A single force of magnitude 4 newtons acts on a particle of mass 50 grams - AQA - A-Level Maths Pure - Question 10 - 2017 - Paper 2
Question 10
A single force of magnitude 4 newtons acts on a particle of mass 50 grams.
Find the magnitude of the acceleration of the particle.
Circle your answer.
12.5 m s⁻²
... show full transcript
Worked Solution & Example Answer:A single force of magnitude 4 newtons acts on a particle of mass 50 grams - AQA - A-Level Maths Pure - Question 10 - 2017 - Paper 2
Step 1
Find the mass in kilograms
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The mass is given as 50 grams. Since 1 kilogram is equal to 1000 grams, we convert the mass to kilograms:
ext{Mass} = rac{50}{1000} = 0.05 ext{ kg}
Step 2
Use Newton's Second Law
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
According to Newton's Second Law, the relationship between force, mass, and acceleration is given by:
F=mimesa
Where:
F is the force (4 N)
m is the mass (0.05 kg)
a is the acceleration (unknown)
Rearranging the formula to solve for acceleration gives:
a = rac{F}{m} = rac{4}{0.05}
Step 3
Calculate the acceleration
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Now, substituting the values:
a = rac{4}{0.05} = 80 ext{ m s}^{-2}
Thus, the magnitude of the acceleration of the particle is 80 m s².
