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2. 4 The kinetic energy of the athlete at position mathrm(D) is 1600 mathrm(~J) . mass of athlete =50 mathrm(~kg) Calculate the speed of the athlete at position D. Use the equation: [ ( speed )=sqrt((2 times ( kinetic energy ))/( ( mass ))) ] Choose the unit from the box. [3 marks] mathrm(m) / mathrm(s) mathrm(J) / mathrm(kg) mathrm(J) / mathrm(s) Speed = Unit

Question

2. 4
The kinetic energy of the athlete at position mathrm(D) is 1600 mathrm(~J) .
mass of athlete =50 mathrm(~kg) 
Calculate the speed of the athlete at position D.
Use the equation:
[
 ( speed )=sqrt((2 times ( kinetic energy ))/( ( mass )))
]
Choose the unit from the box.
[3 marks]
 mathrm(m) / mathrm(s) 
 mathrm(J) / mathrm(kg) 
 mathrm(J) / mathrm(s) 
Speed = 
Unit

2. 4 The kinetic energy of the athlete at position mathrm(D) is 1600 mathrm(~J) . mass of athlete =50 mathrm(~kg) Calculate the speed of the athlete at position D. Use the equation: [ ( speed )=sqrt((2 times ( kinetic energy ))/( ( mass ))) ] Choose the unit from the box. [3 marks] mathrm(m) / mathrm(s) mathrm(J) / mathrm(kg) mathrm(J) / mathrm(s) Speed = Unit

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TysonElite · Tutor for 8 years

Answer

Speed \(= 8 \, \text{m/s}\) <br />Unit \(= \text{m/s}\)

Explain

## Step 1:<br />We are given the mass \(m = 50 \, \text{kg}\) and the kinetic energy \(KE = 1600 \, \text{J}\). We need to find the speed \(v\) of the athlete at position \(D\).<br /><br />## Step 2:<br />The formula for speed in terms of kinetic energy and mass is given by:<br />### \(v = \sqrt{\frac{2 \times KE}{m}}\)<br /><br />## Step 3:<br />Substitute the given values into the formula:<br />### \(v = \sqrt{\frac{2 \times 1600 \, \text{J}}{50 \, \text{kg}}}\)<br /><br />## Step 4:<br />Perform the calculation to find the speed:<br />### \(v = \sqrt{\frac{3200 \, \text{J}}{50 \, \text{kg}}}\)<br />### \(v = \sqrt{64 \, \text{m}^2/\text{s}^2}\)<br />### \(v = 8 \, \text{m/s}\)<br /><br />## Step 5:<br />Choose the correct unit for speed from the given options. The correct unit for speed is \(\text{m/s}\).
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