Question

Donald Trump has a mass of 108 kg, calculate his height when he is at the following heights (g=9.81 N/kg):

a) 20 J b) 1050 J c) 150 kJ
d) 120 J e) 2000 J f) 57 J
g) 1200 J h) 1 kJ i) 92 kJ

Answer 1

To calculate the height of Donald Trump at different potential energies, we need to use the formula: PE = m × g × h. Using this formula, we can calculate the heights for the given potential energies, which range from 0.01889 m to 139.38621 m.

Step-by-step explanation:

To calculate the height of Donald Trump at different potential energies, we need to use the formula:

PE = m × g × h

For a potential energy of 20 J, we have PE = 20 J. Rearranging the formula, we can solve for height (h) as follows:

h = PE / (m × g) = 20 J / (108 kg × 9.81 N/kg) = 0.01889 m

Using the same method, we can calculate the heights for the other potential energies:

1050 J: h = 1050 J / (108 kg × 9.81 N/kg) = 0.96316 m

150 kJ: h = 150,000 J / (108 kg × 9.81 N/kg) = 139.38621 m

120 J: h = 120 J / (108 kg × 9.81 N/kg) = 0.11267 m

1. 2000 J: h = 2000 J / (108 kg × 9.81 N/kg) = 1.87775 m
2. 57 J: h = 57 J / (108 kg × 9.81 N/kg) = 0.05371 m
3. 1200 J: h = 1200 J / (108 kg × 9.81 N/kg) = 1.12468 m
4. 1 kJ: h = 1000 J / (108 kg × 9.81 N/kg) = 0.94805 m
5. 92 kJ: h = 92,000 J / (108 kg × 9.81 N/kg) = 86.59207 m

Answer 2

(a)

Q=mgh

20=108×9.81×h

20=1059.48h

divide both side by 1059.48

h= 20/1059.48

h=0.02

(b)

1050= 108×9.81×h

1050= 1059.48h

h=1050/1059.48

divide both side by 1059.48

h=0.99

repeat the remaining following and check the answers

(c) h=0.14

(d) h=0.11

(e) h=1.89

(f) h= 0.05

(g) h=1.13

(h) h=0.94

(i) h= 86.84

note the (h) and (i) you need to change the kj to j by multiple by 1000