A 0.80-kg ball is thrown with a velocity of 13 m/s. The ball hit a 0.12-kg bowling pin. When the ball hits the pin, the pin goes flying forward at 6 m/s. What is the velocity of the ball after it hits the pin?
Answers
Answer:
Climate change will reduce energy demand for heating and increase energy demand for cooling in the residential and commercial
sectors (robust evidence, high agreement); the balance of the two depends on the geographic, socioeconomic, and technological conditions.
Increasing income will allow people to regulate indoor temperatures to a comfort level that leads to fast growing energy demand for air
conditioning even in the absence of climate change in warm regions with low income levels at present. Energy demand will be influenced by
changes in demographics (upward by increasing population and decreasing average household size), lifestyles (upward by larger floor area of
dwellings), the design and heat insulation properties of the housing stock, the energy efficiency of heating/cooling devices, and the abundance
and energy efficiency of other electric household appliances. The relative importance of these drivers varies across regions and will change over
time. {10.2}
Given: A 0.80 kg ball is thrown with a velocity of 13 m/s. The ball hits 0.12 kg bowling pin. When the ball hits the pin, it goes flying forward at 6 m/s
To find: Velocity of ball after it hits the pin
Explanation: Mass of ball (m1) = 0.80 kg
Mass of pin(m2) = 0.12 kg
Initial velocity of the ball(u1) = 13 m/s
Initial velocity of the pin(u2) = 0 ( at rest)
Final velocity of the pin (v2)= 6 m/s
Let final velocity of ball be v.
Using conservation of momentum which is valid for every type of collision:
m1u1+ m2u2= m1v + m2v2
=> 0.8*13 + 0.12*0 = 0.8* v + 0.12* 6
=> 10.4 +0 = 0.8 v + 0.72
=> 10.4-0.72 = 0.8 v
=> v = 9.68/0.8
= 12.1 m/s
Therefore, the final velocity of the ball is 12.1 m/s after it hits the pin.