Question

A particle of mass 10gm is moving with the velocity to 40m/s. The particle experinces a registive force of 100 dyne for 20 sec. find the velocity and poistion of the particle along with the distance covered​

Answer 1

Answer:

·   Find the magnitude of velocity by applying the Kinetic energy formula.

·      Find the distance for two revolutions.

·       Apply third equation of motion to find the acceleration.

Step 1: Find the velocity of the particle from the given kinetic energy.

21mv2=8×10−4 

Here, m is the mass of the particle and v is the velocity.

21×10×10−3×v2=8×10−4

v=0.4m/s

Step 2: Write the total distance covered.

s=2(2πr) ( particle covered two revolutions)

Here, s is the total distance covered.

Step 3: Apply the third equation of motion.

v2−u2=2as  (Where v is final velocity, u is initial velocity (given u=0), a is acceleration and s is distance)

⇒(0.4)2=2×a×(4π×6.4×10−2)

∴a=0.1m/s2