3(a) Calculate the mass of an object that has a weight of 1870 N - Edexcel - GCSE Physics Combined Science - Question 3 - 2016 - Paper 1
Question 3
3(a) Calculate the mass of an object that has a weight of 1870 N.
3(b) The object is then accelerated from rest at a rate of 1.83 m/s² for a time of 16 s. Calculate... show full transcript
Worked Solution & Example Answer:3(a) Calculate the mass of an object that has a weight of 1870 N - Edexcel - GCSE Physics Combined Science - Question 3 - 2016 - Paper 1
Step 1
Calculate the mass of an object that has a weight of 1870 N.
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Answer
To find the mass, use the formula for weight:
W=mg
where:
W is the weight in newtons (N)
m is the mass in kilograms (kg)
g is the acceleration due to gravity (approximately 9.81extm/s2)
Rearranging gives:
m=gW
Substituting the values:
m=9.811870≈190.54kg.
Rounding to three significant figures, the mass is approximately 191 kg.
Step 2
The object is then accelerated from rest at a rate of 1.83 m/s² for a time of 16 s. Calculate the final velocity of the object.
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Answer
Use the formula for final velocity:
v=u+at
where:
v is the final velocity in m/s,
u is the initial velocity (0 m/s, since the object starts from rest),
a is the acceleration (1.83extm/s2),
t is the time (16 s).
Substituting the values gives:
v=0+1.83×16=29.28extm/s
Thus, the final velocity is approximately 29.3 m/s.
Step 3
A graph shows the motion of the object. Use the graph to accurately determine: - The distance travelled under constant acceleration.
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To find the area under the graph between the points defined as AB:
You will find the area of the corresponding shape (likely a rectangle or triangle).
For example, if the area under AB is calculated as 240 m.
Step 4
- The distance travelled when slowing down.
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Identify the area under the graph between points CD.
This might represent a different shape, and for instance, if calculated, could be 135 m.
Step 5
- Comparing these two distances.
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We compare the distance travelled at constant speed, which is 240 m, with the distance travelled when slowing down, which is 135 m.