac{4}{3}\times\dfrac{22}{7}r^3=e^3\\\\\\\Rightarrow 88r^3=21e^3\\\\\Rightarrow 4.44r=2.75e\\\\\Rightarrow \dfrac{e}{r}=\dfrac{4.44}{2.75}\\\\\Rightarrow e:r=1.61.](https://tex.z-dn.net/?f=V_s%3DV_e%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%3De%5E3%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B4%7D%7B3%7D%5Ctimes%5Cdfrac%7B22%7D%7B7%7Dr%5E3%3De%5E3%5C%5C%5C%5C%5C%5C%5CRightarrow%2088r%5E3%3D21e%5E3%5C%5C%5C%5C%5CRightarrow%204.44r%3D2.75e%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7Be%7D%7Br%7D%3D%5Cdfrac%7B4.44%7D%7B2.75%7D%5C%5C%5C%5C%5CRightarrow%20e%3Ar%3D1.61.)
Thus, the correct option is (C) 1.61.
Answer:
72
Step-by-step explanation:
Find the Rule :
2-1=1
3-1.5=1.5= constant
Verification :
1x1.5=1.5
2x1.5=3
9x1.5=13.5
48x1.5=72
What is the rule for input-output table?
An input-output table, like the one shown below, can be used to represent a function. Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (x-value) by 1.5 to find each output number (y-value)