Answer:
Velocity of ball B after impact is [tex]0.6364v_0[/tex] and ball A is [tex]0.711v_0[/tex]
Explanation:
[tex]v_0[/tex] = Initial velocity of ball A
[tex]v_A=v_0\cos45^{\circ}[/tex]
[tex]v_B[/tex] = Initial velocity of ball B = 0
[tex](v_A)_n'[/tex] = Final velocity of ball A
[tex]v_B'[/tex] = Final velocity of ball B
[tex]e[/tex] = Coefficient of restitution = 0.8
From the conservation of momentum along the normal we have
[tex]mv_A+mv_B=m(v_A)_n'+mv_B'\\\Rightarrow v_0\cos45^{\circ}+0=(v_A)_n'+v_B'\\\Rightarrow (v_A)_n'+v_B'=\dfrac{1}{\sqrt{2}}v_0[/tex]
Coefficient of restitution is given by
[tex]e=\dfrac{v_B'-(v_A)_n'}{v_A-v_B}\\\Rightarrow 0.8=\dfrac{v_B'-(v_A)_n'}{v_0\cos45^{\circ}}\\\Rightarrow v_B'-(v_A)_n'=\dfrac{0.8}{\sqrt{2}}v_0[/tex]
[tex](v_A)_n'+v_B'=\dfrac{1}{\sqrt{2}}v_0[/tex]
[tex]v_B'-(v_A)_n'=\dfrac{0.8}{\sqrt{2}}v_0[/tex]
Adding the above two equations we get
[tex]2v_B'=\dfrac{1.8}{\sqrt{2}}v_0\\\Rightarrow v_B'=\dfrac{0.9}{\sqrt{2}}v_0[/tex]
[tex]\boldsymbol{\therefore v_B'=0.6364v_0}[/tex]
[tex](v_A)_n'=\dfrac{1}{\sqrt{2}}v_0-0.6364v_0\\\Rightarrow (v_A)_n'=0.07071v_0[/tex]
From the conservation of momentum along the plane of contact we have
[tex](v_A)_t'=(v_A)_t=v_0\sin45^{\circ}\\\Rightarrow (v_A)_t'=\dfrac{v_0}{\sqrt{2}}[/tex]
[tex]v_A'=\sqrt{(v_A)_t'^2+(v_A)_n'^2}\\\Rightarrow v_A'=\sqrt{(\dfrac{v_0}{\sqrt{2}})^2+(0.07071v_0)^2}\\\Rightarrow \boldsymbol{v_A'=0.711v_0}[/tex]
Velocity of ball B after impact is [tex]0.6364v_0[/tex] and ball A is [tex]0.711v_0[/tex].
Anthony and Angel are making plans for Friday. Anthony wants to go bowling. Angel doesn't bowl well and prefers to go ice-skating at the mall.
Anthony wants Angel to have a good time so he agrees ice-skating will be fun for both of them. Anthony's decision to go ice-skating is an example
of
O evaluation
O arbitration
Omed ation
O compromise
Answer:
4. Compromise
Explanation:
A compromise is when the two disagreeing parties give up something to make a conclusion that both are satisfied with. In this case, Anthony wants Angel to have a good time, so he gives up his bowling.
what is 7/8 + 1/2 on a ruler
Answer:
11/8
Explanation:
7/8+4/8=11/8 if you want it on a ruler you need to go online and type fraction to decimal converter and put in 11/8 into a decimal
3. Which of the following statements is false?
a. The condenser is normally mounted just in front of the radiator.
b. The receiver/dryer is a storage tank for the liquid refrigerant from the condenser.
c.An accumulator is not used in a system with a receiver/dryer.
d All of the above
Answer: c.An accumulator is not used in a system with a receiver/dryer
Explanation:
In a refrigeration system, a condenser is used to transfer heat and this occurs from the refrigerant to the air or water.
Then, the refrigerant then condenses to liquid when the hear has been transferred.
