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Dane is standing on the moon holding an 8 brick 2 metres above the ground . How much en ergy is in the brick's otential energy store? (On the moon the gravit ational field stre ngth is 1.6N/kg) . Give your answer to 1 decimal place. Enter a number loules

Question

Dane is standing on the moon holding
an 8 brick 2 metres above the
ground . How much en ergy is in the
brick's otential energy
store? (On the moon the gravit ational
field stre ngth is 1.6N/kg) . Give your
answer to 1 decimal place.
Enter a number
loules

Dane is standing on the moon holding an 8 brick 2 metres above the ground . How much en ergy is in the brick's otential energy store? (On the moon the gravit ational field stre ngth is 1.6N/kg) . Give your answer to 1 decimal place. Enter a number loules

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VivienneElite · Tutor for 8 years

Answer

PE = 25.6 J

Explain

## Step 1:<br />The concept involved here is gravitational potential energy. Gravitational potential energy is the energy stored in an object due to its height above the ground. It’s the energy associated with the force of gravity. The force of gravity exerted on an object is its weight which is mass times the gravity constant. <br /><br />## Step 2:<br />On the moon, the gravity constant is different from that on Earth. The gravitational field strength on the moon is \(1.6 \, \mathrm{N/kg}\).<br /><br />## Step 3:<br />The formula we use to calculate the gravitational potential energy (PE) is <br /><br />### **PE = mgh**<br /><br />where m represents mass(in kg), g is the acceleration due to gravity(in \(\mathrm{N/kg} \)) and h is the height(in meters).<br /><br />## Step 4:<br />For the given object, the mass m is 8 kg, the height h is 2 m, and the acceleration due to gravity g is \(1.6 \, \mathrm{N/kg}\). <br /><br />## Step 5:<br />Substituting these values into the formula:<br /><br />### **PE = mgh**<br />### **PE = 8 \, \mathrm{kg} * 1.6 \, \mathrm{N/kg} * 2 \, \mathrm{m}**
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