Vectors and Equilibrium
The momentum of particle is numerically equal to its kinetic energy. What is the velocity of the particle?
A) 9 $ms^{-1}$
B) 3 $ms^{-1}$
C) 2 $ms^{-1}$
D) 1 $ms^{-1}$
The range of a projectile when launched at an angle of 15° with the horizontal is 1.5 m. its range, when launched at 45° with the same speed is
A) 3.0 m
B) 1.5 m
C) 6.0 km
D) 0.75 km
A bomb of mass 12 kg, initially at rest, explodes into two pieces of masses 4 kg and 9 kg. Speed of the 8 kg mass is 6 $ms^{-1}$ the kinetic energy of the 4 kg mass is
A) 32 J
B) 48 J
C) 114 J
D) 288 J
A stone is thrown vertically upwards with a velocity of 30 $ms^{-1}$. If the acceleration due to gravity is 10 $ms^{-2}$. What is the distance traveled by the particle during the first second of its motion? Take $g=10\u200ams^{-2}$
A) 30 m
B) 25 m
C) 10 m
D) None of these
A body starting from rest covers a distance of 0.45 km and acquires a velocity o 300 km/hr. Its acceleration will be
A) 0.092 $ms^{-2}$
B) 0.5 $ms^{-2}$
C) 7.71 $ms^{-2}$
D) 0.15 $ms^{-2}$
A force of 100 N acts in a body for 4 seconds, what will be the change in momentum
A) 20 N - s
B) 500 N - s
C) 400 N - s
D) 1000 N - s
The speed of projectile at its highest point if it is projected with initial velocity $v_i$ and at an angle of 45° with the horizontal.
A) $v_i/2\sqrt{2}$
B) $v_i/\sqrt{4}$
C) $v_i/\sqrt{2}$
D) $v_i/\sqrt{3}$
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