1. A 1-kg body falls freely from rest, from a height of 80 m. Kuwedzera nekuda kwegiravhiti is 10 m / s2Chii chinonzi simba reinetic when the body hits the ground.
Zvinozivikanwa:
Misa (m) = 1 kg
urefu (h) = 80 m
Kuwedzera nekuda kwegiravhiti (g) = 10 m/s2
Kuda: kinetic energy when the body hits the ground
Solution:
The kwokutanga michina simba (Inio) = simba regiravhiti (FOOT)
MEo =PE = m g h = (1)(10)(80) = 800 Joule
Simba rekupedzisira remakanika (MEt) = simba reinetic (KE)
Musimboti we kuchengetedzwa kwesimba remakanika :
MEo =MEt
PE =KE
800=KE
The final kinetic energy is 800 Joule.
2. Muviri we4 kg free-fall from rest, from a height of 10 m. Acceleration due to gravity is 10 m s-2. What is the kinetic energy and the velocity at 5 meters above the ground.
Zvinozivikanwa:
The change in height (h) = 10 – 5 = 5 meters
Huremu (m) = 4 kg
Kuwedzera nekuda kwegiravhiti (g) = 10 m/s2
Kuda: Kinetic energy at 5 meters above the ground and the velocity at 5 meters above the ground
Solution:
(A) Kinetic energy at 5 meters above the ground
Simba rekutanga remakanika (MEo) = simba regiravhiti (PE)
MEo =PE = m g h = (4)(10)(5) = 200 Joule
Simba rekupedzisira remakanika (EMt) = simba reinetic (EK)
MEt =KE
The principle of conservation of mechanical energy states that the initial mechanical energy = the final mechanical energy.
MEo =MEt
200=KE
Kinetic energy at 5 meters above the ground is 200 Joule.
(B) velocity at 5 mamitas above the ground
Simba rekutanga remakanika (MEo) = simba rekupedzisira remakanika (MEt)
PE =KE
200 = ½ mv2
2(200) / 4 = v2
100 = v2
v = √100
v = 10 m / s
Body’s velocity at 5 meters above the ground is 10 m/s.
3. A mango falls freely from rest, from a height of 2 meters. Acceleration due to gravity is 10 m s-2. Determine mango’s velocity when hits the ground.
Zvinozivikanwa:
urefu (h) = mamita mashanus
Kuwedzera nekuda kwegiravhiti (g) = 10 m/s2
Zvaidiwa: mango’s velocity when hits the ground.
Solution:
Simba rekutanga remakanika (MEo) = simba regiravhiti (PE)
ME =PE = m g h = m (10)(2) = 20 m
Simba rekupedzisira remakanika (MEt) = the kinetic energy (KE)
MEt =KE = ½ mv2
Principle of conservation of mechanical energy states that the initial mechanical energy = the final mechanical energy.
MEo =MEt
20 m = ½ mv2
20 = ½ v2
2(20) = v2
40 = v2
v = √40 = √(4)(10) = 2√10 m/s
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