1. Power = Work / Time
Work = Force x Distance (work done by gravity on the object)
Given: Force = 5.5 N, Distance = 3.0 m, Time = 0.65 sec
Unknown: Power
Solution:
Power = Work / Time = (Force x Distance) / Time = (5.5 N x 3.0 m) / 0.65 sec = 25.4 W
Answer: The power exerted by gravity on the boulder is 25.4 W
2. Power = Work / Time
Work = Force x Distance (work done to lift the object)
Given: Mass = 60 kg, Distance = 2.00 m, Time = 0.5 min
Force = Mass x Gravity
Work = Force x Distance = (Mass x Gravity) x Distance = (60 kg x 9.8 N/kg) x 2.00 m = 1176 J
Power = Work / Time = (Work) / (Time x 60 sec/min) = 1176 J / (0.5 min x 60 sec/min) = 11.76 W
Answer: The power required to lift the object is 11.76 W
3. Change in PE = mass x gravity x change in height
Given: Mass = 800 kg, gravity = 9.8 N/kg, initial height = 72 m, final height = 5 m
Unknown: Change in PE
Change in PE = mass x gravity x (initial height - final height) = (800 kg)(9.8 N/kg)(72 m - 5 m) = 746,600 J
Answer: The change in potential energy of the car is 746,600 J
4. PE = 1/2 k x (x2 - x1)^2
Given: k = 50 N/m, x2 = 0.50 m, x1 = 0.30 m
Unknown: PE
PE = 1/2 k x (x2 - x1)^2 = 1/2 (50 N/m) (0.50 m - 0.30 m)^2 = 2.25 J
Answer: The elastic potential energy stored from the spring's compression is 2.25 J
5. PE = mass x gravity x height
Given: Mass = 55 kg, gravity = 9.8 N/kg, height = 310 m
PE = mass x gravity x height = (55 kg) (9.8 N/kg) (310 m) = 167950 J
Answer: The potential energy of the refrigerator is 167950 J
6. KE = 1/2 mv^2
Given: Mass = 100 kg, velocity = 17 m/s
Unknown: KE
KE = 1/2 mv^2 = 1/2 (100 kg) (17 m/s)^2 = 14,450 J
Answer: The car's kinetic energy is 14,450 JCorrect me if im wrong thanks
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Answers & Comments
1. Power = Work / Time
Work = Force x Distance (work done by gravity on the object)
Given: Force = 5.5 N, Distance = 3.0 m, Time = 0.65 sec
Unknown: Power
Solution:
Power = Work / Time = (Force x Distance) / Time = (5.5 N x 3.0 m) / 0.65 sec = 25.4 W
Answer: The power exerted by gravity on the boulder is 25.4 W
2. Power = Work / Time
Work = Force x Distance (work done to lift the object)
Given: Mass = 60 kg, Distance = 2.00 m, Time = 0.5 min
Unknown: Power
Solution:
Force = Mass x Gravity
Work = Force x Distance = (Mass x Gravity) x Distance = (60 kg x 9.8 N/kg) x 2.00 m = 1176 J
Power = Work / Time = (Work) / (Time x 60 sec/min) = 1176 J / (0.5 min x 60 sec/min) = 11.76 W
Answer: The power required to lift the object is 11.76 W
3. Change in PE = mass x gravity x change in height
Given: Mass = 800 kg, gravity = 9.8 N/kg, initial height = 72 m, final height = 5 m
Unknown: Change in PE
Solution:
Change in PE = mass x gravity x (initial height - final height) = (800 kg)(9.8 N/kg)(72 m - 5 m) = 746,600 J
Answer: The change in potential energy of the car is 746,600 J
4. PE = 1/2 k x (x2 - x1)^2
Given: k = 50 N/m, x2 = 0.50 m, x1 = 0.30 m
Unknown: PE
Solution:
PE = 1/2 k x (x2 - x1)^2 = 1/2 (50 N/m) (0.50 m - 0.30 m)^2 = 2.25 J
Answer: The elastic potential energy stored from the spring's compression is 2.25 J
5. PE = mass x gravity x height
Given: Mass = 55 kg, gravity = 9.8 N/kg, height = 310 m
Unknown: PE
Solution:
PE = mass x gravity x height = (55 kg) (9.8 N/kg) (310 m) = 167950 J
Answer: The potential energy of the refrigerator is 167950 J
6. KE = 1/2 mv^2
Given: Mass = 100 kg, velocity = 17 m/s
Unknown: KE
Solution:
KE = 1/2 mv^2 = 1/2 (100 kg) (17 m/s)^2 = 14,450 J
Answer: The car's kinetic energy is 14,450 J
Correct me if im wrong thanks