Home
Class 12
PHYSICS
A projectile of mass 2kg has velocities ...

A projectile of mass `2kg` has velocities `3m//s` and `4m/s` at two points during its flight in the uniform gravitational field of the earth. If these two velocities are perpendicular to each other, then the minimum kinetic enerty of the particle during its flight is

A

6.32 J

B

8.40 J

C

16.32 J

D

5.76 J

Text Solution

Verified by Experts

The correct Answer is:
D

`rArr 4 cos theta=3 sin theta =v rArr theta=53^(@) & v=12//5 m//s`
`rArr " minimum KE"=1/2mv^(2)=1/2(2) ((12)/(5))^(2)=5.75J`
Promotional Banner

Similar Questions

Explore conceptually related problems

A projectile of 2 kg has velocities 3 m//s and 4 m//s at two points during its flight in the uniform gravitational field of the earth. If these two velocities are _|_ to each other then the minimum KE of the particle during its flight is

Two bodies of masses 2kg and 4 kg are moving with velocities 20 m/s and 10m/s towards each other due to mutual gravitational attraction . What is the velocity of their centre of mass ?

Two bodies of different masses 2kg and 4kg are moving with velocities 2m//s and 10m//s towards each other due to mutual gravitational attraction. Then the velocity of the centre of mass is

2 bodies of different masses of 2 kg and 4 kg are moving with velocities 20 m//s and 10 m//s towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass?

Two smooth spheres A and B of masses 4kg and 8kg move with velocities 9m//s and 3m//s in opposite directions. If A rebounds on its path with velocity 1m//s , then

A particle of mass 1 kg has a velocity of 2m//s . A constant force of 2N acts on the particle for 1s in a direction perpendicular to its initial velocity. Find the velocity and displacement of the particle at the end of 1 s.

A 2.0-kg projectile is fired with initial velocity components v_(o x)=30 m//s and v_(o y)=40 m//s from a point on the earth's surface. Neglect any effects due to air resistance. What is the kinetic energy of the projectile when it reaches the highest point in its trajectory ?

A charged particle of charge 2 muC and mass 10 milligram, moving with a velocity of 1000 m//s enters a uniform electric field of strength 10^(3) N//C directed perpendicular to its direction of motion. Find the velocity and displacement of the particle after 10s .