We should note that the condenser is normally mounted in front of the radiator. The receiver/dryer is a storage tank for the liquid refrigerant from the condenser.
The statement that an accumulator is not used in a system with a receiver/dryer is not true. This is because, the accumulator gives protection to the compressor which helps to prevent the failure of the compressor.
Therefore, the answer is C.
How large a force is required to accelerate a 1300 kg car from rest to a speed of 20 m/s in a distance of 80 m?
F=m*a
F=80*20
F =1600 ans"
Answer: basically we are asked to find it's force and the formula that helps us to find force is Force= Mass× Acceleration
so let's put out the given and what we need to find
GIVEN. Solution
F=m.a
Mass= 1300. F=1300kg×20m/s
speed (Acceleration)=20m/2. F=26000Kg.m/s
Force=? F=26000N
N stands for Newton and the reason that it comes Newton is because it is the SI-unit of Force and the result of kg×m/s.
Which size lug nut would fit a metric wheel stud?
A)7/16-20 LH
B)½ X20
C)M12X 1.5
D)7/16-20RH
A genetically engineered hormone.
increasing muscle mass.
can treat Mary's child for growth hormone deficiencies by stimulating body growth and increasing muscle mass.
Answer:
the answer is scientifically science chemistry biochemistry aerospace engineering plato english history world ap history yes
Explanation:
que
A 60-Hz 3-phase induction motor is required to drive a load at approximately 850 rpm. How many poles should the motor have
Answer:
8 poles
Explanation:
Given
[tex]Frequency, f = 60Hz[/tex]
[tex]Speed, n_s = 850rpm[/tex]
Required
Calculate the number of poles the motor should have?
To solve this question, we make use of synchronous angular velocity formula
[tex]n_s = \frac{120f}{P}[/tex]
Where
[tex]P = Number\ of\ Poles[/tex]
Substitute values for [tex]n_s[/tex] and f in [tex]n_s = \frac{120f}{P}[/tex]
[tex]850 = \frac{120 * 60}{P}[/tex]
[tex]850 = \frac{7200}{P}[/tex]
Multiply both sides by P
[tex]P * 850 = \frac{7200}{P} * P[/tex]
[tex]P * 850 = 7200[/tex]
Divide both sides by 850
[tex]\frac{P * 850}{850} = \frac{7200}{850}[/tex]
[tex]P = \frac{7200}{850}[/tex]
[tex]P = 8.47058823529[/tex]
However, the number of poles must be an integer.
So:
[tex]P = 8[/tex]
Question #6 Fill in the Blank Complete the following sentence. The term describes initiatives and products that preserve the environment
Answer:
The term "green" describes initiatives and products that preserve the environment
Explanation:
In order to preserve the environment the Environmental Protection Agency has provides tips for "Being Green on the Road", which highlights the topics including, Green Vehicle Guides, guides for Fuel Economy, guides for Clean Diesel and many more ways our environmental footprint can be reduced
A green economy is an economy that focuses on the reduction of risk of economic activity on the environment, such as the reduction of carbon emission and reduction in environmental pollution, biodiversity loss prevention, and promotes a sustainable development
A green tech aims to protect the environment and to reverse previous damage done to the environment, including technology for clean energy, water purification, and waste recycling.
Answer:
The correct answer is stressor. The durability of building products and structures is affected by stressors such as rain, heat, snow, and hurricanes. Construction standards consider these potential stressors.
Merchants get commission from selling products that are consigned to them true or false
Answer:
true
Explanation:
Which part of Johnson’s speech is MOST effective in persuading the audience to help build the Great Society?
Answer:
the total elimination of poverty and racial injustice.
Which of the following is the use and study of liquid fluids and their motions, properties, behaviors, and interactions?
O pneumatics
O hydraulics
O torque
O fluid power
Answer:
hydraulics
Explanation:
Answer:
b
Explanation: