The diagram shows a car and passengers at the start of a roller coaster ride at an amusement park. An electric motor pulls the car from A to B at a steady speed. The total mass of the car and passengers is 9500 kg. Calculate the amount of work done on the car and passengers. [Gravitational field strength, g = 10 N/kg]

Photo AI

The diagram shows a car and passengers at the start of a roller coaster ride at an amusement park - Edexcel - GCSE Physics - Question 3 - 2016 - Paper 1

Question 3

The diagram shows a car and passengers at the start of a roller coaster ride at an amusement park. An electric motor pulls the car from A to B at a steady speed. T... show full transcript

Worked Solution & Example Answer:The diagram shows a car and passengers at the start of a roller coaster ride at an amusement park - Edexcel - GCSE Physics - Question 3 - 2016 - Paper 1

Step 1

Calculate the potential energy between A and B

96%

114 rated

Answer

To find the work done, we can use the formula for gravitational potential energy: $PE = m imes g imes h$ Where:

$m$ is the mass (9500 kg)
$g$ is the gravitational field strength (10 N/kg)
$h$ is the height difference (25 m).

Substituting the values:
$PE = 9500 imes 10 imes 25$ . Therefore, the potential energy is calculated as: $PE = 18 imes 9500 imes 10 = 1,710,000 ext{ J} ext{ (or 1.71 MJ)}$

Step 2

Final answer for work done

99%

104 rated

Answer

The amount of work done on the car and passengers is:

$1,710,000 ext{ J}$ Or expressed in kilojoules:

$1,710 ext{ kJ}$

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;