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Figure 1 shows a person sliding down a zip wire. (a) As the person slides down the zip wire the change in the gravitational potential energy of the person is 147 kJ The mass of the person is 60 kg gravitational field strength=9.8N/kg Calculate the change in vertical __ __ Change in verical height=

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Figure 1 shows a person sliding down a zip wire.
(a)
As the person slides down the zip wire the change in the gravitational potential energy of the person is 147 kJ
The mass of the person is 60 kg
gravitational field strength=9.8N/kg
Calculate the change in vertical
__
__
Change in verical height=

Figure 1 shows a person sliding down a zip wire. (a) As the person slides down the zip wire the change in the gravitational potential energy of the person is 147 kJ The mass of the person is 60 kg gravitational field strength=9.8N/kg Calculate the change in vertical __ __ Change in verical height=

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InaProfessional · Tutor for 6 years

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The change in vertical height is approximately \( 25 \) m.

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## Step 1: <br />To find the change in vertical height, we need to rearrange the formula for gravitational potential energy, which is \( U = m \cdot g \cdot h \), where \( U \) is the gravitational potential energy, \( m \) is the mass of the object, \( g \) is the acceleration due to gravity, and \( h \) is the height of the object from the ground. <br /><br />### The rearranged formula is \( h = \frac{U}{m \cdot g} \)<br /><br />## Step 2:<br />Substitute the given values into the rearranged formula. The gravitational potential energy \( U \) is given as \( 1.47 \) kJ, which is \( 1470 \) J (since \( 1 \) kJ = \( 1000 \) J). The mass \( m \) of the person is \( 60 \) kg and the gravitational field strength \( g \) is \( 9.8 \) N/kg.<br /><br />### The calculation is \( h = \frac{1470}{60 \cdot 9.8} \)<br /><br />## Step 3:<br />Perform the calculation to find the change in vertical height \( h \).
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