A force 200N is applied on a body if it's velocity changes from 5m/s t...
**Calculating the mass of the body using Newton's second law**
According to Newton's second law of motion, the force acting on an object is equal to the mass of the object multiplied by its acceleration. The formula can be written as:
F = m * a
Where:
F is the force applied to the object,
m is the mass of the object, and
a is the acceleration of the object.
**Determining the acceleration of the body**
Acceleration can be calculated using the formula:
a = (v - u) / t
Where:
v is the final velocity,
u is the initial velocity, and
t is the time taken.
Given that the initial velocity (u) is 5 m/s and the final velocity (v) is 10 m/s, we can calculate the acceleration (a) as follows:
a = (10 m/s - 5 m/s) / t
Since the time (t) is not provided, we cannot calculate the exact acceleration. However, we can still proceed to determine the mass of the body using the given force and one of the velocities.
**Calculating the mass of the body**
Using Newton's second law of motion, we can rearrange the formula to solve for mass (m):
m = F / a
Given that the force (F) is 200 N, we need to substitute this value into the formula. However, since we don't have the exact acceleration (a), we can use one of the velocities to calculate an approximate value for the mass.
If we assume that the acceleration is constant, we can use the initial velocity (u) to calculate the approximate acceleration:
a = (v - u) / t
a = (10 m/s - 5 m/s) / t
a = 5 m/s / t
Now, substituting the value of acceleration into the mass formula:
m = F / a
m = 200 N / (5 m/s / t)
Simplifying the equation, we get:
m = 200 N * (t / 5 m/s)
Since we don't have the exact value of time (t), the mass of the body cannot be determined accurately. However, if the time is provided, we can substitute it into the equation to calculate the mass.
A force 200N is applied on a body if it's velocity changes from 5m/s t...
Force=mass/acceleration
Acceleration =(10-5)m/s2,5m/s2
So, mass=200N/5m/s2=40kg
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.