Figure shows (x,t),(y,t) diagram of a particle moving in 2−dimensions.
If the particle has a mass of 500g, the force acting on the particle is (Assume x=t,y=t2 are equation of given graphs)
A
1N along y− axis
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
1N along x− axis
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0.5N along x− axis
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
0.5N along y− axis
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A1N along y− axis Since the graph between x and t is a straight line and passing through the origin. ∴x=t Since the graph between y and t is a parabola. ∴y=t2 ∴vx=dxdt=1 and ax=dvxdt=0. Since ax=0, force along x− direction will be zero. vy=dydt=2t and ay=2ms−2 The force acting on the particle is F=may=(0.5kg)(2ms−2)=1N along y− axis